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.

Comments: 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