Tensorial Methods and Renormalization in Group Field Theories

Nonfiction, Science & Nature, Science, Physics, Gravity, Nuclear Physics
Cover of the book Tensorial Methods and Renormalization in Group Field Theories by Sylvain Carrozza, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sylvain Carrozza ISBN: 9783319058672
Publisher: Springer International Publishing Publication: April 12, 2014
Imprint: Springer Language: English
Author: Sylvain Carrozza
ISBN: 9783319058672
Publisher: Springer International Publishing
Publication: April 12, 2014
Imprint: Springer
Language: English

The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity.

More books from Springer International Publishing

Cover of the book Biometric Recognition by Sylvain Carrozza
Cover of the book Advances in Knowledge Discovery and Data Mining by Sylvain Carrozza
Cover of the book Acquired Neuromuscular Disorders by Sylvain Carrozza
Cover of the book Media, Diaspora and the Somali Conflict by Sylvain Carrozza
Cover of the book Minimally Invasive Spine Surgery Techniques by Sylvain Carrozza
Cover of the book Understanding Children in Foster Care by Sylvain Carrozza
Cover of the book Proceedings of the Mediterranean Conference on Information & Communication Technologies 2015 by Sylvain Carrozza
Cover of the book Cloud Computing by Sylvain Carrozza
Cover of the book Recreational Drug Consumption by Sylvain Carrozza
Cover of the book Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems by Sylvain Carrozza
Cover of the book China Ethnic Statistical Yearbook 2016 by Sylvain Carrozza
Cover of the book Excel 2016 for Environmental Sciences Statistics by Sylvain Carrozza
Cover of the book Sepsis by Sylvain Carrozza
Cover of the book Trends and Challenges in Science and Higher Education by Sylvain Carrozza
Cover of the book Distributed and Sequential Algorithms for Bioinformatics by Sylvain Carrozza
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy