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Title: Novel phases in strongly coupled four-fermion theories

Abstract

Here, we study a lattice model comprising four massless reduced staggered fermions in four dimensions coupled through an SU(4)-invariant four-fermion interaction. We present both theoretical arguments and numerical evidence that no bilinear fermion condensates are present for any value of the four-fermi coupling, in contrast to earlier studies of Higgs{Yukawa models with different exact lattice symmetries. At strong coupling we observe the formation of a four-fermion condensate and a mass gap in spite of the absence of bilinear condensates. Unlike those previously studied systems we do not find a ferromagnetic phase separating this strong-coupling phase from the massless weak-coupling phase. Instead we observe long-range correlations in a narrow region of the coupling, still with vanishing bilinear condensates. While our numerical results come from relatively small lattice volumes that call for caution in drawing conclusions, if this novel phase structure is verified by future investigations employing larger volumes it may offer the possibility for new continuum limits for strongly interacting fermions in four dimensions.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Syracuse University, NY (United States)
  2. Syracuse University, NY (United States); ; University of Bern (Switzerland)
Publication Date:
Research Org.:
Syracuse Univ., NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1536350
Alternate Identifier(s):
OSTI ID: 1374217
Grant/Contract Number:  
SC0009998
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; 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; 79 ASTRONOMY AND ASTROPHYSICS; spontaneous symmetry breaking; lattice gauge theory

Citation Formats

Catterall, Simon, and Schaich, David. Novel phases in strongly coupled four-fermion theories. United States: N. p., 2017. Web. doi:10.1103/physrevd.96.034506.
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Catterall, Simon, & Schaich, David. Novel phases in strongly coupled four-fermion theories. United States. https://doi.org/10.1103/physrevd.96.034506
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Catterall, Simon, and Schaich, David. Mon . "Novel phases in strongly coupled four-fermion theories". United States. https://doi.org/10.1103/physrevd.96.034506. https://www.osti.gov/servlets/purl/1536350.
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@article{osti_1536350,
title = {Novel phases in strongly coupled four-fermion theories},
author = {Catterall, Simon and Schaich, David},
abstractNote = {Here, we study a lattice model comprising four massless reduced staggered fermions in four dimensions coupled through an SU(4)-invariant four-fermion interaction. We present both theoretical arguments and numerical evidence that no bilinear fermion condensates are present for any value of the four-fermi coupling, in contrast to earlier studies of Higgs{Yukawa models with different exact lattice symmetries. At strong coupling we observe the formation of a four-fermion condensate and a mass gap in spite of the absence of bilinear condensates. Unlike those previously studied systems we do not find a ferromagnetic phase separating this strong-coupling phase from the massless weak-coupling phase. Instead we observe long-range correlations in a narrow region of the coupling, still with vanishing bilinear condensates. While our numerical results come from relatively small lattice volumes that call for caution in drawing conclusions, if this novel phase structure is verified by future investigations employing larger volumes it may offer the possibility for new continuum limits for strongly interacting fermions in four dimensions.},
doi = {10.1103/physrevd.96.034506},
journal = {Physical Review. D.},
number = 3,
volume = 96,
place = {United States},
year = {Mon Aug 07 00:00:00 EDT 2017},
month = {Mon Aug 07 00:00:00 EDT 2017}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevd.96.034506
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Cited by: 17 works
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Figures / Tables:

FIG. 1 FIG. 1: 〈$\frac{1}{4}$σ$_{±}^{2}$ 〉 − $\frac{3}{2}$ vs. G for L = 4, 6 and 8 with vanishing external sources ($\mathcal{m}$ = 0 in Eq. 26).
All figures and tables (14 total)
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Works referenced in this record:

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    Works referencing / citing this record:

    Exotic Phases of a Higgs-Yukawa Model with Reduced Staggered Fermions
    preprint, January 2020

    Chiral Lattice Fermions From Staggered Fields
    text, January 2020

    SO (4) invariant Higgs-Yukawa model with reduced staggered fermions
    text, January 2018

    • Butt, Nouman; Catterall, Simon; Schaich, David Alexander
    • American Physical Society
    • DOI: 10.7892/boris.123754
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      Figures / Tables found in this record:

      FIG. 1 (p. 4)figure
      FIG. 2 (p. 5)figure
      FIG. 3 (p. 5)figure
      FIG. 4 (p. 6)figure
      FIG. 5 (p. 6)figure
      FIG. 6 (p. 6)figure
      FIG. 7 (p. 7)figure
      FIG. 10 (p. 8)figure
      FIG. 8 (p. 8)figure
      FIG. 9 (p. 8)figure
      FIG. 11 (p. 9)figure
      FIG. 12 (p. 9)figure
      FIG. 13 (p. 9)figure
      FIG. 14 (p. 10)figure
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