Adventures in thermal duality. I. Extracting closed-form solutions for finite-temperature effective potentials in string theory

Keith R Dienes, Michael Lennek

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Thermal duality, which relates the physics of closed strings at temperature [Formula Presented] to the physics at the inverse temperature [Formula Presented], is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of thermodynamic quantities such as entropy and specific heat are not invariant under the thermal duality symmetry. In this paper, we investigate whether there might nevertheless exist special solutions for the string effective potential such that the duality symmetry will be preserved for all thermodynamic quantities. Imposing this as a constraint, we derive a series of unique functional forms for the complete temperature dependence of the required string effective potentials. Moreover, we demonstrate that these solutions successfully capture the leading temperature behavior of a variety of actual one-loop effective potentials for duality-covariant finite-temperature string ground states. This leads us to conjecture that our solutions might actually represent the exact effective potentials when contributions from all orders of perturbation theory are included.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number12
DOIs
StatePublished - Jan 1 2004

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string theory
strings
thermodynamics
temperature
physics
symmetry
perturbation theory
specific heat
entropy
heat
temperature dependence
ground state

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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