DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Finite N corrections to white hot string bits

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 $$\mathcal{O}$$( 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 $$\mathcal{O}$$( N –1) for all temperatures below the Hagedorn temperature. The coefficient of this 1/ N dependence decreases with temperature and diverges at the Hagedorn pole.

Authors:
ORCiD logo
Publication Date:
Research Org.:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1607572
Alternate Identifier(s):
OSTI ID: 1802077
Grant/Contract Number:  
SC0010296
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 10; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats

Raha, Sourav. Finite N corrections to white hot string bits. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.106011.
Raha, Sourav. Finite N corrections to white hot string bits. United States. https://doi.org/10.1103/PhysRevD.100.106011
Raha, Sourav. Thu . "Finite N corrections to white hot string bits". United States. https://doi.org/10.1103/PhysRevD.100.106011.
@article{osti_1607572,
title = {Finite N corrections to white hot string bits},
author = {Raha, Sourav},
abstractNote = {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 $\mathcal{O}$(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 $\mathcal{O}$(N–1) for all temperatures below the Hagedorn temperature. The coefficient of this 1/N dependence decreases with temperature and diverges at the Hagedorn pole.},
doi = {10.1103/PhysRevD.100.106011},
journal = {Physical Review D},
number = 10,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.106011

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Hagedorn Temperature of AdS 5 / CFT 4 via Integrability
journal, February 2018


String bits at finite temperature and the Hagedorn phase
journal, September 2015


Possible third-order phase transition in the large- N lattice gauge theory
journal, January 1980


A planar diagram theory for strong interactions
journal, April 1974


Planar diagrams
journal, February 1978

  • Brézin, E.; Itzykson, C.; Parisi, G.
  • Communications in Mathematical Physics, Vol. 59, Issue 1
  • DOI: 10.1007/BF01614153

The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
journal, November 2018


Thermal properties of a string bit model at large N
journal, October 2017


Space from string bits
journal, November 2014


String bit models for superstring
journal, November 1995


Lattice approach to string theory
journal, July 1977


Hagedorn temperature in superstring bit model and S U ( N ) characters
journal, October 2017


The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
journal, January 2004

  • Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
  • Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
  • DOI: 10.4310/ATMP.2004.v8.n4.a1