Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus

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dc.creatorMatone, Marco
dc.creatorPasti, Paolo
dc.creatorShadchin, Sergey
dc.creatorVolpato, Roberto
dc.date2006-07-20
dc.date2006-11-20
dc.date.accessioned2026-07-07T11:06:52Z
dc.date.available2026-07-07T11:06:52Z
dc.descriptionWe show that the solitonic contribution of compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In the simplest case of a compactification in a circle, the Hamiltonian corresponds to the Laplacian on the 2g-dimensional Jacobian torus associated to the genus g Riemann surface corresponding to the string worldsheet. 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 QFT and classical statistical mechanics.
dc.description10 pages, typos corrected, minor changes; to appear in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/hep-th/0607133
dc.identifierhttp://arxiv.org/abs/hep-th/0607133
dc.identifierPhys.Rev.Lett.97:261601,2006
dc.identifierdoi:10.1103/PhysRevLett.97.261601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189666
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleCompactified Strings as Quantum Statistical Partition Function on the Jacobian Torus
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