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

Aleksey Cherman, Syo Kamata, Thomas Schäfer, Mithat Ünsal

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number014012
JournalPhysical Review D
Volume101
Issue number1
DOIs
StatePublished - Jan 15 2020

Bibliographical note

Funding Information:
We are grateful to O. Costin for helpful discussions. The work of S. K., T. S. and M. Ü. is supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award Number DE-FG02-03ER41260.

Publisher Copyright:
© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" 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 SCOAP.

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