Hagedorn divergences and tachyon potential

Details Hagedorn divergences and tachyon potential Hagedorn divergences and tachyon potential

2007-01-22

arxiv.org/abs/hep-th/0701205v1

JHEP 0706:008,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 13 figures, uses harvmac

Scientific paper

10.1088/1126-6708/2007/06/008

We consider the critical behavior for a string theory near the Hagedorn temperature. We use the factorization of the worldsheet to isolate the Hagedorn divergences at all genera. We show that the Hagedorn divergences can be resummed by introducing double scaling limits, which smooth the divergences. The double scaling limits also allow one to extract the effective potential for the thermal scalar. For a string theory in an asymptotic anti-de Sitter (AdS) spacetime, the AdS/CFT correspondence implies that the critical Hagedorn behavior and the relation with the effective potential should also arise from the boundary Yang-Mills theory. We show that this is indeed the case. In particular we find that the free energy of a Yang-Mills theory contains ``vortex'' contributions at finite temperature. Yang-Mills Feynman diagrams with vortices can be identified with contributions from boundaries of moduli space on the string theory side.

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