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.
Alternative Frenkel liquid Lagrangian
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abstract
Based on the Caldirola-Canai approach, we endeavor to propose a dissipative scalar field theory in Minkowski space-time. We present its free particle solutions for complex $\omega^\mu$ components, and we find three profiles of dispersion relations, two of them support gapped momentum states. We also present an alternative view of this model, where dissipation acts as a geometric effect, and an effective negative scalar curvature space-time emerges. Finally, we illustrate how the present model could be adapted to describe shear waves in Frenkel liquids.
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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.