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Advances in Algebraic Quantum Field Theory

2015-09-04 Science
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Release : 2015-09-04
Genre : Science
Kind : eBook
Book Rating : 539/5 ( reviews)

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Book Synopsis Advances in Algebraic Quantum Field Theory by : Romeo Brunetti

Download or read book Advances in Algebraic Quantum Field Theory written by Romeo Brunetti. This book was released on 2015-09-04. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Advances in Algebraic Quantum Field Theory

2015
Download Advances in Algebraic Quantum Field Theory PDF Online Free

Author :
Release : 2015
Genre :
Kind : eBook
Book Rating : 545/5 ( reviews)

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Book Synopsis Advances in Algebraic Quantum Field Theory by : Romeo Brunetti

Download or read book Advances in Algebraic Quantum Field Theory written by Romeo Brunetti. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Introduction to Algebraic Quantum Field Theory

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 793/5 ( reviews)

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Book Synopsis Introduction to Algebraic Quantum Field Theory by : S.S. Horuzhy

Download or read book Introduction to Algebraic Quantum Field Theory written by S.S. Horuzhy. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shel.f next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Perturbative Algebraic Quantum Field Theory

2016-03-16 Science
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Release : 2016-03-16
Genre : Science
Kind : eBook
Book Rating : 016/5 ( reviews)

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Book Synopsis Perturbative Algebraic Quantum Field Theory by : Kasia Rejzner

Download or read book Perturbative Algebraic Quantum Field Theory written by Kasia Rejzner. This book was released on 2016-03-16. Available in PDF, EPUB and Kindle. Book excerpt: Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.

Computer Algebra in Quantum Field Theory

2013-10-05 Science
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Release : 2013-10-05
Genre : Science
Kind : eBook
Book Rating : 163/5 ( reviews)

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Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider

Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider. This book was released on 2013-10-05. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

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