Probabilistic Methods In Quantum Field Theory And Quantum Gravity

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Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Author : Poul Henrik Damgaard
Publisher : Springer
ISBN 13 : 9781461366867
Total Pages : 374 pages
Book Rating : 4.3/5 (668 download)

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Book Synopsis Probabilistic Methods in Quantum Field Theory and Quantum Gravity by : Poul Henrik Damgaard

Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrik Damgaard and published by Springer. This book was released on 2012-10-31 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Author : Poul Henrik Damgaard
Publisher : Springer Science & Business Media
ISBN 13 : 1461537843
Total Pages : 382 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Probabilistic Methods in Quantum Field Theory and Quantum Gravity by : Poul Henrik Damgaard

Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrik Damgaard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Quantum Mechanics and Quantum Field Theory

Author : Jonathan Dimock
Publisher : Cambridge University Press
ISBN 13 : 1139497480
Total Pages : 239 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Mechanics and Quantum Field Theory by : Jonathan Dimock

Download or read book Quantum Mechanics and Quantum Field Theory written by Jonathan Dimock and published by Cambridge University Press. This book was released on 2011-02-03 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

Not Even Wrong

Author : Peter Woit
Publisher : Basic Books
ISBN 13 : 046500363X
Total Pages : 336 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Not Even Wrong by : Peter Woit

Download or read book Not Even Wrong written by Peter Woit and published by Basic Books. This book was released on 2007-03-09 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory

Author : Roberto Fernandez
Publisher : Springer Science & Business Media
ISBN 13 : 3662028662
Total Pages : 446 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory by : Roberto Fernandez

Download or read book Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory written by Roberto Fernandez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.

Probabilistic Methods in Geometry, Topology and Spectral Theory

Author : Yaiza Canzani
Publisher : American Mathematical Soc.
ISBN 13 : 1470441454
Total Pages : 208 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Probabilistic Methods in Geometry, Topology and Spectral Theory by : Yaiza Canzani

Download or read book Probabilistic Methods in Geometry, Topology and Spectral Theory written by Yaiza Canzani and published by American Mathematical Soc.. This book was released on 2019-11-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held from August 22–26, 2016 and Probabilistic Methods in Topology, held from November 14–18, 2016 at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. Probabilistic methods have played an increasingly important role in many areas of mathematics, from the study of random groups and random simplicial complexes in topology, to the theory of random Schrödinger operators in mathematical physics. The workshop on Probabilistic Methods in Spectral Geometry and PDE brought together some of the leading researchers in quantum chaos, semi-classical theory, ergodic theory and dynamical systems, partial differential equations, probability, random matrix theory, mathematical physics, conformal field theory, and random graph theory. Its emphasis was on the use of ideas and methods from probability in different areas, such as quantum chaos (study of spectra and eigenstates of chaotic systems at high energy); geometry of random metrics and related problems in quantum gravity; solutions of partial differential equations with random initial conditions. The workshop Probabilistic Methods in Topology brought together researchers working on random simplicial complexes and geometry of spaces of triangulations (with connections to manifold learning); topological statistics, and geometric probability; theory of random groups and their properties; random knots; and other problems. This volume covers recent developments in several active research areas at the interface of Probability, Semiclassical Analysis, Mathematical Physics, Theory of Automorphic Forms and Graph Theory.

Methods of Quantum Field Theory in Statistical Physics

Author : Alekseĭ Alekseevich Abrikosov
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Methods of Quantum Field Theory in Statistical Physics by : Alekseĭ Alekseevich Abrikosov

Download or read book Methods of Quantum Field Theory in Statistical Physics written by Alekseĭ Alekseevich Abrikosov and published by . This book was released on 1963 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Methods in Quantum Mechanics

Author : Stanley P. Gudder
Publisher : Courier Corporation
ISBN 13 : 0486149188
Total Pages : 242 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Stochastic Methods in Quantum Mechanics by : Stanley P. Gudder

Download or read book Stochastic Methods in Quantum Mechanics written by Stanley P. Gudder and published by Courier Corporation. This book was released on 2014-05-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory survey of stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering also serves as a useful and comprehensive reference volume. 1979 edition.

High Energy Physics Index

Author :
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis High Energy Physics Index by :

Download or read book High Energy Physics Index written by and published by . This book was released on 1993 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cellular Automaton Interpretation of Quantum Mechanics

Author : Gerard 't Hooft
Publisher : Springer
ISBN 13 : 331941285X
Total Pages : 296 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Cellular Automaton Interpretation of Quantum Mechanics by : Gerard 't Hooft

Download or read book The Cellular Automaton Interpretation of Quantum Mechanics written by Gerard 't Hooft and published by Springer. This book was released on 2016-09-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.

Quantum Field Theory for Mathematicians

Author : Robin Ticciati
Publisher : Cambridge University Press
ISBN 13 : 052163265X
Total Pages : 720 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Quantum Field Theory for Mathematicians by : Robin Ticciati

Download or read book Quantum Field Theory for Mathematicians written by Robin Ticciati and published by Cambridge University Press. This book was released on 1999-06-13 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This should be a useful reference for anybody with an interest in quantum theory.

Quantum Fields on a Lattice

Author : Istvan Montvay
Publisher : Cambridge University Press
ISBN 13 : 9780521599177
Total Pages : 512 pages
Book Rating : 4.5/5 (991 download)

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Book Synopsis Quantum Fields on a Lattice by : Istvan Montvay

Download or read book Quantum Fields on a Lattice written by Istvan Montvay and published by Cambridge University Press. This book was released on 1994 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.

The Theoretical Minimum

Author : Leonard Susskind
Publisher : Basic Books
ISBN 13 : 0465038921
Total Pages : 165 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Theoretical Minimum by : Leonard Susskind

Download or read book The Theoretical Minimum written by Leonard Susskind and published by Basic Books. This book was released on 2014-04-22 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

Quantum Gravity and the Functional Renormalization Group

Author : Martin Reuter
Publisher : Cambridge University Press
ISBN 13 : 1107107326
Total Pages : 357 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Quantum Gravity and the Functional Renormalization Group by : Martin Reuter

Download or read book Quantum Gravity and the Functional Renormalization Group written by Martin Reuter and published by Cambridge University Press. This book was released on 2019-01-03 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

Path Integrals in Physics

Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 1482268914
Total Pages : 359 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Path Integrals in Physics by : M Chaichian

Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2018-10-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

Probabilities in Physics

Author : Claus Beisbart
Publisher : Oxford University Press
ISBN 13 : 0191618209
Total Pages : pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Probabilities in Physics by : Claus Beisbart

Download or read book Probabilities in Physics written by Claus Beisbart and published by Oxford University Press. This book was released on 2011-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Many results of modern physics—those of quantum mechanics, for instance—come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.

Constraint Theory And Quantization Methods: From Relativistic Particles To Field Theory And General Relativity

Author : Filippo Colomo
Publisher : World Scientific
ISBN 13 : 9814552275
Total Pages : 462 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Constraint Theory And Quantization Methods: From Relativistic Particles To Field Theory And General Relativity by : Filippo Colomo

Download or read book Constraint Theory And Quantization Methods: From Relativistic Particles To Field Theory And General Relativity written by Filippo Colomo and published by World Scientific. This book was released on 1994-05-27 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second workshop on constraint theory aims at reviewing the developments that have taken place in the theory of singular Lagrangians and Dirac-Bergmann Hamiltonian constraints as well as their quantization. Since this theory lies behind all special and general relativistic systems, the topics covered here naturally range from mathematical physics to relativistic system particles, strings and fields and further to general relativity. The variety of topics discussed makes this an important, interesting and informative book.