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Renormalization of Quantum Field Theory in Curved Space‐Time and Renormalization Group Equations
Author(s) -
Buchbinder I. L.
Publication year - 1986
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19860340902
Subject(s) - asymptotic safety in quantum gravity , renormalization group , physics , functional renormalization group , renormalization , quantum gravity , mathematical physics , observable , quantum field theory , coupling constant , gravitation , group field theory , gravitational field , classical mechanics , quantum mechanics , quantum , thermal quantum field theory
The structure of quantum field theory renormalization in curved space‐time is investigated. The equations allowing us to investigate the behaviour of vacuum energy and vertex functions in the limit of small distances in the external gravitational field are established. The behaviour of effective charges corresponding to the parameters of nonminimal coupling of the matter with the gravitational field is studied and the conditions under which asymptotically free theories become asymptotically conformally invariant are found. The examples of asymptotically conformally invariant theories are given. On the basis of a direct solution of renormalization group equations the effective potential in the external gravitational field and the effective action in the gravity with the high derivatives are obtained. The expression for the cosmological constant in terms of R 2 ‐gravity Lagrangian parameters is given which does not contradict the observable data. Renormalization and renormalization group equations for the theory in curved space‐time with torsion are investigated.