Electric-field correlations in quantum charged fluids coupled to the radiation field

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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10 pages. Title changed. Minor modifications, including a better justification of eq.(8)

Scientific paper

10.1103/PhysRevE.74.052103

In a recent paper [S.El Boustani, P.R.Buenzli, and Ph.A.Martin, Phys.Rev. E 73, 036113 (2006) cond-mat/0511537], about quantum charges in equilibrium with radiation, among other things the asymptotic form of the electric-field correlation has been obtained by a microscopic calculation. It has been found that this correlation has a long-range algebraic decay (except in the classical limit). The macroscopic approach, in the Course of Theoretical Physics of Landau and Lifshitz, gives no such long-range algebraic decay. In this Brief Report, we revisit and complete the macroscopic approach of Landau and Lifshitz, we confirm their result, and suggest that, perhaps, the use of a classical electromagnetic field by El Boustani et al. was not justified.

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