Laurent Series Representation for the Open Superstring Free Energy
A.A. Bytsenko, E. Elizalde, S.D. Odintsov nd S. Zerbini
TL;DR
This paper introduces a Laurent series representation for the free energy of open superstrings at finite temperature, revealing the Hagedorn temperature as a convergence limit of the series.
Contribution
The paper presents a new Laurent series formalism for superstring free energy, linking the Hagedorn temperature to the series' convergence properties.
Findings
Hagedorn temperature identified as Laurent series convergence radius
New Laurent series representation for superstring free energy
Convergence condition corresponds to the Hagedorn temperature
Abstract
Open superstrings at non-zero temperature are considered. A novel representation for the free energy (Laurent series representation) is constructed. It is shown that the Hagedorn temperature arises in this formalism as the convergence condition (specifically, the radius of convergence) of the Laurent series.
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