Tunneling Potentials for the Tunneling Action: Gauge Invariance
arXiv:2105.07588 · doi:10.1007/JHEP08(2022)138
Abstract
We formulate a procedure to obtain a gauge-invariant tunneling rate at zero temperature using the recently developed tunneling potential approach. This procedure relies on a consistent power counting in gauge coupling and a derivative expansion. The tunneling potential approach, while numerically more efficient than the standard bounce solution method, inherits the gauge-dependence of the latter when naively implemented. Using the Abelian Higgs model, we show how to obtain a tunneling rate whose residual gauge-dependence arises solely from the polynomial approximations adopted in the tunneling potential computation.
arXiv comment12 pages, 8 figures; typos corrected
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