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.

THE VILKOVISKY EFFECTIVE ACTION IN THE EVEN-DIMENSIONAL QUANTUM GRAVITY

1989 ◽  
Vol 04 (07) ◽  
pp. 633-644 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
E. N. KIRILLOVA ◽  
S. D. ODINTSOV
Keyword(s):  
Numerical Calculation ◽  
Effective Potential ◽  
Effective Action ◽  
Equations Of Motion ◽  
Flat Space ◽  
Einstein Gravity ◽  
Quantum Field ◽  
Dimensional Torus ◽  
Spontaneous Compactification ◽  
The One

The one-loop Vilkovisky effective potential which is not dependent on a gauge and a parametrization of quantum field, is investigated. We have considered Einstein gravity on a background manifold of (flat space) × (d−4- sphere) or × (d−4- dimensional torus ), d is even, and of R3 × (1- sphere ), where R3 is flat space. The numerical calculation for the cases R4 × Td−4 (d = 6,8,10) and R3 × S1 is done. The solution to the one-loop corrected equations of motion is found, although the spontaneous compactification is not stable in these cases.

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.

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.

SPONTANEOUS SUPERSYMMETRY BREAKING AND EFFECTIVE ACTION IN SUPERSYMMETRICAL KALUZA-KLEIN THEORIES AND STRINGS

1989 ◽  
Vol 04 (17) ◽  
pp. 4337-4351 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
S. D. ODINTSOV
Keyword(s):  
Minkowski Space ◽  
Supersymmetry Breaking ◽  
Effective Action ◽  
Vacuum Energy ◽  
Nonzero Temperature ◽  
Dimensional Torus ◽  
Spontaneous Compactification ◽  
Curved Space ◽  
The One ◽  
Kaluza Klein

The one-loop effective action (EA) for arbitrary supersymmetric theory with broken supersymmetry on the background Rb × Td−n, where Rn, Td are n-dimensional curved space-time and d-dimensional torus, is obtained. Vilcovisky-De Witt EA in d = 5 (super)gravity on the background R4 × T1 at nonzero temperature is calculated with accuracy to linear curvature terms. Vacuum energy for open and closed superstrings with broken supersymmetry on the background M4 × T6, where M4 is Minkowski space, is also obtained. The question of the possibility of spontaneous compactification in models under consideration is analyzed.

scholarly journals EDGE CURRENTS AND VERTEX OPERATORS FOR CHERN-SIMONS GRAVITY

1993 ◽  
Vol 08 (04) ◽  
pp. 653-682 ◽  
Author(s):  
G. BIMONTE ◽  
K.S. GUPTA ◽  
A. STERN
Keyword(s):  
Boundary Conditions ◽  
Vertex Operator ◽  
Vacuum State ◽  
Space Time ◽  
Moody Algebra ◽  
Functional Integrals ◽  
Gravitational Fields ◽  
Dimensional Gravity ◽  
Discrete Mass ◽  
Chern Simons

We apply elementary canonical methods for the quantization of 2+1 dimensional gravity, where the dynamics is given by E. Witten’s ISO(2, 1) Chern-Simons action. As in a previous work, our approach does not involve choice of gauge or clever manipulations of functional integrals. Instead, we just require the Gauss law constraint for gravity to be first class and also to be everywhere differentiable. When the spatial slice is a disc, the gravitational fields can either be unconstrained or constrained at the boundary of the disc. The unconstrained fields correspond to edge currents which carry a representation of the ISO(2, 1) Kac-Moody algebra. Unitary representations for such an algebra have been found using the method of induced representations. In the case of constrained fields, we can classify all possible boundary conditions. For several different boundary conditions, the field content of the theory reduces precisely to that of 1+1 dimensional gravity theories. We extend the above formalism to include sources. The sources take into account self-interactions. This is done by punching holes in the disc, and erecting an ISO(2, 1) Kac–Moody algebra on the boundary of each hole. If the hole is originally sourceless, a source can be created via the action of a vertex operator V. We give an explicit expression for V. We shall show that when acting on the vacuum state, it creates particles with a discrete mass spectrum. The lowest mass particle induces a cylindrical space-time geometry, while higher mass particles give an n fold covering of the cylinder. The vertex operator therefore creates cylindrical space-time geometries from the vacuum.

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.

Sign in / Sign up

Export Citation Format

Share Document