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

Journal Article · · Physical Review D
 [1];  [1];  [2]
  1. Syracuse Univ., NY (United States)
  2. Univ. of Bern (Switzerland)

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.

Research Organization:
Syracuse Univ., NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); USDOE
Grant/Contract Number:
SC0009998
OSTI ID:
1488898
Alternate ID(s):
OSTI ID: 1611296
Journal Information:
Physical Review D, Vol. 98, Issue 11; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

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Cited By (2)

Lattice gauge theory for physics beyond the Standard Model journal November 2019
Lattice Gauge Theory for Physics Beyond the Standard Model text January 2019