Symmetric mass generation in lattice gauge theory

Nouman Butt; Simon Catterall; Goksu Can Toga

doi:10.3390/sym13122276

Symmetric mass generation in lattice gauge theory

Nouman Butt, Simon Catterall, Goksu Can Toga

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental representation of an SU(2) × SU(2) gauge symmetry. This fermion representation ensures that single-site bilinear mass terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical results that show that a condensate of this operator develops in the vacuum.

Original language	English (US)
Article number	2276
Journal	Symmetry
Volume	13
Issue number	12
DOIs	https://doi.org/10.3390/sym13122276
State	Published - Dec 2021

Keywords

Four-fermion condensate
Lattice gauge theory
Symmetric mass generation

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

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10.3390/sym13122276

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title = "Symmetric mass generation in lattice gauge theory",

abstract = "We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental representation of an SU(2) × SU(2) gauge symmetry. This fermion representation ensures that single-site bilinear mass terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical results that show that a condensate of this operator develops in the vacuum.",

keywords = "Four-fermion condensate, Lattice gauge theory, Symmetric mass generation",

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AU - Toga, Goksu Can

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N2 - We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental representation of an SU(2) × SU(2) gauge symmetry. This fermion representation ensures that single-site bilinear mass terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical results that show that a condensate of this operator develops in the vacuum.

AB - We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental representation of an SU(2) × SU(2) gauge symmetry. This fermion representation ensures that single-site bilinear mass terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical results that show that a condensate of this operator develops in the vacuum.

KW - Four-fermion condensate

KW - Lattice gauge theory

KW - Symmetric mass generation

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Symmetric mass generation in lattice gauge theory

Abstract

Keywords

ASJC Scopus subject areas

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