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.

9 pages, report UTF 294 (1993)

References in corpus (2)

• A Novel Representation for the Free Energy in String Theory at Non-Zero Temperature
• Laurent Series Representation for the Open Superstring Free Energy

Cited by in corpus (3)

• Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
• Nuclear Matter in Intense Magnetic Field and Weak Processes
• Thermodynamic Properties of the 2N-Piece Relativistic String