High-temperature expansion of the free energy of a massive scalar field in a curved space

1988 ◽  
Vol 38 (10) ◽  
pp. 3327-3329 ◽  
Author(s):  
J. S. Dowker ◽  
John P. Schofield
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Scalar Field ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Curved Space ◽  
Temperature Expansion ◽  
High Temperature Expansion

scholarly journals A NOTE ON THE CASIMIR ENERGY OF A MASSIVE SCALAR FIELD IN POSITIVE CURVATURE SPACE

2004 ◽  
Vol 19 (02) ◽  
pp. 111-116 ◽  
Author(s):  
E. ELIZALDE ◽  
A. C. TORT
Keyword(s):  
High Temperature ◽  
Scalar Field ◽  
Zeta Function ◽  
Vacuum Energy ◽  
Positive Curvature ◽  
Zero Point ◽  
Casimir Energy ◽  
Massive Scalar ◽  
Zero Temperature ◽  
Massive Scalar Field

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in R1×S3 space, allowing also for deviations from the standard conformal value ξ=1/6, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularization of the vacuum energy, as conjectured in a previous publication. The analytic continuation can be performed in two ways, which are seen to be equivalent.

HIGH-TEMPERATURE SERIES FOR THERMODYNAMIC FUNCTIONS

2003 ◽  
Vol 02 (01) ◽  
pp. 1-5 ◽  
Author(s):  
FRANCISCO M. FERNÁNDEZ
Keyword(s):  
Free Energy ◽  
Perturbation Theory ◽  
High Temperature ◽  
Thermodynamic Functions ◽  
Temperature Series ◽  
Present Approach ◽  
Rigid Rotor ◽  
Temperature Expansion ◽  
High Temperature Expansion

We propose a high-temperature expansion for thermodynamic functions. As an example we calculate the free energy for a restricted plane rigid rotor and compare present approach with perturbation theory.

High temperature multigraph expansions for general Ising systems

1981 ◽  
Vol 59 (1) ◽  
pp. 15-21 ◽  
Author(s):  
J. Oitmaa
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Square Lattice ◽  
Zero Field ◽  
Nearest Neighbour ◽  
Temperature Expansion ◽  
Graphical Information ◽  
Ising Systems ◽  
High Temperature Expansion ◽  
Multiple Edges

A high temperature expansion, in terms of connected graphs with single and multiple edges, is developed for general Ising systems with interactions of more than one type. The graphical information obtained is sufficient to derive 11 terms in the expansion of the high temperature zero-field susceptibility and 12 terms in the zero-field free energy for any Ising system. Series to this order are presented for the square lattice with nearest and next nearest neighbour interactions.

scholarly journals HIGH TEMPERATURE EXPANSION OF STRING FREE ENERGY IN HYPERBOLIC SPACE

1995 ◽  
Vol 10 (22) ◽  
pp. 1619-1626 ◽  
Author(s):  
A.A. BYTSENKO ◽  
S.D. ODINTSOV ◽  
S. ZERBINI
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Normal Modes ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Lower Mass ◽  
Temperature Expansion ◽  
High Temperature Expansion ◽  
Leading Term ◽  
The One

The high temperature behavior of the open bosonic string free energy in the space S1 ⊗ HN with vanishingly small curvature is investigated. The leading term of the high temperature expansion of the one-loop free energy, near the Hagedorn instability, is obtained. The problem of ir regularization of thermodynamical quantities is pointed out. For minimally coupling quantum fields related to the normal modes of strings, the results are similar to the ones valid for Rindler space. In the lower mass string states regime a connection with the quantum corrections to the black hole entropy is outlined.

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