scholarly journals Renormalization of the one-loop effective action on an arbitrary curved space-time: A general method

1994 ◽  
Vol 50 (2) ◽  
pp. 909-916 ◽  
Author(s):  
Guido Cognola
Keyword(s):  
Effective Action ◽  
Space Time ◽  
Curved Space ◽  
The One ◽  
General Method

EFFECTIVE ACTION IN MULTI-DIMENSIONAL SUPERGRAVITIES AND INDUCED EINSTEIN GRAVITY

1988 ◽  
Vol 03 (08) ◽  
pp. 1859-1870 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
S.D. ODINTSOV
Keyword(s):  
Boundary Conditions ◽  
General Expression ◽  
Effective Action ◽  
Einstein Gravity ◽  
Space Time ◽  
Dimensional Torus ◽  
Curved Space ◽  
Dimensional Gravity ◽  
The One

In the present paper a general expression of quantum effective action for arbitrary d-dimensional supergravity on the background Rn×Td−n′ where Rn is n-dimensional curved space-time, Td is d-dimensional torus, is obtained as an expansion on the curvature and its derivatives. The mechanism of inducing Einstein gravity with zero Λ term is proposed. It is shown that the 4-dimensional gravity with the true sign of the Newton constant is induced from d=5 supergravity when antiperiodic boundary conditions are chosen for all fields of supermultiplet. The one-loop effective action is obtained for d=4, 5, 7, 10 supergravities with the accuracy of linear curvature terms. The one-loop Vilcovisky-De Witt effective action is also obtained for d=5 SG’s with the accuracy of linear curvature terms.

ONE-LOOP FINITE TEMPERATURE EFFECTIVE ACTION FOR COMPOSITE FIELDS IN CURVED SPACE

1995 ◽  
Vol 10 (03) ◽  
pp. 389-420
Author(s):  
J. BALAKRISHNAN
Keyword(s):  
Effective Action ◽  
Riemann Tensor ◽  
Space Time ◽  
Gauge Condition ◽  
Zero Temperature ◽  
De Sitter ◽  
Abelian Gauge ◽  
Curved Space ◽  
Background Space ◽  
The One

We obtain high temperature results for the one-loop effective action for composite fields in interaction with an Abelian gauge field and minimally coupled to gravity in a curved background space-time, using the Vilkovisky-DeWitt approach, by making a local expansion in the Riemann tensor and its derivatives. We also give results for the fields minimally coupled to gravity in an arbitrary curved background space-time at zero temperature, and for the case where the fields are nonminimally coupled to gravity in Euclidean de Sitter space. The results obtained are gauge-invariant and gauge-condition-independent on-shell as well as off-shell.

Effective Action of Composite Fields in Curved Space—time

2017 ◽  
pp. 217-244
Author(s):  
I. L. Buchbinder ◽  
S. D. Odintsov ◽  
I. L. Shapiro
Keyword(s):  
Effective Action ◽  
Space Time ◽  
Curved Space

THE ASYMPTOTICALLY FREE AND ASYMPTOTICALLY CONFORMALLY INVARIANT GRAND UNIFICATION THEORIES IN CURVED SPACE-TIME

1990 ◽  
Vol 05 (20) ◽  
pp. 1599-1604 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
I.L. SHAPIRO ◽  
E.G. YAGUNOV
Keyword(s):  
Renormalization Group ◽  
Gravitational Field ◽  
Gauge Group ◽  
Flat Space ◽  
Space Time ◽  
Grand Unification ◽  
Curved Space ◽  
Conformally Invariant ◽  
Renormalization Group Equations ◽  
The One

GUT’s in curved space-time is considered. The set of asymptotically free and asymptotically conformally invariant models based on the SU (N) gauge group is constructed. The general solutions of renormalization group equations are considered as the special ones. Several SU (2N) models, which are finite in flat space-time (on the one-loop level) and asymptotically conformally invariant in external gravitational field are also presented.

One-loop effective action for the gauge field in curved space-time

1998 ◽  
Vol 117 (1) ◽  
pp. 1208-1213 ◽  
Author(s):  
V. Ch. Zhukovskii ◽  
I. V. Mamsurov
Keyword(s):  
Gauge Field ◽  
Effective Action ◽  
Space Time ◽  
Curved Space

CASIMIR EFFECT IN MULTIDIMENSIONAL QUANTUM SUPER-GRAVITIES AND SUPERSYMMETRY BREAKING

1988 ◽  
Vol 03 (14) ◽  
pp. 1391-1399 ◽  
Author(s):  
S.D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Casimir Effect ◽  
Gravitational Energy ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Dimensional Torus ◽  
Curved Space ◽  
Temperature Phase Transition ◽  
The One ◽  
Kaluza Klein

The one-loop effective action (the Casimir gravitational energy) of the aribitrary Einstein supergravity on the background [Formula: see text], where [Formula: see text] is the Minkowski space with non-zero temperature, Td is the d-dimensional torus, is calculated. The problem of quantum breaking of supersymmetry is discussed. The Vilkovisky-De Witt effective action in the D-dimensional Einstein gravity with the Λ-term on the background [Formula: see text] is found. An idea is expressed that a temperature phase transition in Kaluza-Klein theories is possible. For d=5 gravity, the Vilkovisky-De Witt effective action on the [Formula: see text], where [Formula: see text] is four-dimensional curved space-time with non-zero temperature, is found.

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