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Functional And Probabilistic Methods In Quantum Field Theory
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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.
Book Synopsis Functional and Probabilistic Methods in Quantum Field Theory by :
Download or read book Functional and Probabilistic Methods in Quantum Field Theory written by and published by . This book was released on 1976 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Integration and Quantum Physics by : Barry Simon
Download or read book Functional Integration and Quantum Physics written by Barry Simon and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
Book Synopsis Quantum Field Theory and the Standard Model by : Matthew D. Schwartz
Download or read book Quantum Field Theory and the Standard Model written by Matthew D. Schwartz and published by Cambridge University Press. This book was released on 2014 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Book Synopsis The Quantum Theory of Fields: Volume 2, Modern Applications by : Steven Weinberg
Download or read book The Quantum Theory of Fields: Volume 2, Modern Applications written by Steven Weinberg and published by Cambridge University Press. This book was released on 1996-08-13 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quantum Theory of Fields, first published in 1996, is a self-contained, comprehensive introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume II gives an account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Many topics are included that are not usually found in books on quantum field theory. The book is peppered with examples and insights from the author's experience as a leader of elementary particle physics. Exercises are included at the end of each chapter.
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.
Book Synopsis The Global Approach to Quantum Field Theory by : Bryce Seligman DeWitt
Download or read book The Global Approach to Quantum Field Theory written by Bryce Seligman DeWitt and published by Oxford University Press, USA. This book was released on 2003 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new volume takes a complete look at how classical field theory, quantum mechanics and quantum field theory are interrelated. It takes a global approach and discusses the importance of quantization by relating it to different theories such as tree amplitude and conservation laws. There arespecial chapters devoted to Euclideanization and renormalization, space and time inversion and the closed-time-path formalism.
Book Synopsis Quantum Fields — Algebras, Processes by : L. Streit
Download or read book Quantum Fields — Algebras, Processes written by L. Streit and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are we living in a golden age? It is now more than half a century that Einstein and Heisenberg have given us the theories of relativity and of quantum mechanics, but the great challenge of 20th century science remains unre solved: to assemble these building blocks into a fundamental theory of matter. And yet, for anyone watching the interplay of mathematics and theoretical physics to-day, developing symbiotically through the stimulus of a lively, even essential interdisciplinary dia logue, this is a time of fascination and great satisfaction. It is also a time of gratitude to those who had the courage to in sist that "a rudimentary knowledge of the Latin and Greek alpha bets" was not enough, and tore down the barriers between the disciplines. On the basis of this groundwork there is now so much progress, and, notably, such strengthening of the dia].ogue with phenomenology that - reaching out for The Great Break through - this may indeed turn out to be the golden age.
Book Synopsis Quantum Field Theory And Its Macroscopic Manifestations: Boson Condensation, Ordered Patterns And Topological Defects by : Massimo Blasone
Download or read book Quantum Field Theory And Its Macroscopic Manifestations: Boson Condensation, Ordered Patterns And Topological Defects written by Massimo Blasone and published by World Scientific. This book was released on 2011-02-21 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals. Even large scale structures in the Universe and ordering in biological systems appear to be the manifestation of microscopic dynamics ruling their elementary components. The scope of this book is to answer questions such as: how it happens that the mesoscopic/macroscopic scale and stability characterizing those systems are dynamically generated out of the microscopic scale of fluctuating quantum components; how quantum particles coexist and interact with classically behaving macroscopic objects, e.g. vortices, magnetic domains and other topological defects. The quantum origin of topological defects and their interaction with quanta is a crucial issue for the understanding of symmetry breaking phase transitions and structure formation in a wide range of systems from condensed matter to cosmology. Deliberately not discussing other important problems, primarily renormalization problems, this book provides answers to such questions in a unitary, self-consistent physical and mathematical framework, which makes it unique in the panorama of existing texts on a similar subject. Crystals, ferromagnets and superconductors appear to be macroscopic quantum systems, i.e. their macroscopic properties cannot be explained without recourse to the underlying quantum dynamics. Recognizing that quantum field dynamics is not confined to the microscopic world is one of the achievements of this book, also marking its difference from other texts. The combined use of algebraic methods, and operator and functional formalism constitutes another distinctive, valuable feature./a
Download or read book Energy Research Abstracts written by and published by . This book was released on 1990 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Quantum Theory of Fields by : Steven Weinberg
Download or read book The Quantum Theory of Fields written by Steven Weinberg and published by Cambridge University Press. This book was released on 1995 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to quantum field theory by Nobel Laureate Steven Weinberg, first published in 1996.
Book Synopsis A Global Approximation Interpretation of Quantum Mechanics by : Lei Yian
Download or read book A Global Approximation Interpretation of Quantum Mechanics written by Lei Yian and published by Cambridge Scholars Publishing. This book was released on 2022-09-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will serve to end the longstanding confusion and debate on quantum mechanics. Using the picture of elementary particles and interactions provided by the Standard Model, it starts by analyzing the physical meaning of the Schrödinger equation, discovers the physical assumptions and consequences implied by quantum theory, and naturally and intuitively explains quantum entanglement and other confusing quantum concepts such as wave-particle duality and quantum eraser experiments. The book shows that the objectivity of reality is not a simple yes-or-no question.
Book Synopsis New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976 by : M. Levy
Download or read book New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976 written by M. Levy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1976 Cargese Summer Institute was devoted to the study of certain exciting developments in quantum field theory and critical phenomena. Its genesis occurred in 1974 as an outgrowth of many scientific discussions amongst the undersigned, who decided to form a scientific committee for the organization of the school. On the one hand, various workers in quantum field theory were continuing to make startling progress in different directions. On the other hand, many new problems were arising from these various domains. Thus we feIt that 1976 might be an appropriate occasion both to review recent developments and to encourage interactions between researchers from different backgrounds working on a common set of unsolved problems. An important aspect of the school, as it took place, was the participation of and stimulating interaction between such a broad spectrum of theorists. The central topics of the school were chosen from the areas of solitons, phase transitions, critical behavior, the renormalization group, gauge fields and the analysis of nonrenormalizable field theories. A noteworthy feature of these topics is the interpene tration of ideas from quantum field theory and statistical mechanics whose inherent unity is seen in the functional integral formulation of quantum field theory. The actual lectures were partly in the form of tutorials designed to familiarize the participants with re cent progress on the main topics of the school. Others were in the form of more specialized seminars reporting on recent research.
Book Synopsis Bayesian Field Theory by : Jörg C. Lemm
Download or read book Bayesian Field Theory written by Jörg C. Lemm and published by JHU Press. This book was released on 2003-07-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ask a traditional mathematician the likely outcome of a coin-toss, and he will reply that no evidence exists on which to base such a prediction. Ask a Bayesian, and he will examine the coin, conclude that it was probably not tampered with, and predict five hundred heads in a thousand tosses; a subsequent experiment would then be used to refine this prediction. The Bayesian approach, in other words, permits the use of prior knowledge when testing a hypothesis. Long the province of mathematicians and statisticians, Bayesian methods are applied in this ground-breaking book to problems in cutting-edge physics. Joerg Lemm offers practical examples of Bayesian analysis for the physicist working in such areas as neural networks, artificial intelligence, and inverse problems in quantum theory. The book also includes nonparametric density estimation problems, including, as special cases, nonparametric regression and pattern recognition. Thought-provoking and sure to be controversial, Bayesian Field Theory will be of interest to physicists as well as to other specialists in the rapidly growing number of fields that make use of Bayesian methods.
Book Synopsis Reviews in Functional Analysis, 1980-86 by :
Download or read book Reviews in Functional Analysis, 1980-86 written by and published by . This book was released on 1989 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Problems of Statistical Mechanics and Dyanamics by : R.L. Dobrushin
Download or read book Mathematical Problems of Statistical Mechanics and Dyanamics written by R.L. Dobrushin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completely integrable systems', 'chaos, synergetics and large-scale order', which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Book Synopsis Mathematical Theory of Feynman Path Integrals by : Sergio Albeverio
Download or read book Mathematical Theory of Feynman Path Integrals written by Sergio Albeverio and published by Springer. This book was released on 2008-05-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
