Effective field theory of the classical two-dimensional plasma

Details Effective field theory of the classical two-dimensional plasma Effective field theory of the classical two-dimensional plasma

2004-12-22

arxiv.org/abs/physics/0412147v1

J.Phys.A38:277-292,2005

Physics

Plasma Physics

18 pages, 1 figure

Scientific paper

10.1088/0305-4470/38/1/021

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically divergent in the effective theory. The finite part of the one-loop induced couplings is then explicitly evaluated by matching the density-density correlator in the effective theory and in the full quantum theory. This task is performed from the formulation of the Coulomb problem in momentum space by projecting the two-dimensional momentum space onto the surface of a three-dimensional sphere. We also report some higher order results that, in the case of the one-component plasma immersed in a uniform neutralizing background, are resummed to obtain the complete leading-log partition function.

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