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Finite-Temperature Instantons from First Principles
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We derive the finite-temperature quantum-tunneling rate from first principles. The rate depends on both real- and imaginary-time; we demonstrate that the relevant instantons should therefore be defined on a Schwinger-Keldysh contour, and how the familiar Euclidean-time result arises from it in the limit of large physical times. We generalize previous results for general initial states, and identify distinct behavior in the high- and low-temperature limits, incorporating effects from background fields. We construct a consistent perturbative scheme that incorporates large finite-temperature effects.
Forward citations
Cited by 2 Pith papers
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Quantum field nucleating and Wigner functions
The one-loop over-the-barrier nucleation rate in a thermal QFT is Affleck’s formula generalized to fields, not Linde’s, and still carries quantum prefactor effects even when the bounce is classically symmetric.
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Path integral analysis of Schr\"odinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states
Path integrals on complex contours that terminate in prescribed Stokes sectors yield spectral formulas for resonant energies, explaining why the instanton bounce calculation and real-time decay rates agree.
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