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Title: Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus

Abstract

We show that the solitonic contribution of toroidally compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In the simplest case of compactification on a circle, the Hamiltonian is the Laplacian on the 2g-dimensional Jacobian torus associated with the genus g Riemann surface corresponding to the string world sheet. T duality leads to a symmetry of the partition function mixing time and temperature. Such a classical-quantum correspondence and T duality shed some light on the well-known interplay between time and temperature in quantum field theory and classical statistical mechanics.

Authors:
; ; ;  [1]
  1. Dipartimento di Fisica 'G. Galilei' and Istituto Nazionale di Fisica Nucleare, Universita di Padova, Via Marzolo, 8-35131 Padova (Italy)
Publication Date:
OSTI Identifier:
20861536
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 97; Journal Issue: 26; Other Information: DOI: 10.1103/PhysRevLett.97.261601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPACTIFICATION; DUALITY; HAMILTONIANS; LAPLACIAN; PARTITION FUNCTIONS; QUANTUM FIELD THEORY; RIEMANN SHEET; STATISTICAL MECHANICS; STRING MODELS; SYMMETRY

Citation Formats

Matone, Marco, Pasti, Paolo, Shadchin, Sergey, and Volpato, Roberto. Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.97.261601.
Matone, Marco, Pasti, Paolo, Shadchin, Sergey, & Volpato, Roberto. Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus. United States. doi:10.1103/PHYSREVLETT.97.261601.
Matone, Marco, Pasti, Paolo, Shadchin, Sergey, and Volpato, Roberto. Sun . "Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus". United States. doi:10.1103/PHYSREVLETT.97.261601.
@article{osti_20861536,
title = {Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus},
author = {Matone, Marco and Pasti, Paolo and Shadchin, Sergey and Volpato, Roberto},
abstractNote = {We show that the solitonic contribution of toroidally compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In the simplest case of compactification on a circle, the Hamiltonian is the Laplacian on the 2g-dimensional Jacobian torus associated with the genus g Riemann surface corresponding to the string world sheet. T duality leads to a symmetry of the partition function mixing time and temperature. Such a classical-quantum correspondence and T duality shed some light on the well-known interplay between time and temperature in quantum field theory and classical statistical mechanics.},
doi = {10.1103/PHYSREVLETT.97.261601},
journal = {Physical Review Letters},
number = 26,
volume = 97,
place = {United States},
year = {Sun Dec 31 00:00:00 EST 2006},
month = {Sun Dec 31 00:00:00 EST 2006}
}