# Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model

Source: [Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model](<https://www.sota2.com/research/paper/68fa2a3d1e209131ce83b705>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:24:20.474Z

Authors: K. Konishi

Published: 1996-09-02T08:37:08.000Z

## Abstract

By using the standard perturbation theory we study the mass as well as $\\theta$ parameter dependence of the Seiberg-Witten theory with $SU(2)$ gauge group, supplemented with a $N=1$ supersymmetric as well as a smaller nonsupersymmetric (e.g.) gaugino mass. Confinement persists at all values of the bare vacuum parameter $\\theta\_{ph}$; as it is varied there is however a phase transition at $\\theta\_{ph} =-\\pi, \\pi, 3\\pi, \\ldots$. At these values of $\\theta\_{ph}$ the vacuum is doubly degenerate and CP invariance is spontaneously broken \\\`a la Dashen. Due to the instanton-induced renormalization effect the low energy effective $\\theta$ parameter remains small irrespectively of $\\theta\_{ph}$ as long as the gaugino mass is sufficiently small.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9609021>)

[PDF](<https://arxiv.org/pdf/hep-th/9609021.pdf>)