Motives, Quantum Field Theory, and Pseudodifferential Operators

Motives, Quantum Field Theory, and Pseudodifferential Operators
Author :
Publisher : American Mathematical Soc.
Total Pages : 361
Release :
ISBN-10 : 9780821851999
ISBN-13 : 0821851993
Rating : 4/5 (993 Downloads)

Book Synopsis Motives, Quantum Field Theory, and Pseudodifferential Operators by : Alan L. Carey

Download or read book Motives, Quantum Field Theory, and Pseudodifferential Operators written by Alan L. Carey and published by American Mathematical Soc.. This book was released on 2010 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.

Motives, Quantum Field Theory, and Pseudodifferential Operators Related Books

Motives, Quantum Field Theory, and Pseudodifferential Operators
Language: en
Pages: 361
Authors: Alan L. Carey
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

GET EBOOK

This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 200
Computer Algebra in Quantum Field Theory
Language: en
Pages: 422
Authors: Carsten Schneider
Categories: Science
Type: BOOK - Published: 2013-10-05 - Publisher: Springer Science & Business Media

GET EBOOK

The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents
String-Math 2011
Language: en
Pages: 506
Authors: Jonathan Block
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

GET EBOOK

The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have co
Renormalization and Galois Theories
Language: en
Pages: 284
Authors: Frédéric Fauvet
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: European Mathematical Society

GET EBOOK

This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the
Anti-Differentiation and the Calculation of Feynman Amplitudes
Language: en
Pages: 551
Authors: Johannes Blümlein
Categories: Science
Type: BOOK - Published: 2021-11-26 - Publisher: Springer Nature

GET EBOOK

This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in O