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arXiv · 2509.01403

First Principles Quantization of a Non-Conservative Scalar Field

Kauship Saha·Sandeep Aashish
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Abstract

We present the first-principles quantization of a damped scalar field within the framework of classical action principle of non-conservative systems using doubled dynamical variables. We consider a non-conservative potential term constructed to describe a linear damping of the scalar field for quantization using canonical and path-integral formalisms, and derive the two-point Green's function along with the spectral function, which are consistent with known results from the well-known in-in formalism.

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Kauship Saha, Sandeep Aashish. 2025-09-01. First Principles Quantization of a Non-Conservative Scalar Field. https://arxiv.org/abs/2509.01403

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