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Selected Topics On The General Properties Of Quantum Field Theory
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Book Synopsis Selected Topics on the General Properties of Quantum Field Theory by : F. Strocchi
Download or read book Selected Topics on the General Properties of Quantum Field Theory written by F. Strocchi and published by World Scientific. This book was released on 1993 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a readable account of the foundations of QFT, in particular of the Euclidean formulation with emphasis on the interplay between physical requirements and mathematical structures. The general structures underlying the conventional local (renormalizable) formulation of gauge QFT are discussed also on the basis of simple models. The mechanism of confinement, non-trivial topology and ?-vacua, chiral symmetry breaking and solution of the U(1) problem are clarified through a careful analysis of the Schwinger model, which settles unclear or debated points.
Book Synopsis Selected Topics on the General Properties of Quantum Field Theory by : F. Strocchi
Download or read book Selected Topics on the General Properties of Quantum Field Theory written by F. Strocchi and published by World Scientific. This book was released on 1993 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a readable account of the foundations of QFT, in particular of the Euclidean formulation with emphasis on the interplay between physical requirements and mathematical structures. The general structures underlying the conventional local (renormalizable) formulation of gauge QFT are discussed also on the basis of simple models. The mechanism of confinement, non-trivial topology and ?-vacua, chiral symmetry breaking and solution of the U(1) problem are clarified through a careful analysis of the Schwinger model, which settles unclear or debated points.
Book Synopsis General Properties of Quantum Field Theory by : F. Strocchi
Download or read book General Properties of Quantum Field Theory written by F. Strocchi and published by . This book was released on 1993 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Topics In Quantum Field Theory And Mathematical Physics by : J Fischer
Download or read book Selected Topics In Quantum Field Theory And Mathematical Physics written by J Fischer and published by World Scientific. This book was released on 1990-05-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Mechanics, Quantum Field Theory by : R. Mirman
Download or read book Quantum Mechanics, Quantum Field Theory written by R. Mirman and published by iUniverse. This book was released on 2004-12 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author does not want a book description on the back cover.
Book Synopsis A Prelude to Quantum Field Theory by : John Donoghue
Download or read book A Prelude to Quantum Field Theory written by John Donoghue and published by Princeton University Press. This book was released on 2022-02-22 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, beginner-friendly introduction to quantum field theory Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications. Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences Emphasizes a “quantum field theoretical mindset” while maintaining mathematical rigor Obtains quantum fields as the continuum limit of a quantized system of many particles Highlights the correspondence between wave function—fundamental in quantum mechanics—and the formalism of second quantization used in quantum field theory Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories Introduces students to renormalization, path integrals techniques, and more Discusses more modern topics like effective field theories Ideal for both undergraduate and graduate students Proven in the classroom
Book Synopsis An Introduction to Non-Perturbative Foundations of Quantum Field Theory by : Franco Strocchi
Download or read book An Introduction to Non-Perturbative Foundations of Quantum Field Theory written by Franco Strocchi and published by Oxford University Press, USA. This book was released on 2013-02-14 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.
Book Synopsis Symmetry Breaking by : Franco Strocchi
Download or read book Symmetry Breaking written by Franco Strocchi and published by Springer Science & Business Media. This book was released on 2005-02-21 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intriguing mechanism of spontaneous symmetry breaking is a powerful innovative idea at the basis of most of the recent developments in theoretical physics, from statistical mechanics to many-body theory to elementary particles theory; for infinitely extended systems a symmetric Hamiltonian can account for non symmetric behaviours, giving rise to non symmetric realizations of a physical system. In the first part of this book, devoted to classical field theory, such a mechanism is explained in terms of the occurrence of disjoint sectors and their stability properties and of an improved version of the Noether theorem. For infinitely extended quantum systems, discussed in the second part, the mechanism is related to the occurrence of disjoint pure phases and characterized by a symmetry breaking order parameter, for which non perturbative criteria are discussed, following Wightman, and contrasted with the standard Goldstone perturbative strategy. The Goldstone theorem is discussed with a critical look at the hypotheses that emphasizes the crucial role of the dynamical delocalization induced by the interaction range. The Higgs mechanism in local gauges is explained in terms of the Gauss law constraint on the physical states. The mathematical details are kept to the minimum required to make the book accessible to students with basic knowledge of Hilbert space structures. Much of the material has not appeared in other textbooks.
Book Synopsis Quantum Field Theory and Beyond by : Erhard Seiler
Download or read book Quantum Field Theory and Beyond written by Erhard Seiler and published by World Scientific. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of essays written in honor of Wolfhart Zimmermann''s 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examples on how a subject has evolved, diversified and deepened over the course of several decades and how a single person can influence this process can find here a perfect illustration. Altogether, readers are treated to a high-brow intellectual adventure.
Book Synopsis Introduction to Algebraic and Constructive Quantum Field Theory by : John C. Baez
Download or read book Introduction to Algebraic and Constructive Quantum Field Theory written by John C. Baez and published by Princeton University Press. This book was released on 2014-07-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author :Anne Boutet de Monvel Publisher :Springer Science & Business Media ISBN 13 :3764374349 Total Pages :323 pages Book Rating :4.7/5 (643 download)
Book Synopsis Rigorous Quantum Field Theory by : Anne Boutet de Monvel
Download or read book Rigorous Quantum Field Theory written by Anne Boutet de Monvel and published by Springer Science & Business Media. This book was released on 2006-12-15 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous contributions; this book arose from an international symposium held in honour of Bros on the occasion of his 70th birthday. Key topics in this volume include: Analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime.
Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov
Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.
Book Synopsis Symmetry Breaking by : Franco Strocchi
Download or read book Symmetry Breaking written by Franco Strocchi and published by Springer Nature. This book was released on 2021-01-27 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of the by now classic reference on rigorous analysis of symmetry breaking in both classical and quantum field theories adds new topics of relevance, in particular the effect of dynamical Coulomb delocalization, by which boundary conditions give rise to volume effects and to energy/mass gap in the Goldstone spectrum (plasmon spectrum, Anderson superconductivity, Higgs phenomenon). The book closes with a discussion of the physical meaning of global and local gauge symmetries and their breaking, with attention to the effect of gauge group topology in QCD. From the reviews of the first edition: It is remarkable to see how much material can actually be presented in a rigorous way (incidentally, many of the results presented are due to Strocchi himself), yet this is largely ignored, the original heuristic derivations being, as a rule, more popular. - At each step he strongly emphasizes the physical meaning and motivation of the various notions introduced [...] a book that fills a conspicuous gap in the literature, and does it rather well. It could also be a good basis for a graduate course in mathematical physics. J.-P. Antoine, Physicalia 28/2, 2006 Despite many accounts in popular textbooks and a widespread belief, the phenomenon is rather subtle, requires an infinite set of degrees of freedom and an advanced mathematical setting of the system under investigation. [...] The mathematically oriented graduate student will certainly benefit from this thorough, rigorous and detailed investigation. G. Roepstorff, Zentralblatt MATH, Vol. 1075, 2006 From the reviews of the second edition: This second edition of Strocchi’s Symmetry Breaking presents a complete, generalized and highly rigorous discussion of the subject, based on a formal analysis of conditions necessary for the mechanism of spontaneous symmetry breaking to occur in classical systems, as well as in quantum systems. [...] This book is specifically recommended for mathematical physicists interested in a deeper and rigorous understanding of the subject, and it should be mandatory for researchers studying the mechanism of spontaneous symmetry breaking. S. Hajjawi, Mathematical Reviews, 2008
Book Synopsis An Introduction to the Mathematical Structure of Quantum Mechanics by : F. Strocchi
Download or read book An Introduction to the Mathematical Structure of Quantum Mechanics written by F. Strocchi and published by World Scientific. This book was released on 2008 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables.
Book Synopsis Selected Topics in the Quantum Field Theory by : Shau-jin Chang
Download or read book Selected Topics in the Quantum Field Theory written by Shau-jin Chang and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Gauge Invariance and Weyl-polymer Quantization by : Franco Strocchi
Download or read book Gauge Invariance and Weyl-polymer Quantization written by Franco Strocchi and published by Springer. This book was released on 2015-11-12 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives an introduction to Weyl non-regular quantization suitable for the description of physically interesting quantum systems, where the traditional Dirac-Heisenberg quantization is not applicable. The latter implicitly assumes that the canonical variables describe observables, entailing necessarily the regularity of their exponentials (Weyl operators). However, in physically interesting cases -- typically in the presence of a gauge symmetry -- non-observable canonical variables are introduced for the description of the states, namely of the relevant representations of the observable algebra. In general, a gauge invariant ground state defines a non-regular representation of the gauge dependent Weyl operators, providing a mathematically consistent treatment of familiar quantum systems -- such as the electron in a periodic potential (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle -- where the gauge transformations are, respectively, the lattice translations, the magnetic translations and the rotations of 2π. Relevant examples are also provided by quantum gauge field theory models, in particular by the temporal gauge of Quantum Electrodynamics, avoiding the conflict between the Gauss law constraint and the Dirac-Heisenberg canonical quantization. The same applies to Quantum Chromodynamics, where the non-regular quantization of the temporal gauge provides a simple solution of the U(1) problem and a simple link between the vacuum structure and the topology of the gauge group. Last but not least, Weyl non-regular quantization is briefly discussed from the perspective of the so-called polymer representations proposed for Loop Quantum Gravity in connection with diffeomorphism invariant vacuum states.
Book Synopsis Nonperturbative Quantum Field Theory and the Structure of Matter by : T. Borne
Download or read book Nonperturbative Quantum Field Theory and the Structure of Matter written by T. Borne and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works. The first part contains a new nonperturbative regularization and probability interpretation, as well as a new treatment of effective dynamics for quantum fields based on algebraic representation theory in functional spaces. In the second part these methods are applied to selected topics in high energy physics. In a generalization of de Broglie's fusion theory, gauge bosons and fermions are considered as composites and the basic dynamics of the electro-weak sector of the standard model is derived as an effective theory from a regularized spinor fields model. Linear gravity is discussed in the same way. Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be of interest to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed matter physics, and relativity.
