Functional Methods in Quantum Field Theory and Statistical Physics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Functional Methods in Quantum Field Theory and Statistical Physics PDF full book. Access full book title Functional Methods in Quantum Field Theory and Statistical Physics by A.N. Vasiliev. Download full books in PDF and EPUB format.
Author: A.N. Vasiliev
Publisher: CRC Press
ISBN: 9789056990350
Category : Science
Languages : en
Pages : 336
Get Book Here
Book Description
Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quantum statistics at finite temperature, and the classical statistics of nonideal gas and spin systems. The extended chapter on variational methods and functional Legendre transformations contains completely original material.
Author: A.N. Vasiliev
Publisher: CRC Press
ISBN: 9789056990350
Category : Science
Languages : en
Pages : 336
Get Book Here
Book Description
Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quantum statistics at finite temperature, and the classical statistics of nonideal gas and spin systems. The extended chapter on variational methods and functional Legendre transformations contains completely original material.
Author: V.N. Popov
Publisher: Springer Science & Business Media
ISBN: 9781402003073
Category : Science
Languages : en
Pages : 316
Get Book Here
Book Description
Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.
Author: Alekseĭ Alekseevich Abrikosov
Publisher:
ISBN:
Category : Low temperature research
Languages : en
Pages : 376
Get Book Here
Book Description
Author: A.N. Vasiliev
Publisher: Routledge
ISBN: 1351446800
Category : Science
Languages : en
Pages : 336
Get Book Here
Book Description
Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quant
Author: Andreas Wipf
Publisher: Springer Nature
ISBN: 3030832635
Category : Science
Languages : en
Pages : 568
Get Book Here
Book Description
This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Author: R. J. Rivers
Publisher: Cambridge University Press
ISBN: 9780521368704
Category : Science
Languages : en
Pages : 356
Get Book Here
Book Description
The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.
Author: Norman J. M. Horing
Publisher: Oxford University Press
ISBN: 0198791941
Category : Science
Languages : en
Pages : 453
Get Book Here
Book Description
The methods of coupled quantum field theory, which have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics, are at the core of this book.
Author: Leo P. Kadanoff
Publisher:
ISBN:
Category :
Languages : en
Pages : 203
Get Book Here
Book Description
Author: Charles Nash
Publisher: Courier Corporation
ISBN: 0486477525
Category : Science
Languages : en
Pages : 240
Get Book Here
Book Description
"This graduate-level text contains statistical and quantitative techniques for performing calculations in quantum field theory. Topics include renormalization, functional differentiation and integration, and the Schwinger-Dyson equations; dimensional regularization; the gauge and infrared properties of quantum electrodynamics; and asymptotic behavior and renormalization group methods. Reference features include an appendix, bibliography, and index. 1978 edition"--
Author: Bohdan I Lev
Publisher: World Scientific
ISBN: 9811229996
Category : Science
Languages : en
Pages : 352
Get Book Here
Book Description
This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).
