Mellin-Barnes Representation for the Genus-g Finite Temperature String Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, report UTF 294 (1993)

Scientific paper

10.1016/0370-2693(93)90538-S

The Mellin-Barnes representation for the free energy of the genus-$g$ string is constructed. It is shown that the interactions of the open bosonic string do not modify the critical (Hagedorn) temperature. However,for the sectors having a spinor structure, the critical temperature exists also for all $g$ and depends on the windings. The appearance of a periodic structure is briefly discussed.

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