English

First Principles Quantization of a Non-Conservative Scalar Field

High Energy Physics - Theory 2025-09-03 v1

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.

Keywords

Cite

@article{arxiv.2509.01403,
  title  = {First Principles Quantization of a Non-Conservative Scalar Field},
  author = {Kauship Saha and Sandeep Aashish},
  journal= {arXiv preprint arXiv:2509.01403},
  year   = {2025}
}
R2 v1 2026-07-01T05:15:15.326Z