Related papers: Toward Quantization of Inhomogeneous Field Theory

Toward Quantization of Inhomogeneous Field Theory

URL: http://arxiv.org/abs/2206.13210v2
Date: Tue, 5 Jul 2022 05:48:59 GMT
Title: Toward Quantization of Inhomogeneous Field Theory
Authors: Jeongwon Ho, O-Kab Kwon, Sang-A Park, Sang-Heon Yi
Abstract summary: We show the classical equivalence between an inhomogeneous scalar field theory and a scalar field theory on curved spacetime background. We propose how to quantize a specific field theory with broken Poincar'e symmetry inspired by standard field theoretic approaches.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We explore the quantization of a $(1+1)$-dimensional inhomogeneous scalar field theory in which Poincar\'{e} symmetry is explicitly broken. We show the classical equivalence between an inhomogeneous scalar field theory and a scalar field theory on curved spacetime background. This implies that a hidden connection may exist among some inhomogeneous field theories, which corresponds to general covariance in field theory on curved spacetime. Based on the classical equivalence, we propose how to quantize a specific field theory with broken Poincar\'{e} symmetry inspired by standard field theoretic approaches, canonical and algebraic methods, on curved spacetime. Consequently, we show that the Unruh effect can be realized in inhomogeneous field theory and propose that it may be tested by a condensed matter experiment. We suggest that an algebraic approach is appropriate for the quantization of a generic inhomogeneous field theory.

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