Hagedorn transition for strings on pp-waves and tori with chemical potentials

Details Hagedorn transition for strings on pp-waves and tori with chemical potentials Hagedorn transition for strings on pp-waves and tori with chemical potentials

2002-11-21

arxiv.org/abs/hep-th/0211201v2

Nucl.Phys. B652 (2003) 127-141

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, references added and minor corrections

Scientific paper

10.1016/S0550-3213(03)00003-8

It has been conjectured that string theory in a pp-wave background is dual to a sector of N=4 supersymmetric Yang-Mills theory. We study the Hagedorn transition for free strings in this background. We find that the free energy at the transition point is finite suggesting a confinement/deconfinement transition in the gauge theory. In the limit of vanishing mass parameter the free energy matches that of free strings on an 8-torus with momentum/winding chemical potential. The entropy in the microcanonical ensemble with fixed energy and fixed momentum/winding is computed in each case.

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