A damped scalar field is quantized via doubled variables; the path-integral propagators match in-in results, but the canonical quantization has an internal inconsistency.
Quantum dissipative effects in moving mirrors: a functional approach
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abstract
We use a functional approach to study various aspects of the quantum effective dynamics of moving, planar, dispersive mirrors, coupled to scalar or Dirac fields, in different numbers of dimensions. We first compute the Euclidean effective action, and use it to derive the imaginary part of the `in-out' effective action. We also obtain, for the case of the real scalar field in 1+1 dimensions, the Schwinger-Keldysh effective action and a semiclassical Langevin equation that describes the motion of the mirror including noise and dissipative effects due to its coupling to the quantum fields.
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First Principles Quantization of a Non-Conservative Scalar Field
A damped scalar field is quantized via doubled variables; the path-integral propagators match in-in results, but the canonical quantization has an internal inconsistency.