• Open Access

Finite N corrections to white hot string bits

Sourav Raha
Phys. Rev. D 100, 106011 – Published 21 November 2019

Abstract

String bit systems exhibit a Hagedorn transition in the N limit. However, there is no phase transition when N is finite (but still large). We calculate two-loop, finite N 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 O(N) 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 O(N1) for all temperatures below the Hagedorn temperature. The coefficient of this 1/N dependence decreases with temperature and diverges at the Hagedorn pole.

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  • 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

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Sourav Raha*

  • Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, Florida 32611, USA

  • *souravraha@ufl.edu

Article Text

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Issue

Vol. 100, Iss. 10 — 15 November 2019

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