Work

Theory of Casimir forces: A unified approach using finite-temperature field theory

Year: 2025

Type: article

Abstract: We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta’s finite-temperature field theory, combined with the Faddeev–Popov ghost formalism. This approach allows us to calculate Casimir forces at finite temperatures, providing both previously known and new physical insights from a unified perspective. Furthermore, our method enables us to compute the stress tensor associated with Casimir forces, in accordance with the Helmholtz free energy of an equilibrium quantum electromagnetic field. Using this method, we calculate the tangential pressure in a slit-like pore due to the Casimir effect.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0271407

Authors: Petr E. Brandyshev, Yury A. Budkov

Institutions: National Research University Higher School of Economics, Institute of Solution Chemistry

Language: English

Topic: Quantum Electrodynamics and Casimir Effect

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G2556310681