Tensorial Methods and Renormalization in Group Field Theories

Released on by Sylvain Carrozza
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  • Tensorial Methods and Renormalization in Group Field Theories Book Detail

  • Author : Sylvain Carrozza
  • Release Date : 2014-04-12
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 236
  • ISBN 13 : 3319058673
  • File Size : 20,20 MB
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Tensorial Methods and Renormalization in Group Field Theories by Sylvain Carrozza PDF Summary

Book Description: 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.

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