DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions

Abstract

We explore the phase structure of a four dimensional SO(4) invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. The fermions belong to the fundamental representation of the symmetry group while the three scalar field components transform in the self-dual representation of SO(4). The model is a generalization of a four fermion system with the same symmetries that has received recent attention because of its unusual phase structure comprising massless and massive symmetric phases separated by a very narrow phase in which a small bilinear condensate breaking SO(4) symmetry is present. The generalization described in this paper simply consists of the addition of a scalar kinetic term. We find a region of the enlarged phase diagram which shows no sign of a fermion condensate or symmetry breaking but in which there is nevertheless evidence of a diverging correlation length. Our results in this region are consistent with the presence of a single continuous phase transition separating the massless and massive symmetric phases observed in the earlier work.

Authors:
; ;
Publication Date:
Research Org.:
Syracuse Univ., NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1488898
Alternate Identifier(s):
OSTI ID: 1611296
Grant/Contract Number:  
SC0009998
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Lattice field theory; Nonperturbative effects in field theory

Citation Formats

Butt, Nouman, Catterall, Simon, and Schaich, David. S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.114514.
Butt, Nouman, Catterall, Simon, & Schaich, David. S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions. United States. https://doi.org/10.1103/PhysRevD.98.114514
Butt, Nouman, Catterall, Simon, and Schaich, David. Wed . "S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions". United States. https://doi.org/10.1103/PhysRevD.98.114514.
@article{osti_1488898,
title = {S O ( 4 ) invariant Higgs-Yukawa model with reduced staggered fermions},
author = {Butt, Nouman and Catterall, Simon and Schaich, David},
abstractNote = {We explore the phase structure of a four dimensional SO(4) invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. The fermions belong to the fundamental representation of the symmetry group while the three scalar field components transform in the self-dual representation of SO(4). The model is a generalization of a four fermion system with the same symmetries that has received recent attention because of its unusual phase structure comprising massless and massive symmetric phases separated by a very narrow phase in which a small bilinear condensate breaking SO(4) symmetry is present. The generalization described in this paper simply consists of the addition of a scalar kinetic term. We find a region of the enlarged phase diagram which shows no sign of a fermion condensate or symmetry breaking but in which there is nevertheless evidence of a diverging correlation length. Our results in this region are consistent with the presence of a single continuous phase transition separating the massless and massive symmetric phases observed in the earlier work.},
doi = {10.1103/PhysRevD.98.114514},
journal = {Physical Review D},
number = 11,
volume = 98,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.98.114514

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Fermion masses through four-fermion condensates
journal, October 2016

  • Ayyar, Venkitesh; Chandrasekharan, Shailesh
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)058

The phase structure of a chirally invariant lattice Higgs-Yukawa model—numerical simulations
journal, October 2007


Fermion-Higgs model with reduced staggered fermions
journal, September 1992


Fermion mass without symmetry breaking
journal, January 2016


Non-perturbative Yukawa couplings
journal, October 1988


The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant
journal, September 2007


Unquenched investigation of fermion masses in a chiral fermion theory on the lattice
journal, August 1990


Phases of a strongly coupled four-fermion theory
journal, January 2018


Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
journal, September 2015


Lattice study of a Yukawa theory with a real scalar field
journal, January 1990


Quantum critical point of Dirac fermion mass generation without spontaneous symmetry breaking
journal, December 2016


Topology and strong four fermion interactions in four dimensions
journal, May 2018


Non-perturbative study of the strongly coupled scalar-fermion model
journal, April 1989


Origin of fermion masses without spontaneous symmetry breaking
journal, April 2016


The equivalence of the top quark condensate and the elementary Higgs field
journal, November 1991


Effects of interactions on the topological classification of free fermion systems
journal, April 2010


Study of different lattice formulations of a Yukawa model with a real scalar field
journal, April 1990


Results from a strong-coupling expansion for a lattice Yukawa model with a real scalar field
journal, January 1991


Massive fermions without fermion bilinear condensates
journal, March 2015


Novel phases in strongly coupled four-fermion theories
journal, August 2017