Published January 19, 2018 | Version v1
Journal article Metadata-only

Free energy on a cycle graph and trigonometric deformation of heat kernel traces on odd spheres

Creators

  • 1. National Institute of Technology, Gifu College, Motosu-shi, Gifu 501-0495 (Japan)
  • 2. Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753–8512 (Japan)

Description

We consider a possible 'deformation' of the trace of the heat kernel on odd dimensional spheres, motivated by the calculation of the free energy of a scalar field on a discretized circle. By using an expansion in terms of the modified Bessel functions, we obtain the values of the free energies after a suitable regularization. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8121/aa8a20

Additional details

Identifiers

DOI
10.1088/1751-8121/aa8a20;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
51
Journal Issue
3
Journal Page Range
[23 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52021197
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BESSEL FUNCTIONS; COMPUTERIZED SIMULATION; DEFORMATION; EXPANSION; FREE ENERGY; SCALAR FIELDS
Descriptors DEC
ENERGY; FUNCTIONS; PHYSICAL PROPERTIES; SIMULATION; THERMODYNAMIC PROPERTIES