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Title: Analytic transport from weak to strong coupling in the O ( N ) model

Abstract

In this work, a second-order transport coefficient (the curvature-matter coupling $$\kappa$$) is calculated exactly for the O(N) model at large N for any coupling value. Since the theory is ``trivial'' in the sense of possessing a Landau pole, the result for $$\kappa$$ only is free from cut-off artifacts much below the Landau pole in the effective field theory sense. Nevertheless, this leaves a large range of coupling values where this transport coefficient can be determined non-perturbatively and analytically with little ambiguity. Along with thermodyamic results also calculated in this work, I expect exact large N results to provide good quantitative predictions for N=1 scalar field theory with $$\phi^4$$ interaction.

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:
1564538
Alternate Identifier(s):
OSTI ID: 1593883
Grant/Contract Number:  
SC0017905
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Finite temperature field theory; Large-N expansion in field theory; Nonperturbative effects in field theory; Transport phenomena

Citation Formats

Romatschke, Paul. Analytic transport from weak to strong coupling in the O ( N ) model. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.054029.
Romatschke, Paul. Analytic transport from weak to strong coupling in the O ( N ) model. United States. doi:10.1103/PhysRevD.100.054029.
Romatschke, Paul. Mon . "Analytic transport from weak to strong coupling in the O ( N ) model". United States. doi:10.1103/PhysRevD.100.054029.
@article{osti_1564538,
title = {Analytic transport from weak to strong coupling in the O ( N ) model},
author = {Romatschke, Paul},
abstractNote = {In this work, a second-order transport coefficient (the curvature-matter coupling $\kappa$) is calculated exactly for the O(N) model at large N for any coupling value. Since the theory is ``trivial'' in the sense of possessing a Landau pole, the result for $\kappa$ only is free from cut-off artifacts much below the Landau pole in the effective field theory sense. Nevertheless, this leaves a large range of coupling values where this transport coefficient can be determined non-perturbatively and analytically with little ambiguity. Along with thermodyamic results also calculated in this work, I expect exact large N results to provide good quantitative predictions for N=1 scalar field theory with $\phi^4$ interaction.},
doi = {10.1103/PhysRevD.100.054029},
journal = {Physical Review D},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.054029

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