Renormalization-group approach to the dynamical Casimir effect

Diego A. R. Dalvit and Francisco D. Mazzitelli
Phys. Rev. A 57, 2113 – Published 1 March 1998
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Abstract

In this paper we study the one-dimensional dynamical Casimir effect. We consider a one-dimensional cavity formed by two mirrors, one of which performs an oscillatory motion with a frequency resonant with the cavity. The naive solution, perturbative in powers of the amplitude, contains secular terms. Therefore it is valid only in the short time limit. Using a renormalization-group technique to resum these terms, we obtain an improved analytical solution which is valid for longer times. We discuss the generation of peaks in the density energy profile and show that the total energy inside the cavity increases exponentially.

  • Received 20 October 1997

DOI:https://doi.org/10.1103/PhysRevA.57.2113

©1998 American Physical Society

Authors & Affiliations

Diego A. R. Dalvit* and Francisco D. Mazzitelli

  • Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina

  • *Electronic address: dalvit@df.uba.ar
  • Electronic address: fmazzi@df.uba.ar

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Vol. 57, Iss. 3 — March 1998

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