Thermal Duality and Hagedorn Transition from p-adic Strings

Details Thermal Duality and Hagedorn Transition from p-adic Strings Thermal Duality and Hagedorn Transition from p-adic Strings

2009-10-13

arxiv.org/abs/0910.2274v1

Phys.Rev.Lett.104:021601,2010

Physics

High Energy Physics

High Energy Physics - Theory

4 pages and 4 figures

Scientific paper

10.1103/PhysRevLett.104.021601

We develop the finite temperature theory of p-adic string models. We find that the thermal properties of these non-local field theories can be interpreted either as contributions of standard thermal modes with energies proportional to the temperature, or inverse thermal modes with energies proportional to the inverse of the temperature, leading to a "thermal duality" at leading order (genus one) analogous to the well known T-duality of string theory. The p-adic strings also recover the asymptotic limits (high and low temperature) for arbitrary genus that purely stringy calculations have yielded. We also discuss our findings surrounding the nature of the Hagedorn transition.

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