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.
Bateman, Physical Review38, 815–819 (1931)
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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.