Finite Temperature Bosonic Closed Strings: Thermal Duality and the Kosterlitz Thouless Transition

Details Finite Temperature Bosonic Closed Strings: Thermal Duality and the Kosterlitz Thouless Transition Finite Temperature Bosonic Closed Strings: Thermal Duality and the Kosterlitz Thouless Transition

2001-05-11

arxiv.org/abs/hep-th/0105110v9

Phys.Rev. D65 (2002) 066008

Physics

High Energy Physics

High Energy Physics - Theory

22pgs. Note Added (Sep 2005), clarifying conclusions

Scientific paper

10.1103/PhysRevD.65.066008

We elucidate the properties of a gas of free closed bosonic strings in thermal equilibrium. Our starting point is the intensive generating functional of connected one-loop closed vacuum string graphs given by the Polyakov path integral. Invariance of the path integral under modular transformations gives a thermal duality invariant expression for the free energy of free closed strings at finite temperature. The free bosonic string gas exhibits a self-dual Kosterlitz-Thouless phase transition. The thermodynamic potentials of the gas of free bosonic closed strings are shown to exhibit an infinite hierarchy of thermal self-duality relations. Note Added (Sep 2005).

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