Exact Zero Vacuum Energy in twisted SU(N) Principal Chiral Field
Sebastien Leurent, Evgeny Sobko
TL;DR
This paper derives exact equations for the twisted SU(N) principal chiral field model, showing that at a special twist the vacuum energy is exactly zero regardless of system size, and provides numerical results for the SU(2) case.
Contribution
It introduces a finite set of equations for the twisted PCF model and proves the vacuum energy is exactly zero at a specific twist, a novel analytical result.
Findings
Vacuum energy is exactly zero at a special twist for all sizes L.
Numerical calculation of single particle energy in SU(2) case as a function of L.
Derived finite set of equations for twisted PCF model.
Abstract
We present a finite set of equations for twisted PCF model. At the special twist in the root of unity we demonstrate that the vacuum energy is exactly zero at any size L. Also in SU(2) case we numerically calculate the energy of the single particle state with zero rapidity, as a function of L.
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