Path Integrals and Anomalies in Curved Space

Path Integrals and Anomalies in Curved Space PDF

Author: Fiorenzo Bastianelli

Publisher: Cambridge University Press

Published: 2006-07-20

Total Pages: 47

ISBN-13: 1139456849

DOWNLOAD EBOOK →

This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.

Path Integrals and Anomalies in Curved Space

Path Integrals and Anomalies in Curved Space PDF

Author: Fiorenzo Bastianelli

Publisher:

Published: 2006

Total Pages: 379

ISBN-13: 9780511220784

DOWNLOAD EBOOK →

This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.

Path Integrals and Quantum Anomalies

Path Integrals and Quantum Anomalies PDF

Author: Kazuo Fujikawa

Publisher: Oxford University Press

Published: 2004-04-29

Total Pages: 297

ISBN-13: 0198529139

DOWNLOAD EBOOK →

The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of fieldtheory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicitand elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.

Path Integrals and Quantum Anomalies

Path Integrals and Quantum Anomalies PDF

Author: Kazuo Fujikawa

Publisher: Clarendon Press

Published: 2004-04-29

Total Pages: 296

ISBN-13: 9780198529132

DOWNLOAD EBOOK →

The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of fieldtheory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicitand elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.

Functional Integration

Functional Integration PDF

Author: Pierre Cartier

Publisher: Cambridge University Press

Published: 2006-11-30

Total Pages: 7

ISBN-13: 1139462881

DOWNLOAD EBOOK →

In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.

Path Integrals and Hamiltonians

Path Integrals and Hamiltonians PDF

Author: Belal E. Baaquie

Publisher: Cambridge University Press

Published: 2014-03-27

Total Pages: 437

ISBN-13: 1139867334

DOWNLOAD EBOOK →

Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and quantum finance. Eschewing use of the Schrödinger equation, the powerful and flexible combination of Hamiltonian operators and path integrals is used to study a range of different quantum and classical random systems, succinctly demonstrating the interplay between a system's path integral, state space, and Hamiltonian. With a practical emphasis on the methodological and mathematical aspects of each derivation, this is a perfect introduction to these versatile mathematical methods, suitable for researchers and graduate students in physics and engineering.

Anomalies in Quantum Field Theory

Anomalies in Quantum Field Theory PDF

Author: Reinhold A. Bertlmann

Publisher: Oxford University Press

Published: 2000-11-02

Total Pages: 590

ISBN-13: 9780198507628

DOWNLOAD EBOOK →

This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations

Hamiltonian Mechanics of Gauge Systems

Hamiltonian Mechanics of Gauge Systems PDF

Author: Lev V. Prokhorov

Publisher: Cambridge University Press

Published: 2011-09-22

Total Pages: 485

ISBN-13: 1139500902

DOWNLOAD EBOOK →

The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.

Aspects of Quantum Field Theory in Curved Spacetime

Aspects of Quantum Field Theory in Curved Spacetime PDF

Author: Stephen A. Fulling

Publisher: Cambridge University Press

Published: 1989-08-24

Total Pages: 332

ISBN-13: 9780521377683

DOWNLOAD EBOOK →

The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.

Lanterna Rally - Theme by Grace Themes