Statistical Approach to Quantum Field Theory

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Release : 2021-10-25
Genre : Science
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Book Rating : 635/5 ( reviews)

Statistical Approach to Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Approach to Quantum Field Theory write by Andreas Wipf. This book was released on 2021-10-25. Statistical Approach to Quantum Field Theory available in PDF, EPUB and Kindle. 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.

Algebraic Methods in Statistical Mechanics and Quantum Field Theory

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Release : 2014-08-04
Genre : Science
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Book Rating : 719/5 ( reviews)

Algebraic Methods in Statistical Mechanics and Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Methods in Statistical Mechanics and Quantum Field Theory write by Dr. Gérard G. Emch. This book was released on 2014-08-04. Algebraic Methods in Statistical Mechanics and Quantum Field Theory available in PDF, EPUB and Kindle. This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.

Quantum Field Theory and Statistical Mechanics

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Release : 1985-01-01
Genre : Science
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Book Rating : 755/5 ( reviews)

Quantum Field Theory and Statistical Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Field Theory and Statistical Mechanics write by James Glimm. This book was released on 1985-01-01. Quantum Field Theory and Statistical Mechanics available in PDF, EPUB and Kindle. This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.

Methods of Quantum Field Theory in Statistical Physics

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Release : 1963
Genre : Low temperature research
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Methods of Quantum Field Theory in Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods of Quantum Field Theory in Statistical Physics write by Alekseĭ Alekseevich Abrikosov. This book was released on 1963. Methods of Quantum Field Theory in Statistical Physics available in PDF, EPUB and Kindle.

Statistical Field Theory

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Release : 2010
Genre : Mathematics
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Book Rating : 580/5 ( reviews)

Statistical Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Field Theory write by G. Mussardo. This book was released on 2010. Statistical Field Theory available in PDF, EPUB and Kindle. A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.