Tensorial Methods and Renormalization in Group Field Theories / / by Sylvain Carrozza
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| Autore: |
Carrozza Sylvain
|
| Titolo: |
Tensorial Methods and Renormalization in Group Field Theories / / by Sylvain Carrozza
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (236 p.) |
| Disciplina: | 530.143 |
| Soggetto topico: | Elementary particles (Physics) |
| Quantum field theory | |
| Gravitation | |
| Group theory | |
| Cosmology | |
| Mathematical physics | |
| Elementary Particles, Quantum Field Theory | |
| Classical and Quantum Gravitation, Relativity Theory | |
| Group Theory and Generalizations | |
| Mathematical Physics | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | Motivations and Scope of the Present Work -- Two Paths to Group Field Theories -- Colors and Tensor Invariance -- Large N Expansion in Topological Group Field Theories -- Renormalization of Tensorial Group Field Theories: Generalities -- Super-Renormalizable U(1) Models in Four Dimensions -- Just-Renormalizable SU(2) Model in Three Dimensions. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Tensorial Methods and Renormalization in Group Field Theories |
| ISBN: | 3-319-05867-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300370303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Theses, Recognizing Outstanding Ph.D. Research, . 2190-5053