Non-confinement in Three Dimensional Supersymmetric Yang-Mills Theory
Hwang-hyun Kwon (DAMTP, University of Cambridge)
TL;DR
This paper investigates the role of instantons in 3D N=2 supersymmetric SU(2) Yang-Mills theory, concluding that, unlike in some theories, it does not exhibit confinement due to instanton effects.
Contribution
It extends the dilute gas approximation to super-moduli space and analyzes instanton effects to clarify the confinement properties of the theory.
Findings
No confinement in N=2 supersymmetric Yang-Mills theory
Instanton-induced effective action derived
Supports Polyakov's confinement description for related theories
Abstract
The role of instantons in three dimensional N=2 supersymmetric SU(2) Yang-Mills theory is studied, especially in relation to the issue of confinement. The instanton-induced low energy effective action is derived by extending the dilute gas approximation to the super-moduli space of instantons. Following Polyakov's description of confinement in compact U(1) gauge theory, it is argued that there is no confinement in N=2 supersymmetric Yang-Mills theory.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Superconducting Materials and Applications