Instantons and the Ground State of the Massive Schwinger Model
M. B. Paranjape, Robin Ross
TL;DR
This paper investigates the ground state of the massive Schwinger model in 1+1 dimensions, emphasizing the role of instantons in tunneling processes that influence the model's potential landscape.
Contribution
It provides a detailed analysis of instanton effects on the ground state of the massive Schwinger model with compactified space, extending understanding of non-perturbative phenomena.
Findings
Instantons induce tunneling transitions affecting the ground state.
Neglecting fermion-antifermion pairs simplifies the analysis.
The study clarifies the role of instantons in the model's potential.
Abstract
We study the massive Schwinger model, quantum electrodynamics of massive, Dirac fermions, in 1+1 dimensions; with space compactified to a circle. In the limit that transitions to fermion--anti-fermion pairs can be neglected, we study the full ground state. We focus on the effect of instantons which mediate tunnelling transitions in the induced potential for the dynamical degree of freedom in the gauge field.
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