Marginally stable solutions
Pierre van Baal (Instituut-Lorentz, University of Leiden)
TL;DR
This paper investigates the quantum stability of classically marginally stable solutions in SU(2) gauge theory on a torus, extending previous work on constant magnetic field solutions and their classical stability properties.
Contribution
It analyzes the effects of quantum fluctuations on classically marginally stable solutions, providing insights into their stability beyond the classical approximation.
Findings
Quantum fluctuations can destabilize classically marginal solutions.
Classical stability does not necessarily imply quantum stability.
Identification of conditions under which solutions remain stable quantum mechanically.
Abstract
In previous work constant magnetic field strength solutions for SU(2) gauge theory on a torus were found, which somewhat surprisingly turned out to be classically stable. This was called marginal stability, as moving along one of its zero-modes, two of the stable modes turn unstable. Here we investigate the stability under quantum fluctuations in the domain where the solutions possess the marginal stability at the classical level.
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