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Title: Finite-Temperature Conformal Field Theory Results for All Couplings: O ( N ) Model in 2 + 1 Dimensions

Abstract

A famous example of gauge/gravity duality is the result that the entropy density of strongly coupled $${\cal N}=4$$ SYM in four dimensions for large N is exactly 3/4 of the Stefan-Boltzmann limit. In this work, I revisit the massless O(N) model in 2+1 dimensions, which is analytically solvable at finite temperature $T$ for all couplings $$\lambda$$ in the large N limit. I find that the entropy density monotonically decreases from the Stefan-Boltzmann limit at $$\lambda=0$$ to exactly 4/5 of the Stefan-Boltzmann limit at $$\lambda=\infty$$. Calculating the retarded energy-momentum tensor correlator in the scalar channel at $$\lambda=\infty$$, I find that it has two logarithmic branch cuts originating at $$\omega=\pm 4 T \ln \frac{1+\sqrt{5}}{2}$$, but no singularities in the whole complex frequency plane. I show that the ratio 4/5 and the location of the branch points both are universal within a large class of bosonic CFTs in 2+1 dimensions.

Authors:
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1526328
Alternate Identifier(s):
OSTI ID: 1593875
Grant/Contract Number:  
SC0017905
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 23; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Romatschke, Paul. Finite-Temperature Conformal Field Theory Results for All Couplings: O ( N ) Model in 2 + 1 Dimensions. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.231603.
Romatschke, Paul. Finite-Temperature Conformal Field Theory Results for All Couplings: O ( N ) Model in 2 + 1 Dimensions. United States. doi:10.1103/PhysRevLett.122.231603.
Romatschke, Paul. Fri . "Finite-Temperature Conformal Field Theory Results for All Couplings: O ( N ) Model in 2 + 1 Dimensions". United States. doi:10.1103/PhysRevLett.122.231603.
@article{osti_1526328,
title = {Finite-Temperature Conformal Field Theory Results for All Couplings: O ( N ) Model in 2 + 1 Dimensions},
author = {Romatschke, Paul},
abstractNote = {A famous example of gauge/gravity duality is the result that the entropy density of strongly coupled ${\cal N}=4$ SYM in four dimensions for large N is exactly 3/4 of the Stefan-Boltzmann limit. In this work, I revisit the massless O(N) model in 2+1 dimensions, which is analytically solvable at finite temperature $T$ for all couplings $\lambda$ in the large N limit. I find that the entropy density monotonically decreases from the Stefan-Boltzmann limit at $\lambda=0$ to exactly 4/5 of the Stefan-Boltzmann limit at $\lambda=\infty$. Calculating the retarded energy-momentum tensor correlator in the scalar channel at $\lambda=\infty$, I find that it has two logarithmic branch cuts originating at $\omega=\pm 4 T \ln \frac{1+\sqrt{5}}{2}$, but no singularities in the whole complex frequency plane. I show that the ratio 4/5 and the location of the branch points both are universal within a large class of bosonic CFTs in 2+1 dimensions.},
doi = {10.1103/PhysRevLett.122.231603},
journal = {Physical Review Letters},
number = 23,
volume = 122,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.122.231603

Citation Metrics:
Cited by: 6 works
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