## Abstract

We illustrate some physical application of a lattice formulation of the two-dimensional 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 ≲ 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 ≳ 1 / g has to be systematically explored to conclude real asymptotic behavior in large distance.

Original language | English |
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Pages (from-to) | 307-311 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 672 |

Issue number | 3 |

DOIs | |

Publication status | Published - Feb 23 2009 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics