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

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.

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VORTICES IN CURVED SPACE-TIME

Modern Physics Letters A ◽

10.1142/s0217732393002403 ◽

1993 ◽

Vol 08 (38) ◽

pp. 3665-3672 ◽

Cited By ~ 2

Author(s):

J.D. EDELSTEIN ◽

G. LOZANO ◽

F.A. SCHAPOSNIK

Keyword(s):

Scalar Curvature ◽

Gauge Field ◽

Space Time ◽

Higgs Model ◽

Curved Space ◽

Abelian Higgs Model ◽

Vortex Solutions ◽

Chern Simons ◽

Higgs Scalar

We study an Abelian Higgs model coupled to a background metric. We find Bogomol’nyi equations when the coupling is achieved through an Rɸ2 term (R being the scalar curvature and ɸ the Higgs scalar). Remarkably, these equations coincide with those arising in models where the gauge field dynamics is governed by a Chern-Simons term so that vortex solutions in our system can be related to self-dual Chern-Simons vortices.

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LORENTZ GAUGE THEORY AND SPINOR INTERACTION

International Journal of Modern Physics A ◽

10.1142/s0217751x08040238 ◽

2008 ◽

Vol 23 (08) ◽

pp. 1282-1285 ◽

Cited By ~ 4

Author(s):

NAKIA CARLEVARO ◽

ORCHIDEA MARIA LECIAN ◽

GIOVANNI MONTANI

Keyword(s):

Gauge Theory ◽

Gauge Field ◽

Lorentz Group ◽

Flat Space ◽

Stationary Solutions ◽

Space Time ◽

Pauli Equation ◽

Relativistic Limit ◽

Curved Space

A gauge theory of the Lorentz group, based on the different behavior of spinors and vectors under local transformations, is formulated in a flat space-time and the role of the torsion field within the generalization to curved space-time is briefly discussed. The spinor interaction with the new gauge field is then analyzed assuming the time gauge and stationary solutions, in the non-relativistic limit, are treated to generalize the Pauli equation.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x95000176 ◽

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.

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