String tensions of pure gauge theories on a random-block lattice

1992 ◽  
Vol 45 (8) ◽  
pp. 3008-3011
Author(s):  
T. W. Chiu
1990 ◽  
Vol 245 (3-4) ◽  
pp. 570-574 ◽  
Author(s):  
T.W. Chiu

2008 ◽  
Vol 668 (3) ◽  
pp. 226-232 ◽  
Author(s):  
Biagio Lucini ◽  
Gregory Moraitis
Keyword(s):  

1997 ◽  
Vol 12 (28) ◽  
pp. 5141-5149 ◽  
Author(s):  
César Gómez ◽  
Rafael Hernández

We analyze instanton generated superpotentials for three-dimensional N = 2 supersymmetric gauge theories obtained by compactifying on S1 N = 1 four-dimensional theories. For SU(2) with Nf = 1, we find that the vacua in the decompactification limit is given by the singular points of the Coulomb branch of the N = 2 four-dimensional theory (we also consider the massive case). The decompactification limit of the superpotential for pure gauge theories without chiral matter is interpreted in terms of 't Hooft's fractional instanton amplitudes.


2016 ◽  
Vol 31 (35) ◽  
pp. 1650192 ◽  
Author(s):  
Sinya Aoki ◽  
Etsuko Itou ◽  
Keitaro Nagata

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.


1989 ◽  
Vol 217 (1-2) ◽  
pp. 151-156 ◽  
Author(s):  
Ting-Wai Chiu

2012 ◽  
Vol 86 (10) ◽  
Author(s):  
Adrian Dumitru ◽  
Yun Guo ◽  
Yoshimasa Hidaka ◽  
Chris P. Korthals Altes ◽  
Robert D. Pisarski

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