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Title: Stability analysis of the chiral transition in SU(4) gauge theory with fermions in multiple representations

Abstract

We present a Pisarski-Wilczek stability analysis of SU(4) gauge theory coupled simultaneously to fermions charged under the fundamental and two-index antisymmetric representations of the gauge group. We carry out the calculation to one loop in the ε expansion, assuming that the two species of fermion undergo a simultaneous chiral transition. The results indicate that the chiral transition is first order.

Authors:
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1430558
Alternate Identifier(s):
OSTI ID: 1498852
Grant/Contract Number:  
SC0010005; sc0010005
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Hackett, Daniel C. Stability analysis of the chiral transition in SU(4) gauge theory with fermions in multiple representations. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.055050.
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Hackett, Daniel C. Stability analysis of the chiral transition in SU(4) gauge theory with fermions in multiple representations. United States. https://doi.org/10.1103/PhysRevD.97.055050
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Hackett, Daniel C. Fri . "Stability analysis of the chiral transition in SU(4) gauge theory with fermions in multiple representations". United States. https://doi.org/10.1103/PhysRevD.97.055050.
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@article{osti_1430558,
title = {Stability analysis of the chiral transition in SU(4) gauge theory with fermions in multiple representations},
author = {Hackett, Daniel C.},
abstractNote = {We present a Pisarski-Wilczek stability analysis of SU(4) gauge theory coupled simultaneously to fermions charged under the fundamental and two-index antisymmetric representations of the gauge group. We carry out the calculation to one loop in the ε expansion, assuming that the two species of fermion undergo a simultaneous chiral transition. The results indicate that the chiral transition is first order.},
doi = {10.1103/PhysRevD.97.055050},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {Fri Mar 30 00:00:00 EDT 2018},
month = {Fri Mar 30 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.055050
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Citation Metrics:
Cited by: 4 works
Citation information provided by
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Figures / Tables:

TABLE I TABLE I: The five (of six total) fixed points which are amenable to concise analytic expression. All fixed points found have $v$$F$ = $v$$A$2 = 0. The first four fixed points are decoupled product fixed points, while the fifth is a fixed point novel to the multirep system. Couplings aremore » in the convention of the $β$ functions.« less
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    Figures / Tables found in this record:

    TABLE I (p. 5)table
    TABLE II (p. 5)table
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