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Renormalization and Effective Field Theory

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 884/5 ( reviews)

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Book Synopsis Renormalization and Effective Field Theory by : Kevin Costello

Download or read book Renormalization and Effective Field Theory written by Kevin Costello. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory has had a profound influence on mathematics, and on geometry in particular. However, the notorious difficulties of renormalization have made quantum field theory very inaccessible for mathematicians. This provides complete mathematical foundations for the theory of perturbative quantum field theory, based on Wilson's ideas of low-energy effective field theory and on the Batalin-Vilkovisky formalism.

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems

2012-06-25 Science
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Release : 2012-06-25
Genre : Science
Kind : eBook
Book Rating : 203/5 ( reviews)

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Book Synopsis Renormalization Group and Effective Field Theory Approaches to Many-Body Systems by : Achim Schwenk

Download or read book Renormalization Group and Effective Field Theory Approaches to Many-Body Systems written by Achim Schwenk. This book was released on 2012-06-25. Available in PDF, EPUB and Kindle. Book excerpt: There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.

Renormalization Group and Fixed Points

2013-03-28 Science
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Release : 2013-03-28
Genre : Science
Kind : eBook
Book Rating : 121/5 ( reviews)

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Book Synopsis Renormalization Group and Fixed Points by : Timothy J Hollowood

Download or read book Renormalization Group and Fixed Points written by Timothy J Hollowood. This book was released on 2013-03-28. Available in PDF, EPUB and Kindle. Book excerpt: This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings. The Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.

Introduction to Effective Field Theory

2020-12-10 Science
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Release : 2020-12-10
Genre : Science
Kind : eBook
Book Rating : 470/5 ( reviews)

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Book Synopsis Introduction to Effective Field Theory by : C. P. Burgess

Download or read book Introduction to Effective Field Theory written by C. P. Burgess. This book was released on 2020-12-10. Available in PDF, EPUB and Kindle. Book excerpt: This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Effective Field Theories

2015-11-18 Science
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Release : 2015-11-18
Genre : Science
Kind : eBook
Book Rating : 949/5 ( reviews)

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Book Synopsis Effective Field Theories by : Alexey A Petrov

Download or read book Effective Field Theories written by Alexey A Petrov. This book was released on 2015-11-18. Available in PDF, EPUB and Kindle. Book excerpt: This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.

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