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Effective action of a scalar field in a curved spacetime with a small inhomogeneity

Wung-Hong Huang

Open publisher page 7 citations

Abstract

The effective action of a quantum field in an inhomogeneous spacetime is studied. We extend the Hartle-Hu method, which was developed to investigate the model in a homogeneous spacetime with a small anisotropy, to evaluate the one-loop effective action for a scalar field in a curved spacetime with a small inhomogeneity. Through a rather lengthy calculation we obtain the final expression which is then applied to numerically investigate the quantum-field effect on the dissipation of the space inhomogeneity in the early Universe.

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What this paper is about

The effective action of a quantum field in an inhomogeneous spacetime is studied. We extend the Hartle-Hu method, which was developed to investigate the model in a homogeneous spacetime with a small anisotropy, to evaluate the one-loop effective action for a scalar field in a curved spacetime with a small inhomogeneity. Through a rather lengthy calculation we obtain the final expression which is then applied to numerically investigate the quantum-field effect on the dissipation of the space inhomogeneity in the early Universe.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The effective action of a quantum field in an inhomogeneous spacetime is studied. We extend the Hartle-Hu method, which was developed to investigate the model in a homogeneous spacetime with a small anisotropy, to evaluate the one-loop effective action for a scalar field in a curved spacetime with a small inhomogeneity. Through a rather lengthy calculation we obtain the final expression which is then applied to numerically investigate the quantum-field effect on the dissipation of the space inhomogeneity in the early Universe.

Key concepts: Spacetime, Physics, Quantum field theory in curved spacetime, Effective action, Scalar field, Scalar (mathematics), Action (physics), Classical mechanics

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