scholarly journals A complete lattice technicolor model

2014 ◽  
Vol 29 (25) ◽  
pp. 1445002
Author(s):  
Simon Catterall ◽  
Aarti Veernala
Keyword(s):  
Lattice Theory ◽  
Lattice Spacing ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Broken Symmetry ◽  
Gauge Fields ◽  
Lattice Gauge ◽  
Technicolor Model ◽  
Weakly Coupled ◽  
The Continuum

We construct a lattice gauge theory using reduced staggered fermions and gauge fields which provides a nonperturbative realization of a complete technicolor model; one which treats both strong and weakly coupled gauge sectors on an equal footing. We show that the model is capable of developing a Higgs phase at nonzero lattice spacing via the formation of fermion condensates. We show further that while the broken symmetry associated with this phase has a vector character in the lattice theory it is realized as an axial symmetry in the continuum limit in agreement with the Vafa–Witten theorem. We discuss our result in the context of universality.

scholarly journals On the continuum limit of gauge-fixed compact U(1) lattice gauge theory

2004 ◽  
Vol 580 (3-4) ◽  
pp. 209-215 ◽  
Author(s):  
Subhasish Basak ◽  
Asit K De ◽  
Tilak Sinha
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
The Continuum

scholarly journals Lattice gauge theory and gluon color-confinement in curved spacetime

2015 ◽  
Vol 30 (05) ◽  
pp. 1550020 ◽  
Author(s):  
Kristian Hauser Villegas ◽  
Jose Perico Esguerra
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Covariant Form ◽  
Curved Spacetime ◽  
Color Confinement ◽  
Lattice Gauge ◽  
Frw Metric ◽  
Generally Covariant ◽  
The Continuum

The lattice gauge theory (LGT) for curved spacetime is formulated. A discretized action is derived for both gluon and quark fields which reduces to the generally covariant form in the continuum limit. Using the Wilson action, it is shown analytically that for a general curved spacetime background, two propagating gluons are always color-confined. The fermion-doubling problem is discussed in the specific case of Friedman–Robertson–Walker (FRW) metric. Last, we discussed possible future numerical implementation of lattice QCD in curved spacetime.

scholarly journals Dirac strings and monopoles in the continuum limit of SU(2) lattice gauge theory

2001 ◽  
Vol 592 (1-2) ◽  
pp. 107-128 ◽  
Author(s):  
M.N. Chernodub ◽  
F.V. Gubarev ◽  
M.I. Polikarpov ◽  
V.I. Zakharov
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
The Continuum

Erratum: Lattice gauge theory calculations in 1 + 1 dimensions and the approach to the continuum limit

1976 ◽  
Vol 14 (6) ◽  
pp. 1729-1729 ◽  
Author(s):  
Allen Carroll ◽  
John Kogut ◽  
D. K. Sinclair ◽  
Leonard Susskind
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
The Continuum

On the continuum limit of a Z4 lattice gauge theory

1984 ◽  
Vol 134 (1-2) ◽  
pp. 99-104 ◽  
Author(s):  
A. Peña ◽  
M. Socolovsky
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
The Continuum

scholarly journals The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Andreas Athenodorou ◽  
Michael Teper
Keyword(s):  
Gauge Theory ◽  
Continuum Limit ◽  
Lattice Gauge Theory ◽  
Rotation Group ◽  
String Tension ◽  
Energy Scale ◽  
Lattice Gauge ◽  
Glueball Spectrum ◽  
Do So ◽  
The Continuum

Abstract We calculate the low-lying glueball spectrum of the SU(3) lattice gauge theory in 3 + 1 dimensions for the range β ≤ 6.50 using the standard plaquette action. We do so for states in all the representations R of the cubic rotation group, and for both values of parity P and charge conjugation C . We extrapolate these results to the continuum limit of the theory using the confining string tension σ as our energy scale. We also present our results in units of the r0 scale and, from that, in terms of physical ‘GeV’ units. For a number of these states we are able to identify their continuum spins J with very little ambiguity. We also calculate the topological charge Q of the lattice gauge fields so as to show that we have sufficient ergodicity throughout our range of β, and we calculate the multiplicative renormalisation of Q as a function of β. We also obtain the continuum limit of the SU(3) topological susceptibility.

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