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03124nam a22005535i 4500 |
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978-3-319-05867-2 |
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DE-He213 |
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20151204160337.0 |
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|a 9783319058672
|9 978-3-319-05867-2
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|a 10.1007/978-3-319-05867-2
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|a Carrozza, Sylvain.
|e author.
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|a Tensorial Methods and Renormalization in Group Field Theories
|h [electronic resource] /
|c by Sylvain Carrozza.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2014.
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|a XV, 226 p. 51 illus.
|b online resource.
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|a text
|b txt
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|a computer
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|a text file
|b PDF
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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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|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.
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|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.
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|a Physics.
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|a Group theory.
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| 650 |
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|a Mathematical physics.
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| 650 |
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|a Gravitation.
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| 650 |
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|a Cosmology.
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| 650 |
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|a Elementary particles (Physics).
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| 650 |
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|a Quantum field theory.
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|a Physics.
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|a Elementary Particles, Quantum Field Theory.
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| 650 |
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|a Classical and Quantum Gravitation, Relativity Theory.
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| 650 |
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|a Group Theory and Generalizations.
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|a Cosmology.
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|a Mathematical Physics.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783319058665
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| 830 |
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|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
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|u http://dx.doi.org/10.1007/978-3-319-05867-2
|z Full Text via HEAL-Link
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|a ZDB-2-PHA
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|a Physics and Astronomy (Springer-11651)
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