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Dissipation, noise and vacuum decay in quantum field theory
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We study the process of vacuum decay in quantum field theory focusing on the stochastic aspects of the interaction between long and short-wavelength modes. This interaction results in a diffusive behavior of the reduced Wigner function describing the state of the long-wavelength modes, and thereby to a finite activation rate even at zero temperature. This effect can make a substantial contribution to the total decay rate.
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Cosmological Vacuum Decays from Schwinger-Keldysh Formalism
Tracing out short-wavelength modes in a radiation-dominated FLRW universe gives a non-Markovian, non-Gaussian Langevin equation for the order parameter, with explicitly computed memory and noise kernels.
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