Some physics of the two-dimensional N = (2, 2) supersymmetric Yang-Mills theory: Lattice Monte Carlo study

Issaku Kanamori, Hiroshi Suzuki

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19 Citations (Scopus)

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 languageEnglish
Pages (from-to)307-311
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume672
Issue number3
DOIs
Publication statusPublished - Feb 23 2009
Externally publishedYes

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Yang-Mills theory
confining
physics
probes
supersymmetry
gauge theory
strings
fermions
scalars
formulations

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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

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AU - Kanamori, Issaku

AU - Suzuki, Hiroshi

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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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