Effective action of a scalar field in a curved spacetime with a small inhomogeneity

1993 ◽  
Vol 48 (8) ◽  
pp. 3914-3917 ◽  
Author(s):  
Wung-Hong Huang
Keyword(s):  
Scalar Field ◽  
Effective Action ◽  
Curved Spacetime ◽  
Small Inhomogeneity

scholarly journals Effective action for a quantum scalar field in warped spaces

2015 ◽  
Vol 75 (11) ◽  
Author(s):  
J. M. Hoff da Silva ◽  
E. L. Mendonça ◽  
E. Scatena
Keyword(s):  
Scalar Field ◽  
Effective Action

scholarly journals A NOTE ON DUALITIES IN EINSTEIN'S GRAVITY IN THE PRESENCE OF A NON-MINIMALLY COUPLED SCALAR FIELD

2003 ◽  
Vol 18 (15) ◽  
pp. 1043-1051 ◽  
Author(s):  
L. R. ABRAMO ◽  
L. BRENIG ◽  
E. GUNZIG ◽  
ALBERTO SAA
Keyword(s):  
Scalar Field ◽  
String Theory ◽  
Effective Action ◽  
Low Energy ◽  
Conformal Transformations ◽  
Spacetime Curvature

We show that the action of Einstein's gravity with a scalar field coupled in a generic way to spacetime curvature is invariant under a particular set of conformal transformations. These transformations relate dual theories for which the effective couplings of the theory are scaled uniformly. In the simplest case, this class of dualities reduces to the S-duality of low-energy effective action of string theory.

scholarly journals Schrödinger representation for a scalar field on curved spacetime

2002 ◽  
Vol 66 (8) ◽  
Author(s):  
Alejandro Corichi ◽  
Jerónimo Cortez ◽  
Hernando Quevedo
Keyword(s):  
Scalar Field ◽  
Curved Spacetime ◽  
Schrödinger Representation

scholarly journals Anatomy of one-loop effective action in non-commutative scalar field theories

2002 ◽  
Vol 22 (4) ◽  
pp. 757-770 ◽  
Author(s):  
Y. Kiem ◽  
S.-J. Rey ◽  
H.-T. Sato ◽  
J.-T. Yee
Keyword(s):  
Scalar Field ◽  
Effective Action ◽  
Field Theories

NÖTHER’S SYMMETRIES IN (n+1)-DIMENSIONAL NONMINIMALLY COUPLED COSMOLOGIES

1993 ◽  
Vol 02 (04) ◽  
pp. 463-476 ◽  
Author(s):  
SALVATORE CAPOZZIELLO ◽  
RUGGIERO DE RITIS ◽  
PAOLO SCUDELLARO
Keyword(s):  
Scalar Field ◽  
General Solution ◽  
Effective Action ◽  
The Other ◽  
Spatial Curvature ◽  
General Transformation ◽  
Systematic Analysis ◽  
Induced Gravity ◽  
Constant Of Motion ◽  
Spatial Dimensions

We perform a systematic analysis of nonminimally coupled cosmologies in (n+1)-dimensional homogeneous and isotropic spacetimes, searching for Nöther’s symmetries and generalizing the results of our previous works. We obtain (i) the absence of symmetries when the spatial curvature constant k is nonzero and n=2, 3, but their existence for all the other n; (ii) the existence of such symmetries for every number of spatial dimensions (except n=1) when k=0. In this latter case, we are able to find a general transformation through which we recover the string-dilaton effective action in (n+1) dimensions and the major peculiarity of string cosmology: the scale factor duality. Furthermore, the symmetry fixes a relation among the coupling F(ϕ), the potential V(ϕ) of the scalar field ϕ, the number of spatial dimensions and the spatial curvature constant. When this is the case, it is possible to find a constant of motion and then get the general solution of the dynamics. Finally, in the framework of the so-called Induced Gravity Theories, we are able to obtain the Newton constant at the present time (t→∞) depending on the number of spatial dimensions and directly related to the constant of motion existing in such a model.

Hawking radiation is probably a type of superradiation

2021 ◽  
Author(s):  
Wen-Xiang Chen
Keyword(s):  
Field Equation ◽  
Scalar Field ◽  
Boundary Conditions ◽  
Effective Action ◽  
Hawking Radiation ◽  
Scalar Field Equation

In this article, it mainly discusses that when the scalar field equation presets boundary conditions, the effective action form of Hawking radiation is consistent with the effective action form of superradiation. From this I conclude that Hawking radiation may be a form of superradiation.

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