World-Line Path Integral Study of Supersymmetry Breaking in the Wess-Zumino Model
Matteo Beccaria, Carlo Rampino
TL;DR
This paper investigates supersymmetry breaking in the lattice N=1 Wess-Zumino model using a world-line path integral approach, analyzing ground state energy, Ward identities, and topological charge fluctuations to understand symmetry breaking.
Contribution
It introduces a world-line path integral algorithm to study supersymmetry breaking in the lattice Wess-Zumino model, providing new insights into finite volume effects and topological fluctuations.
Findings
Support for supersymmetry breaking in finite volume
Analysis of topological charge fluctuations
Relation to infinite volume transition
Abstract
We study supersymmetry breaking in the lattice N=1 Wess-Zumino model by the world-line path integral algorithm. The ground state energy and supersymmetric Ward identities are exploited to support the expected symmetry breaking in finite volume. Non-Gaussian fluctuations of the topological charge are discussed and related to the infinite volume transition.
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