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Tensorial Methods and Renormalization in Group Field Theories


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Produktinformationen
cover
cover
Artikel-Nr.:
     5667A-9783319058665
Hersteller:
     Springer Verlag
Herst.-Nr.:
     9783319058665
EAN/GTIN:
     9783319058665
Suchbegriffe:
Physik- und Astronomiebücher - engl...
Physik-, Astronomiebücher
Physik-Bücher
physik bücher
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.
Weitere Informationen:
Author:
Sylvain Carrozza
Verlag:
Springer International Publishing
Sprache:
eng
Weitere Suchbegriffe: Colored GFT; Group Field Theory; Large Cutoff Behavior; Lattice gauge theory; Loop Quantum Gravity; Quantum gravity; Renormalization Group Transformations; Spin Foam; Tensorial GFT, Colored GFT, Group Field Theory, Large Cutoff Behavior, Lattice Gauge Theory, Loop Quantum Gravity, Quantum Gravity, Renormalization Group Transformations, Spin Foam, Tensorial GFT
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