Correspondence between Thermal and Quantum Vacuum Transitions around Horizons

Abstract

Recently, there are comparable revised interests in bubble nucleation seeded by black holes. However, it is debated in the literature that whether one shall interpret a static bounce solution in the Euclidean Schwarzschild spacetime (with periodic Euclidean Schwarzschild time) as describing a false vacuum decay at zero temperature or at finite temperature. In this paper, we show a correspondence that the static bounce solution describes either a thermal transition of vacuum in the static region outside of a Schwarzschild black hole or a quantum transition in a maximally extended Kruskal-Szekeres spacetime, corresponding to the viewpoint of the external static observers or the freely falling observers, respectively. The Matsubara modes in the thermal interpretation can be mapped to the circular harmonic modes from an $O(2)$ symmetry in the tunneling interpretation. The complementary tunneling interpretation must be given in the Kruskal-Szekeres spacetime because of the so-called thermofield dynamics. This correspondence is general for bubble nucleation around horizons. We propose a new paradox related to black holes as a consequence of this correspondence.

arXiv comment26 pages; v2: typos corrected; v3: references added, discussion on AdS black holes added, to match the published version; v4(v5): Ref [37] updated, footnote [10] added v6: two typos corrected

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Cited by in corpus (10)

• Effective field theory approach to thermal bubble nucleation
• Functional methods for false vacuum decay in real time
• Black hole induced false vacuum decay from first principles
• Black hole induced false vacuum decay: The role of greybody factors
• Black Holes, Oscillating Instantons, and the Hawking-Moss transition
• On thermal false vacuum decay around black holes
• False vacuum decay rates, more precisely
• False vacuum decay in a two-dimensional black hole spacetime
• Instability of bubble expansion at zero temperature
• Proposal of a computational approach for simulating thermal bosonic fields in phase space