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Title: Flow of Hagedorn singularities and phase transitions in large N gauge theories

Abstract

We investigate the singularity structure of the (-1)F graded partition function in QCD with nf≥1 massive adjoint fermions in the large-N limit. Here, F is fermion number and N is the number of colors. The large N partition function is made reliably calculable by taking space to be a small three-sphere S3. Singularities in the graded partition function are related to phase transitions and to Hagedorn behavior in the (-1)F-graded density of states. We study the flow of the singularities in the complex “inverse temperature” β plane as a function of the quark mass. This analysis is a generalization of the Lee-Yang-Fisher-type analysis for a theory which is always in the thermodynamic limit thanks to the large N limit. We identify two distinct mechanisms for the appearance of physical Hagedorn singularities and center-symmetry changing phase transitions at real positive β, inflow of singularities from the β=0 point, and collisions of complex conjugate pairs of singularities.

Authors:
 [1];  [2]; ORCiD logo [3]; ORCiD logo [3]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
  2. North Carolina State Univ., Raleigh, NC (United States); Jiangxi Normal Univ., Nanchang (China)
  3. North Carolina State Univ., Raleigh, NC (United States)
Publication Date:
Research Org.:
North Carolina State University, Raleigh, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1591703
Alternate Identifier(s):
OSTI ID: 1777083
Grant/Contract Number:  
FG02-03ER41260
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 101; Journal Issue: 1; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cherman, Aleksey, Kamata, Syo, Schäfer, Thomas, and Ünsal, Mithat. Flow of Hagedorn singularities and phase transitions in large N gauge theories. United States: N. p., 2020. Web. doi:10.1103/physrevd.101.014012.
Cherman, Aleksey, Kamata, Syo, Schäfer, Thomas, & Ünsal, Mithat. Flow of Hagedorn singularities and phase transitions in large N gauge theories. United States. https://doi.org/10.1103/physrevd.101.014012
Cherman, Aleksey, Kamata, Syo, Schäfer, Thomas, and Ünsal, Mithat. Wed . "Flow of Hagedorn singularities and phase transitions in large N gauge theories". United States. https://doi.org/10.1103/physrevd.101.014012.
@article{osti_1591703,
title = {Flow of Hagedorn singularities and phase transitions in large N gauge theories},
author = {Cherman, Aleksey and Kamata, Syo and Schäfer, Thomas and Ünsal, Mithat},
abstractNote = {We investigate the singularity structure of the (-1)F graded partition function in QCD with nf≥1 massive adjoint fermions in the large-N limit. Here, F is fermion number and N is the number of colors. The large N partition function is made reliably calculable by taking space to be a small three-sphere S3. Singularities in the graded partition function are related to phase transitions and to Hagedorn behavior in the (-1)F-graded density of states. We study the flow of the singularities in the complex “inverse temperature” β plane as a function of the quark mass. This analysis is a generalization of the Lee-Yang-Fisher-type analysis for a theory which is always in the thermodynamic limit thanks to the large N limit. We identify two distinct mechanisms for the appearance of physical Hagedorn singularities and center-symmetry changing phase transitions at real positive β, inflow of singularities from the β=0 point, and collisions of complex conjugate pairs of singularities.},
doi = {10.1103/physrevd.101.014012},
journal = {Physical Review D},
number = 1,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevd.101.014012

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