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.
Supersymmetric non conservative systems
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We give the generalization of a recent variational formulation for nonconservative classical mechanics, for fermionic and sypersymmetric systems. Both cases require slightly modified boundary conditions. The supersymmetric version is given in the superfield formalism. The corresponding Noether theorem is formulated. As expected, like the energy, the supersymmetric charges are not conserved.
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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.