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Tensorial Methods and Renormalization in Group Field Theories
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- an...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-05867-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220116015757.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140412s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319058672 |9 978-3-319-05867-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-05867-2 |2 doi | |
| 050 | 4 | |a QC793-793.5 | |
| 050 | 4 | |a QC174.45-174.52 | |
| 072 | 7 | |a PHP |2 bicssc | |
| 072 | 7 | |a SCI051000 |2 bisacsh | |
| 072 | 7 | |a PHP |2 thema | |
| 082 | 0 | 4 | |a 530.14 |2 23 |
| 100 | 1 | |a Carrozza, Sylvain. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Tensorial Methods and Renormalization in Group Field Theories |h [electronic resource] / |c by Sylvain Carrozza. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XV, 226 p. 51 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Elementary particles (Physics). | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 0 | |a Gravitation. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Cosmology. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Elementary Particles, Quantum Field Theory. |
| 650 | 2 | 4 | |a Classical and Quantum Gravity. |
| 650 | 2 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Cosmology. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319058689 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319058665 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319358871 |
| 830 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-05867-2 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||