False vacuum decay in triamond lattice gauge theory

• URL: http://arxiv.org/abs/2503.01119v1
• Date: Mon, 03 Mar 2025 02:56:30 GMT
• Title: False vacuum decay in triamond lattice gauge theory
• Abstract summary: transition from a false vacuum to the true vacuum is a real-time phenomenon of interest in many contexts.<n>To attain real-time phenomena, Hamiltonian lattice methods are being developed for quantum computers.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The transition from a false vacuum to the true vacuum is a real-time phenomenon of interest in many contexts. It represents a special challenge for strongly interacting non-Abelian gauge theories because standard spacetime lattices incorporate imaginary time from the outset. To attain real-time phenomena, Hamiltonian lattice methods are being developed for quantum computers. The present work considers SU(2) gauge theory on a minimal lattice in three spatial dimensions, where round-the-world strings called torelons can travel and interact. This minimal 3D lattice has a triamond structure whose properties are elucidated by calculating the spectrum of torelon states. Then, by introducing a twisted boundary condition, real-time evolution is used to demonstrate the decay of a false vacuum. Calculations in the present work are done on classical computers except for one benchmark study of imaginary time evolution that ran on the ibm_brisbane quantum computer.

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