Summary
The Mellin-Barnes representation for the partition of a non-critical bosonic string at non-zero temperature is constructed. The partition function is calculated at any genus. The critical (Hagedorn) temperature is also found.
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Bytsenko, A.A., Odintsov, S.D. The multiloop partition function for a non-critical bosonic string at non-zero temperature. Nuovo Cim B 109, 99–102 (1994). https://doi.org/10.1007/BF02723734
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DOI: https://doi.org/10.1007/BF02723734