scholarly journals Symmetric Mass Generation in Lattice Gauge Theory

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2276
Author(s):  
Nouman Butt ◽  
Simon Catterall ◽  
Goksu Can Toga
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Lattice Gauge Theory ◽  
Numerical Results ◽  
Single Site ◽  
Mass Generation ◽  
Dimensional Lattice ◽  
Fermion Operator ◽  
Lattice Gauge ◽  
Mass Terms

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.

scholarly journals Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits

2020 ◽  
Author(s):  
Arata Yamamoto
Keyword(s):  
Gauge Theory ◽  
Real Time ◽  
Degrees Of Freedom ◽  
Quantum Computer ◽  
Lattice Gauge Theory ◽  
Dual Variable ◽  
Dimensional Lattice ◽  
The Real ◽  
Lattice Gauge ◽  
Time Simulation

Abstract We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution. As a demonstration, we simulate the real-time evolution of the system with two static electric charges, i.e., with two temporal Wilson lines. Some results obtained by the simulator (with no hardware noise) and the real device (with sizable hardware noise) of a quantum computer are shown.

Three-dimensional lattice gauge theory and strings

1984 ◽  
Vol 244 (1) ◽  
pp. 262-276 ◽  
Author(s):  
J. Ambjørn ◽  
P. Olesen ◽  
C. Peterson
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Dimensional Lattice ◽  
Lattice Gauge
Sign in / Sign up

Export Citation Format

Share Document