Deformed Bubbles and Lorentz Invariance in Vacuum Decay
Michael Dine, Patrick Draper, and Chang-Soon Park
TL;DR
This paper investigates the impact of Lorentz invariance on vacuum decay, demonstrating that the total decay rate remains finite and Lorentz invariant when including all excitations, addressing previous concerns about infinities.
Contribution
It provides a Minkowski-space analysis showing the finiteness and Lorentz invariance of the vacuum decay rate including excitations, clarifying issues raised in prior debates.
Findings
Total decay rate is finite when including excitations.
Decay rate remains Lorentz invariant.
Addresses concerns about infinities in boosted frames.
Abstract
Recently, questions have been raised about the role of Lorentz invariance in false vacuum decay. It has been argued that infinities may arise in an integration over Lorentz-boosted final states. This suggestion motivates a Minkowski-space analysis of the decay rate. We attempt to illuminate features of the amplitude computation, and argue that the total rate including excitations is both finite and Lorentz invariant.
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