https://doi.org/10.1140/epjc/s10052-026-15282-2
Regular Article - Theoretical Physics
First principles quantization of a non-conservative scalar field
1
Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
2
Department of Physics, Indian Institute of Technology Patna, 801106, Patna, Bihar, India
a
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Received:
16
September
2025
Accepted:
29
December
2025
Published online:
20
January
2026
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.
© The Author(s) 2026
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