scholarly journals Effective matrix model for deconfinement in pure gauge theories

2012 ◽  
Vol 86 (10) ◽  
Author(s):  
Adrian Dumitru ◽  
Yun Guo ◽  
Yoshimasa Hidaka ◽  
Chris P. Korthals Altes ◽  
Robert D. Pisarski
Keyword(s):  
Matrix Model ◽  
Gauge Theories ◽  
Pure Gauge ◽  
Effective Matrix

scholarly journals The running of the coupling in SU(N) pure gauge theories

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

scholarly journals M and F Theory Instantons, N = 1 Supersymmetry and Fractional Topological Charge

1997 ◽  
Vol 12 (28) ◽  
pp. 5141-5149 ◽  
Author(s):  
César Gómez ◽  
Rafael Hernández
Keyword(s):  
Topological Charge ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Singular Points ◽  
Coulomb Branch ◽  
Supersymmetric Gauge Theories ◽  
Dimensional Theory ◽  
Pure Gauge ◽  
Supersymmetric Gauge

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.

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.

scholarly journals EFFECTIVE SUPERPOTENTIALS FOR SO/Sp WITH FLAVOR FROM MATRIX MODELS

2003 ◽  
Vol 18 (16) ◽  
pp. 1113-1126 ◽  
Author(s):  
YUTAKA OOKOUCHI ◽  
YOSHIYUKI WATABIKI
Keyword(s):  
Matrix Models ◽  
Matrix Model ◽  
Gauge Theories ◽  
Tree Level ◽  
Arbitrary Tree

We study matrix models related to SO/Sp gauge theories with flavors. We give the effective superpotentials for gauge theories with arbitrary tree level superpotential up to first instanton level. For quartic tree level superpotential, we obtained exact one-cut solution. We also derive Seiberg–Witten curve for these gauge theories from matrix model argument.

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