Lattice gauge fields and discrete noncommutative Yang-Mills theory

doi:10.1088/1126-6708/2000/05/023

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Jan Ambjørn et al JHEP05(2000)023 doi:10.1088/1126-6708/2000/05/023

Lattice gauge fields and discrete noncommutative Yang-Mills theory

Jan Ambjørn¹, Yuri M. Makeenko¹, Jun Nishimura¹ and Richard J. Szabo¹

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Journal of High Energy Physics

Lattice gauge fields and discrete noncommutative Yang-Mills theory

The Photon Dispersion as an Indicator for New Physics?

Large N reduction with the twisted Eguchi-Kawai model

Formulation of supersymmetry on a lattice as a representation of a deformed superalgebra

Emergent geometry and gravity from matrix models: an introduction

Quantum group connections

Quantum gravity, field theory and signatures of noncommutative spacetime

Dominance of a single topological sector in gauge theory on non-commutative geometry

Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions

On matrix model formulations of noncommutative Yang-Mills theories

Melvin twists of global AdS5 × S5 and their non-commutative field theory dual

Microscopic formulation of Puff field theory

Probing the fuzzy sphere regularisation in simulations of the 3d λ4 model

The instability of intersecting fuzzy spheres

Phase structure of twisted Eguchi-Kawai model

Duality and braiding in twisted quantum field theory

Probability distribution of the index in gauge theory on 2d non-commutative geometry

Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: a lattice study

Monte Carlo approach to nonperturbative strings—demonstration in noncritical string theory

Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere

The index of the overlap Dirac operator on a discretized 2d non-commutative torus

Cancellation of soft and collinear divergences in noncommutative QED

Admissibility condition and nontrivial indices on a noncommutative torus

Monte Carlo simulation of a NC gauge theory on the fuzzy sphere

A non-perturbative study of 4d U(1) non-commutative gauge theory — the fate of one-loop instability

Dynamical aspects of the fuzzy CP2 in the large N reduced model with a cubic term

Supersymmetric deformations of type IIB matrix model as matrix regularization of = 4 SYM

Coherent states and N dimensional coordinate noncommutativity

Symmetry, gravity and noncommutativity

Regularization of non-commutative SYM by orbifolds with discrete torsion and SL(2,) duality

Morita duality and noncommutative Wilson loops in two dimensions

Perturbative versus nonperturbative dynamics of the fuzzy S2 × S2

Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

The large-N reduction in matrix quantum mechanics — a bridge between BFSS and IKKT —

Bogomolny equations for vortices in the noncommutative torus

Gauge theory on fuzzy S2 × S2 and regularization on noncommutative 4

Perturbative dynamics of fuzzy spheres at large N

de-Sitter space, (D)pp-waves and star-matrix model

S-duality, deconstruction and confinement for a marginal deformation of = 4 SUSY Yang-Mills

Wilson loops in 2D noncommutative euclidean gauge theory 1. Perturbative expansion

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Phase diagram and dispersion relation of the non-commutative λ4 model in d = 3

On the relation between non-commutative field theories at θ = ∞ and large N matrix field theories

Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term

Classical solutions of the TEK model and noncommutative instantons in two dimensions

Loop equation in two-dimensional noncommutative Yang-Mills theory

Exact solution of quantum field theory on noncommutative phase spaces

Automorphisms of associative algebras and noncommutative geometry

The fuzzy disc

Axial anomaly in the reduced model: higher representations

Open Wilson lines and group theory of noncommutative Yang-Mills theory in two dimensions

Supersymmetry on the noncommutative lattice

Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED

Nonlocal field theories and their gravity duals

Non-commutative Principal Chiral Models

Representation of SU(∞) Algebra for Matrix Models

Wilson line correlators in two-dimensional noncommutative Yang-Mills theory

Chiral anomalies in the reduced model

A non-perturbative study of gauge theory on a non-commutative plane

Strong coupling phenomena on the non-commutative plane

Twisted Eguchi-Kawai Reduced Chiral Models

BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field

Deconstructing noncommutativity with a giant fuzzy moose

Dualities in Quantum Hall System and Noncommutative Chern-Simons Theory

Gauge invariant correlators in noncommutative gauge theory

Chern-Simons Theories on the Noncommutative Plane

Noncommutative linear sigma models

Brane World Generated Dynamically from String Type IIB Matrices

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Melvin twists of global AdS₅ × S₅ and their non-commutative field theory dual

Probing the fuzzy sphere regularisation in simulations of the 3d λ⁴ model

Dynamical aspects of the fuzzy CP² in the large N reduced model with a cubic term

Perturbative versus nonperturbative dynamics of the fuzzy S² × S²

Gauge theory on fuzzy S² × S² and regularization on noncommutative ⁴

Phase diagram and dispersion relation of the non-commutative λ⁴ model in d = 3