Weyl geometry, anti-De Sitter space, and $\Phi^4$-theory
Autor: | M. Socolovsky, E. J. Gonzalez de Urreta, H. A. Camargo |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
Physics
Coupling constant Scalar field theory 010308 nuclear & particles physics De Sitter space Ciencias Físicas Asymptotic safety in quantum gravity General Physics and Astronomy ANTIDESITTER CONFORMALLY FLAT METRIC Física de Partículas y Campos 01 natural sciences Renormalization MASSLESS SCALAR FIELD General Relativity and Quantum Cosmology Physics - General Physics Quantum mechanics 0103 physical sciences Functional renormalization group Anti-de Sitter space WEYL GEOMETRY 010306 general physics de Sitter invariant special relativity CIENCIAS NATURALES Y EXACTAS Mathematical physics |
Popis: | We study the Gaussian approximation to the quantum fluctuations of the metric of the four dimensional anti-De Sitter spacetime. The associated massless scalar field has a quartic self interaction, for which we construct the generating functional of the $n$-point correlation functions. The concomitant infrared divergence is cured by a mass renormalization provided by the cosmological constant, which is also responsible for the renormalization of the coupling constant of the field theory. Comment: 9 pages, 1 figure |
Databáze: | OpenAIRE |
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