Gauge-independent effective potential for minimally coupled quantum fields in curved space

1992 ◽  
Vol 46 (10) ◽  
pp. 4413-4420 ◽  
Author(s):  
J. Balakrishnan ◽  
D. J. Toms
Keyword(s):  
Effective Potential ◽  
Quantum Fields ◽  
Curved Space

scholarly journals Effective potential of a black hole in thermal equilibrium with quantum fields

1994 ◽  
Vol 49 (10) ◽  
pp. 5257-5265 ◽  
Author(s):  
David Hochberg ◽  
Thomas W. Kephart ◽  
James W. York
Keyword(s):  
Black Hole ◽  
Effective Potential ◽  
Thermal Equilibrium ◽  
Quantum Fields

scholarly journals FRAME TRANSFORMATIONS OF GRAVITATIONAL THEORIES

2013 ◽  
Vol 28 (12) ◽  
pp. 1350042 ◽  
Author(s):  
XAVIER CALMET ◽  
TING-CHENG YANG
Keyword(s):  
Gravitational Theory ◽  
Space Time ◽  
Einstein Frame ◽  
Jordan Frame ◽  
Quantum Field ◽  
Quantum Fields ◽  
Theoretical Level ◽  
Curved Space ◽  
Inflation Model ◽  
Gravitational Theories

We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space–time. As an example, we consider gravitational theories in the Jordan frame of the type F(ϕ, R) = f(ϕ)R-V(ϕ) and perform the map to the Einstein frame. Our results can easily be extended to any gravitational theory. We consider the Higgs inflation model as an application of our results.

Cosmological perturbations and quantum fields in curved space

1988 ◽  
Vol 303 (4) ◽  
pp. 728-750 ◽  
Author(s):  
Ikuo Shirai ◽  
Sumio Wada
Keyword(s):  
Quantum Fields ◽  
Cosmological Perturbations ◽  
Curved Space

Quantum Fields in Curved Space

1982 ◽  
Author(s):  
N. D. Birrell ◽  
P. C. W. Davies
Keyword(s):  
Quantum Fields ◽  
Curved Space

The renormalization group in curved space

2021 ◽  
pp. 388-396
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Renormalization Group ◽  
Effective Potential ◽  
Effective Action ◽  
Finite Part ◽  
Minimal Subtraction ◽  
Essential Information ◽  
Curved Space ◽  
Scaling Anomaly

As the main purpose of renormalization is not to remove divergences but to get essential information about the finite part of effective action, this chapter discusses some of the existing methods of solving this problem; such methods can be denoted the renormalization group. First, the minimal subtraction renormalization group in curved space is formulated. Next, the chapter shows how the overall μ‎-independence of the effective action enables one to interpret μ‎-dependence in some situations. As an example, the effective potential is restored from the renormalization group and compared with the expression calculated directly in chapter 13. In addition, the global conformal (scaling) anomaly is derived from the renormalization group.

Sine-Gordon model in (1 + 1)-dimensional curved space: Schrödinger picture approach

1996 ◽  
Vol 74 (9-10) ◽  
pp. 626-633
Author(s):  
Anjana Sinha ◽  
Rajkumar Roychoudhury
Keyword(s):  
Effective Potential ◽  
Flat Space ◽  
Space Time ◽  
Curved Space ◽  
Curvature Term ◽  
Sine Gordon Model ◽  
Schrödinger Picture

The effective potential for the sine-Gordon model in a curved space-time, given by [Formula: see text], has been calculated using the Schrödinger picture formalism. It has been shown that when α(x) → 1 our method reproduces the flat-space results. To show the effect of the curvature term, the effective potential Veff has been calculated numerically for several values of the parameter M, where α(x) has been taken to be of the form [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document