scholarly journals On the continuum limit of Landau gauge gluon and ghost propagators in SU(2) lattice gauge gluodynamics

2013 ◽  
Author(s):  
Igor L'vovich Bogolubsky
Keyword(s):  
Continuum Limit ◽  
Landau Gauge ◽  
Lattice Gauge ◽  
The Continuum

scholarly journals SU(2) GLUON PROPAGATOR ON A COARSE ANISOTROPIC LATTICE

2000 ◽  
Vol 15 (37) ◽  
pp. 2245-2256 ◽  
Author(s):  
YING CHEN ◽  
BING HE ◽  
HE LIN ◽  
JI-MIN WU
Keyword(s):  
Continuum Limit ◽  
Anomalous Dimension ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Mass Scale ◽  
Gauge Fixing ◽  
Anisotropic Lattice ◽  
The Continuum

We calculated the SU(2) gluon propagator in Landau gauge on an anisotropic coarse lattice with the improved action. The standard and improved schemes are used to fix the gauge in this work. Even on the coarse lattice the lattice gluon propagator can be well described by a function of the continuous momentum. The effect of the improved gauge fixing scheme is found not to be apparent. Based on the Marenzoni's model, the mass scale and the anomalous dimension are extracted and can be reasonably extrapolated to the continuum limit with the values α~0.3 and M~600 MeV . We also extract the physical anisotropy ξ from the gluon propagator due to the explicit ξ dependence of the gluon propagator.

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 Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

2017 ◽  
Vol 95 (9) ◽  
Author(s):  
Boye Buyens ◽  
Simone Montangero ◽  
Jutho Haegeman ◽  
Frank Verstraete ◽  
Karel Van Acoleyen
Keyword(s):  
Continuum Limit ◽  
Gauge Theories ◽  
Finite Representation ◽  
Lattice Gauge ◽  
Tensor Networks ◽  
Lattice Gauge Theories ◽  
The Continuum

scholarly journals Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization

2016 ◽  
Vol 31 (35) ◽  
pp. 1650192 ◽  
Author(s):  
Sinya Aoki ◽  
Etsuko Itou ◽  
Keitaro Nagata
Keyword(s):  
Pure State ◽  
Continuum Limit ◽  
Gauge Theories ◽  
Entanglement Entropy ◽  
Continuum Theory ◽  
Replica Method ◽  
Pure Gauge ◽  
Lattice Gauge ◽  
Lattice Regularization ◽  
The Continuum

We study the entanglement entropy (EE) for pure gauge theories in 1[Formula: see text]+[Formula: see text]1 dimensions with the lattice regularization. Using the definition of the EE for lattice gauge theories proposed in a previous paper,1 we calculate the EE for arbitrary pure as well as mixed states in terms of eigenstates of the transfer matrix in (1[Formula: see text]+[Formula: see text]1)-dimensional lattice gauge theory. We find that the EE of an arbitrary pure state does not depend on the lattice spacing, thus giving the EE in the continuum limit, and show that the EE for an arbitrary pure state is independent of the real (Minkowski) time evolution. We also explicitly demonstrate the dependence of EE on the gauge fixing at the boundaries between two subspaces, which was pointed out for general cases in the paper. In addition, we calculate the EE at zero as well as finite temperature by the replica method, and show that our result in the continuum limit corresponds to the result obtained before in the continuum theory, with a specific value of the counterterm, which is otherwise arbitrary in the continuum calculation. We confirm the gauge dependence of the EE also for the replica method.

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