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Title: Fermion masses through four-fermion condensates

Abstract

Fermion masses can be generated through four-fermion condensates when symmetries prevent fermion bilinear condensates from forming. This less explored mechanism of fermion mass generation is responsible for making four reduced staggered lattice fermions massive at strong couplings in a lattice model with a local four-fermion coupling. The model has a massless fermion phase at weak couplings and a massive fermion phase at strong couplings. In particular there is no spontaneous symmetry breaking of any lattice symmetries in both these phases. Recently it was discovered that in three space-time dimensions there is a direct second order phase transition between the two phases. Here we study the same model in four space-time dimensions and find results consistent with the existence of a narrow intermediate phase with fermion bilinear condensates, that separates the two asymptotic phases by continuous phase transitions.

Authors:
 [1];  [1]
  1. Duke Univ., Durham, NC (United States)
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1361623
Grant/Contract Number:  
FG02-05ER41368
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Lattice Quantum Field Theory, Spontaneous Symmetry Breaking, Nonper-turbative Effects

Citation Formats

Ayyar, Venkitesh, and Chandrasekharan, Shailesh. Fermion masses through four-fermion condensates. United States: N. p., 2016. Web. doi:10.1007/JHEP10(2016)058.
Ayyar, Venkitesh, & Chandrasekharan, Shailesh. Fermion masses through four-fermion condensates. United States. doi:10.1007/JHEP10(2016)058.
Ayyar, Venkitesh, and Chandrasekharan, Shailesh. Wed . "Fermion masses through four-fermion condensates". United States. doi:10.1007/JHEP10(2016)058. https://www.osti.gov/servlets/purl/1361623.
@article{osti_1361623,
title = {Fermion masses through four-fermion condensates},
author = {Ayyar, Venkitesh and Chandrasekharan, Shailesh},
abstractNote = {Fermion masses can be generated through four-fermion condensates when symmetries prevent fermion bilinear condensates from forming. This less explored mechanism of fermion mass generation is responsible for making four reduced staggered lattice fermions massive at strong couplings in a lattice model with a local four-fermion coupling. The model has a massless fermion phase at weak couplings and a massive fermion phase at strong couplings. In particular there is no spontaneous symmetry breaking of any lattice symmetries in both these phases. Recently it was discovered that in three space-time dimensions there is a direct second order phase transition between the two phases. Here we study the same model in four space-time dimensions and find results consistent with the existence of a narrow intermediate phase with fermion bilinear condensates, that separates the two asymptotic phases by continuous phase transitions.},
doi = {10.1007/JHEP10(2016)058},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}

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Cited by: 6 works
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