scholarly journals U (1) lattice gauge theory andN = 2 supersymmetric Yang-Mills theory

1999 ◽  
Vol 47 (1-3) ◽  
pp. 287-292 ◽  
Author(s):  
Jan Ambjørn ◽  
Domènec Espriu ◽  
Naoki Sasakura
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Yang Mills ◽  
Lattice Gauge

scholarly journals U(1) Lattice Gauge Theory and N=2 Supersymmetric Yang–Mills Theory

1997 ◽  
Vol 12 (35) ◽  
pp. 2665-2681 ◽  
Author(s):  
Jan Ambjørn ◽  
Naoki Sasakura ◽  
Domènec Espriu
Keyword(s):  
Gauge Theory ◽  
Computer Simulations ◽  
Lattice Gauge Theory ◽  
Critical Mass ◽  
Point Of View ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Mass Exponents

We discuss the physics of four-dimensional compact U(1) lattice gauge theory from the point of view of softly broken N=2 supersymmetric SU(2) Yang–Mills theory. We provide arguments in favor of (pseudo-)critical mass exponents 1/3, 5/11 and 1/2, in agreement with the values observed in the computer simulations. We also show that the J CP assignment of some of the lowest lying states can be naturally explained.

Gauge/gravity duality — From lattice gauge theory to black hole

2017 ◽  
Vol 32 (36) ◽  
pp. 1747018 ◽  
Author(s):  
Daisuke Kadoh
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality

The duality conjecture states that [Formula: see text]-dimensional maximally supersymmetric Yang–Mills theory at finite temperature is expected to be dual to the non extremal black [Formula: see text]-brane at large N. We perform the lattice simulations of SYM for [Formula: see text] to investigate the validity of the conjecture. We show that the conjecture is qualitatively valid by comparing lattice results of the black [Formula: see text]-branes mass with analytic expectations in the gravity side.

scholarly journals Ergodicity of the LLR method for the Density of States

2018 ◽  
Vol 175 ◽  
pp. 02005 ◽  
Author(s):  
Guido Cossu ◽  
Biagio Lucini ◽  
Roberto Pellegrini ◽  
Antonio Rago
Keyword(s):  
Gauge Theory ◽  
Density Of States ◽  
Lattice Gauge Theory ◽  
Replica Exchange ◽  
Exchange Method ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Replica Exchange Method ◽  
Novel Algorithm ◽  
Freeze Out

The LLR method is a novel algorithm that enables us to evaluate the density of states in lattice gauge theory. We present our study of the ergodicity properties of the LLR algorithm for the model of Yang Mills SU(3). We show that the use of the replica exchange method alleviates significantly the topological freeze-out that severely affects other algorithms.

COMPACTIFICATION OF SPACE-TIME DIMENSIONS IN LATTICE GAUGE THEORY

1988 ◽  
Vol 03 (06) ◽  
pp. 1423-1434 ◽  
Author(s):  
C.B. LANG ◽  
M. PILCH ◽  
B.-S. SKAGERSTAM
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Continuum Theory ◽  
Scalar Fields ◽  
Effective Theory ◽  
Tree Level ◽  
Yang Mills ◽  
Lattice Gauge ◽  
First Order Phase Transition ◽  
First Order Phase

The pure SU(2) Yang-Mills gauge field theory is studied in D=5 Euclidean dimensions in which case the continuum theory is nonrenormalizable. By a compactification of one dimension the effective theory, on the tree level, is equivalent to a D=4 SU(2) gauge theory with adjoint scalar fields. In a Monte Carlo (MC) simulation of the lattice regularized theory we confirm the existence of a first order phase transition; on asymmetric lattices we also find a higher order phase “finite temperature” transition. It is argued that the low energy continuum limit of the compactified theory nonperturbatively agrees with the renormalizable adjoint Higgs model in D=4 in the unbroken, confining phase.

DOES THE YANG-MILLS THEORY SOLVE THE STRONG CP PROBLEM BY ITSELF?

1992 ◽  
Vol 07 (22) ◽  
pp. 2007-2016 ◽  
Author(s):  
STUART SAMUEL
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Natural Solution

If certain long-ranged interactions between instantons are present, the θ parameter relaxes to zero. The question is raised as to whether this can happen in Yang-Mills theory thereby leading to a natural solution of the strong CP problem. A lattice gauge theory simulation is proposed to decide the issue.

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