High Temperature Expansion of the Free Energy of a Massive Scalar Field in a Curved Space - INSPIRE

DataBETA

High Temperature Expansion of the Free Energy of a Massive Scalar Field in a Curved Space

J.S. Dowker
(
- Manchester U.
)
,
John P. Schofield
(
- Manchester U.
)

Jul, 1988

9 pages

Published in:

Phys.Rev.D 38 (1988) 3327

DOI:

10.1103/PhysRevD.38.3327

Report number:

PRINT-88-0513 (MANCHESTER)

View in:

reference search54 citations

Citations per year

Abstract: (APS)

The high-temperature expansion of the free energy of a free, massive scalar field propagating in a static space-time is derived in terms of the Minakshisundaram coefficients. The method is an extension of a conformal transformation technique using ζ functions.

FIELD THEORY: MASSIVE
MASSIVE: FIELD THEORY
FIELD THEORY: ANY-DIMENSIONAL
TRANSFORMATION: CONFORMAL
SCALING
FIELD THEORY: FINITE TEMPERATURE
SCHROEDINGER EQUATION
RENORMALIZATION: REGULARIZATION
TEMPERATURE: HIGH

References(12)

Figures(0)

Finite Temperature and Boundary Effects in Static Space-Times

J.S. Dowker
(
- Manchester U.
)
,
Gerard Kennedy
(
- Manchester U.
)

- J.Phys.A 11 (1978) 895
•
DOI:
- 10.1088/0305-4470/11/5/020

Finite Temperature and Vacuum Effects in Higher Dimensions

J.S. Dowker
(
- Manchester U.
)

- Class.Quant.Grav. 1 (1984) 359
•
DOI:
- 10.1088/0264-9381/1/4/009

Proof of Summed Form of Proper Time Expansion for Propagator in Curved Space-time

- Phys.Rev.D 31 (1985) 2439
•
DOI:
- 10.1103/PhysRevD.31.2439

Conformal Transformation of the Effective Action

J.S. Dowker
(
- Manchester U.
)

- Phys.Rev.D 33 (1986) 3150
•
DOI:
- 10.1103/PhysRevD.33.3150

A Nonlocal Action for the Trace Anomaly

R.J. Riegert
(
- Maryland U.
)

- Phys.Lett.B 134 (1984) 56-60
•
DOI:
- 10.1016/0370-2693(84)90983-3

Functional Determinants and Effective Action for Conformal Scalar and Spinor Fields in External Gravitational Field. (In Russian)

I.L. Buchbinder
(
- BITP, Kiev and
- Tomsk State U.
)
,
V.P. Gusynin
(
- BITP, Kiev and
- Tomsk State U.
)
,
P.I. Fomin
(
- BITP, Kiev and
- Tomsk State U.
)

- Sov.J.Nucl.Phys. 44 (1986) 534-539,
- Yad.Fiz. 44 (1986) 828-838,
- Yad. Fiz. 44 ( 1986) 828-838

On the Energy Momentum Tensor at Finite Temperature in Curved Space-time

- Nucl.Phys.B 252 (1985) 621-634
•
DOI:
- 10.1016/0550-3213(85)90465-1

Vacuum Stress Tensor in an Einstein Universe. Finite Temperature Effects

J.S. Dowker
(
- Manchester U.
)
,
Raymond Critchley
(
- Manchester U.
)

- Phys.Rev.D 15 (1977) 1484
•
DOI:
- 10.1103/PhysRevD.15.1484

Black Holes and Thermal Green's Functions

G.W. Gibbons
(
- Cambridge U.
)
,
M.J. Perry
(
- Cambridge U.
)

- Proc.Roy.Soc.Lond.A 358 (1978) 467-494,
•
DOI:
- 10.1098/rspa.1978.0022

The Stress Tensor Conformal Anomaly for Scalar and Spinor Fields

J.S. Dowker
(
- Manchester U.
)
,
Raymond Critchley
(
- Manchester U.
)

- Phys.Rev.D 16 (1977) 3390
•
DOI:
- 10.1103/PhysRevD.16.3390

Instability of Flat Space at Finite Temperature

- Phys.Rev.D 25 (1982) 330-355,
- Phys. Rev. D25 ( 1982) 330-355 and Preprint - GROSS, D. J. (REC.AUG.81) 72p
•
DOI:
- 10.1103/PhysRevD.25.330

Expansions for Field Theories on $S^\prime \times \Sigma$

H.W. Braden
(
- Cambridge U.
)

- Phys.Rev.D 25 (1982) 1028
•
DOI:
- 10.1103/PhysRevD.25.1028