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