Effects of a fundamental mass term in two-dimensional super Yang-Mills theory
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Date
2009-09-04
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American Physical Society
Abstract
We show that adding a vacuum expectation value to a gauge field left over from a dimensional reduction of three-dimensional pure supersymmetric Yang-Mills theory generates mass terms for the fundamental fields in the two-dimensional theory while supersymmetry stays intact. This is similar to the adjoint mass term that is generated by a Chern-Simons term in this theory. We study the spectrum of the two-dimensional theory as a function of the vacuum expectation value and of the Chern-Simons coupling. Apart from some symmetry issues a straightforward picture arises. We show that at least one massless state exists if the Chern-Simons coupling vanishes. The numerical spectrum separates into (almost) massless and very heavy states as the Chern-Simons coupling grows. We present evidence that the gap survives the continuum limit. We display structure functions and other properties of some of the bound states.
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Uwe Trittmann, Stephen S. Pinsky, "Effects of a fundamental mass term in two-dimensional super Yang-Mills theory," Physical Review D 80, no. 6 (2009), doi:10.1103/PhysRevD.80.065005