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Gauge‐Invariant and Gauge‐Fixing Independent Effective Action in One‐Loop Quantum Gravity
Author(s) -
Odintsov S. D.,
Shevchenko I. N.
Publication year - 1993
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190410803
Subject(s) - physics , mathematical physics , quantum gravity , effective action , f(r) gravity , gravitation , introduction to gauge theory , gauge fixing , gauge theory , asymptotic safety in quantum gravity , euclidean quantum gravity , quantum mechanics , theoretical physics , loop quantum gravity , quantum , gauge boson
The one‐parameter dependent family of the gauge invariant and gauge fixing independent effective actions is considered in one‐loop approximation. The one‐loop unique effective action (chosing as the representative of this family) in d = 4 Einstein quantum gravity with scalar field and Brans‐Dicke quantum theory in flat space, in d = 4 Einstein gravity on De Sitter background, in higher derivative gravity on d ‐dimensional torus compactified background is calculated. The configuration‐space metric dependence of the unique effective action in these calculations is investigated. The appearing problems (the configuration‐space metric dependence of the physical quantities like induced gravitational constant) are discussed.