Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study

Abstract

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of certain correlation functions (which implies the absence of the mass gap) and the static potential $V(R)$ between probe charges in the fundamental representation, are considered. For the latter, for $R\lesssim 1/g$, we observe a linear confining potential with a finite string tension. This confining behavior appears distinct from a theoretical conjecture that a probe charge in the fundamental representation is screened in two-dimensional gauge theory with an adjoint massless fermion, although the static potential for $R\gtrsim 1/g$ has to be systematically explored to conclude real asymptotic behavior in large distance.

arXiv comment13 pages, 5 figures, uses elsart.cls, the final version to appear in Phys. Lett. B

References in corpus (28)

• Bound States Of Strings And $p$-Branes
• Screening vs. Confinement in 1+1 Dimensions
• Supersymmetry on a Spatial Lattice
• Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Mass Spectra of Supersymmetric Yang-Mills Theories in 1+1 Dimensions
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• The string tension in massive $QC{D}_2$
• DLCQ Bound States of N =(2,2) Super-Yang-Mills at Finite and Large N
• The String Tension in Two Dimensional Gauge Theories
• Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
• Improved results for N=(2,2) super Yang-Mills theory using supersymmetric discrete light-cone quantization
• Screening in Supersymmetric Gauge Theories in Two Dimensions
• Note on massless bosonic states in two-dimensional field theories
• Matrix Distributed Processing: A set of C++ Tools for implementing generic lattice computations on parallel systems
• Advances and applications of lattice supersymmetry
• Spectrum of 4d N=1 SYM on the lattice with light dynamical Wilson gluinos
• Observing dynamical SUSY breaking with lattice simulation
• Dynamical simulation of lattice 4d N=1 SYM

Cited by in corpus (19)

• Extracting black hole physics from the lattice
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Progress in four-dimensional lattice supersymmetry
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• Progress and prospects of lattice supersymmetry
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice studies of supersymmetric gauge theories
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Fermion Actions extracted from Lattice Super Yang-Mills Theories
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• SUSY WT identity in a lattice formulation of 2D $\mathcal{N}=(2,2)$ SYM
• Supersymmetric Gauge Theory on the Graph
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills