Canonical simulations of supersymmetric SU(N) Yang-Mills quantum mechanics
Georg Bergner, Hang Liu, Urs Wenger
TL;DR
This paper explores numerical methods for analyzing supersymmetric SU(N) Yang-Mills quantum mechanics by separating partition functions into canonical sectors, addressing challenges like fermionic sign issues and flat directions.
Contribution
It introduces strategies to utilize the fermion loop formulation for studying canonical sectors in supersymmetric quantum mechanics derived from dimensional reduction.
Findings
Numerical results for canonical sectors with fixed fermion numbers.
Discussion of sign problems caused by fermionic contributions.
Analysis of flat directions impacting simulations.
Abstract
The fermion loop formulation naturally separates partition functions into their canonical sectors. Here we discuss various strategies to make use of this for supersymmetric SU(N) Yang-Mills quantum mechanics obtained from dimensional reduction in various dimensions and present numerical results for the separate canonical sectors with fixed fermion numbers. We comment on potential problems due to the sign of the contributions from the fermions and due to flat directions.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Particle physics theoretical and experimental studies