Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus

doi:10.1103/PHYSREVLETT.97.261601

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

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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:

Matone, Marco; Pasti, Paolo; Shadchin, Sergey; Volpato, Roberto ^[1]

Dipartimento di Fisica 'G. Galilei' and Istituto Nazionale di Fisica Nucleare, Universita di Padova, Via Marzolo, 8-35131 Padova (Italy)

Publication Date:: Sun Dec 31 00:00:00 EST 2006

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.

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                    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.

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                    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.

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@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}

}

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Journal Article:

DOI: 10.1103/PHYSREVLETT.97.261601

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