scholarly journals 4D Quantum N-Dilaton Gravity and One-Loop Divergence of Effective Action on Constant Dilaton

1996 ◽  
Vol 96 (1) ◽  
pp. 203-213
Author(s):  
H. Takata
1997 ◽  
Vol 12 (13) ◽  
pp. 925-935 ◽  
Author(s):  
Shin'ichi Nojiri ◽  
Sergei D. Odintsov

We study the effective action in 2-D dilaton-Maxwell quantum gravity. Working with the one-loop renormalizable subset of such theories, we construct the improved effective Lagrangian which contains curvature under logarithm. This effective Lagrangian leads to new classical dilatonic gravity inspired by quantum effects. The static black holes (BH) solutions which may play the role of a remnant after the Hawking radiation for such theory are carefully investigated. The effective Lagrangian for Gross–Neveu-dilaton gravity is also constructed (in 1/N expansion).


1994 ◽  
Vol 09 (06) ◽  
pp. 933-951 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV ◽  
S. NAFTULIN

The one-loop effective action corresponding to the general model of dilaton gravity given by the Lagrangian [Formula: see text], where Z (Φ), C (Φ) and V (Φ) are arbitrary functions of the dilaton field, is found. The question of the quantum equivalence of classically equivalent dilaton gravities is studied. By specific calculation of explicit examples, it is shown that classically equivalent quantum gravities are also perturbatively equivalent at the quantum level, but only on-shell. The renormalization group equations for the generalized effective couplings Z (Φ), C (Φ) and V (Φ) are written. An analysis of the equations shows, in particular, that the gravitational sector of the Callan–Giddings–Harvey–Strominger model is not a fixed point of these equations.


2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Pankaj Chaturvedi ◽  
Ioannis Papadimitriou ◽  
Wei Song ◽  
Boyang Yu

Abstract We provide a non-conformal generalization of the Compère-Song-Strominger (CSS) boundary conditions for AdS3 gravity that breaks the $$ \hat{u}(1) $$ u ̂ 1 Kac-Moody-Virasoro symmetry to two u(1)s. The holographic dual specified by the new boundary conditions can be understood as an irrelevant deformation of a warped conformal field theory (WCFT). Upon consistent reduction to two dimensions, AdS3 gravity results in a deformed Jackiw-Teitelboim dilaton gravity model coupled to a Maxwell field. We show that near extremality the boundary conditions inherited from generalized CSS boundary conditions in three dimensions give rise to an effective action exhibiting the same symmetry breaking pattern as the complex Sachdev-Ye-Kitaev models. Besides the Schwarzian term reflecting the breaking of conformal symmetry, the effective action contains an additional term that captures the breaking of the $$ \hat{u}(1) $$ u ̂ 1 Kac-Moody symmetry.


1997 ◽  
Vol 504 (1-2) ◽  
pp. 511-531 ◽  
Author(s):  
Aleksandar Miković ◽  
Voja Radovanović

2019 ◽  
Vol 100 (8) ◽  
Author(s):  
Jan Plefka ◽  
Canxin Shi ◽  
Jan Steinhoff ◽  
Tianheng Wang

1995 ◽  
Vol 10 (28) ◽  
pp. 2071-2079 ◽  
Author(s):  
S. NAFTULIN ◽  
S.D. ODINTSOV

We discuss lowering the order of the two-dimensional scalar-tensor R2 quantum gravity, by mapping the most general version of the model to a multi-dilaton gravity, which is essentially the sigma-model coupled with the Jackiw-Teitelboim-like gravity. In the continuation of our previous research, we calculate the divergent part of the one-loop effective action in a 2-D scalar-tensor (dilatonic) gravity with the R2-term, which belongs to a specific degenerate case and cannot be obtained from the general expression. The corresponding finiteness conditions are found.


1990 ◽  
Vol 4 (6) ◽  
pp. 262
Author(s):  
P.R. Wyman

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