TY - JOUR

T1 - Some physics of the two-dimensional N = (2, 2) supersymmetric Yang-Mills theory

T2 - Lattice Monte Carlo study

AU - Kanamori, Issaku

AU - Suzuki, Hiroshi

N1 - Funding Information:
We would like to thank Koji Hashimoto and Daisuke Kadoh for helpful discussions. We thank also the authors of the FermiQCD/MDP [31,32] and of a Remez algorithm code [33] for making their codes available. Our numerical results were obtained using the RIKEN Super Combined Cluster (RSCC). I.K. is supported by the Special Postdoctoral Researchers Program at RIKEN. The work of H.S. is supported in part by a Grant-in-Aid for Scientific Research, 18540305.

PY - 2009/2/23

Y1 - 2009/2/23

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2009.01.039

DO - 10.1016/j.physletb.2009.01.039

M3 - Article

AN - SCOPUS:59349106623

SN - 0370-2693

VL - 672

SP - 307

EP - 311

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

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

IS - 3

ER -