Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory

Abstract

We measure the vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory using lattice simulation. The obtained vacuum energy density is E_0=0.09(9)(+10-8) g^2, where the first error is the systematic and the second is the statistical one, measured in the dimensionful gauge coupling g which governs the scale of the system. The result is consistent with unbroken supersymmetry, although we cannot exclude a possible very small non-zero vacuum energy.

6 pages, 6 figures; v2, a reference added, typos corrected; v3, discussion on treatment of Pfaffian is extended (3 figures added), explanation on treatment of the scalar mass is improved, introduction is extended, references are added. To appear PRD

References in corpus (12)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• 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
• Observing dynamical supersymmetry breaking with euclidean lattice simulations
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• Lattice four-dimensional N=4 SYM is practical
• First results from simulations of supersymmetric lattices
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study

Cited by in corpus (7)

• 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
• Large N reduction for Chern-Simons theory on S^3
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice studies of supersymmetric gauge theories
• Supersymmetric Gauge Theory on the Graph
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills