Abstract
String bit systems exhibit a Hagedorn transition in the limit. However, there is no phase transition when is finite (but still large). We calculate two-loop, finite corrections to the partition function in the low-temperature regime. The Haar measure in the singlet-restricted partition function contributes pieces to loop corrections that diverge as when summed over the mode numbers. We study how these divergent pieces cancel each other out when combined. The properly normalized two-loop corrections vanish as for all temperatures below the Hagedorn temperature. The coefficient of this dependence decreases with temperature and diverges at the Hagedorn pole.
1 More- Received 8 October 2019
DOI:https://doi.org/10.1103/PhysRevD.100.106011
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society