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.affiliation: Dipartimento di Fisica "G. Galilei" and Istituto Nazionale di Fisica Nucleare, Università di Padova, Via Marzolo, 8-35131 Padova, Italy.
authors.forename: Marco
authors.initials: M
authors.lastname: Matone
authors.forename: Paolo
authors.initials: P
authors.lastname: Pasti
authors.forename: Sergey
authors.initials: S
authors.lastname: Shadchin
authors.forename: Roberto
authors.initials: R
authors.lastname: Volpato