Divergences in the vacuum energy for frequency-dependent interactions

Journal Article · Sun Mar 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.065016· OSTI ID:21266400

Vassilevich, D V ^[1]

---

1. CMCC, Universidade Federal do ABC, Santo Andre, SP, Brazil, and Department of Theoretical Physics, St. Petersburg University, St. Petersburg (Russian Federation)

We propose a method for determining ultraviolet divergences in the vacuum energy for systems whose spectrum of perturbations is defined through a nonlinear spectrum problem, i.e., when the fluctuation operator itself depends on the frequency. The method is applied to the plasma shell model, which describes some properties of the interaction of electromagnetic field with fullerenes. We formulate a scalar model, which simplifies the matrix structure, but keeps the frequency dependence of the plasma shell, and calculate the ultraviolet divergences in the case when the plasma sheet is slightly curved. The divergent terms are expressed in terms of surface integrals of corresponding invariants.

• OSTI ID: 21266400
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 6; Other Information: DOI: 10.1103/PhysRevD.79.065016; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTURBANCES
ELECTROMAGNETIC FIELDS
FLUCTUATIONS
FREQUENCY DEPENDENCE
FULLERENES
INTERACTIONS
NONLINEAR PROBLEMS
PERTURBATION THEORY
PLASMA
PLASMA SHEET
SHELL MODELS
SIMULATION
SPECTRA
SURFACES
ULTRAVIOLET DIVERGENCES