scholarly journals A continuum limit of the chiral Jacobian in lattice gauge theory

1999 ◽  
Vol 546 (1-2) ◽  
pp. 480-494 ◽  
Author(s):  
Kazuo Fujikawa
2004 ◽  
Vol 580 (3-4) ◽  
pp. 209-215 ◽  
Author(s):  
Subhasish Basak ◽  
Asit K De ◽  
Tilak Sinha

2015 ◽  
Vol 30 (05) ◽  
pp. 1550020 ◽  
Author(s):  
Kristian Hauser Villegas ◽  
Jose Perico Esguerra

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.


2001 ◽  
Vol 592 (1-2) ◽  
pp. 107-128 ◽  
Author(s):  
M.N. Chernodub ◽  
F.V. Gubarev ◽  
M.I. Polikarpov ◽  
V.I. Zakharov

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