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.

arXiv comment6 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

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Cited by in corpus (17)

• 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
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Progress in four-dimensional lattice supersymmetry
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• Large N reduction for Chern-Simons theory on S^3
• Progress and prospects of lattice supersymmetry
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice studies of supersymmetric gauge theories
• Four-dimensional N=1 super Yang-Mills from matrix model
• Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• SUSY WT identity in a lattice formulation of 2D $\mathcal{N}=(2,2)$ SYM
• Supersymmetric Gauge Theory on the Graph
• Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM
• Remark on the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills