dorsal/arxiv
View SchemaEffective field theory of the classical two-dimensional plasma
| Authors | Manuel A. Valle Basagoiti |
|---|---|
| Categories | |
| ArXiv ID | physics/0412147 |
| URL | https://arxiv.org/abs/physics/0412147 |
| DOI | 10.1088/0305-4470/38/1/021 |
| Journal | J.Phys.A38:277-292,2005 |
Abstract
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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"abstract": "Using techniques of effective field theory, we consider the thermodynamical\nproperties of a dilute two-dimensional plasma interacting via a $1/r$\npotential. The first one-loop correction to the partition function is already\nlogarithmically divergent in the effective theory. The finite part of the\none-loop induced couplings is then explicitly evaluated by matching the\ndensity-density correlator in the effective theory and in the full quantum\ntheory. This task is performed from the formulation of the Coulomb problem in\nmomentum space by projecting the two-dimensional momentum space onto the\nsurface of a three-dimensional sphere. We also report some higher order results\nthat, in the case of the one-component plasma immersed in a uniform\nneutralizing background, are resummed to obtain the complete leading-log\npartition function.",
"arxiv_id": "physics/0412147",
"authors": [
"Manuel A. Valle Basagoiti"
],
"categories": [
"physics.plasm-ph",
"cond-mat.stat-mech",
"hep-ph"
],
"doi": "10.1088/0305-4470/38/1/021",
"journal_ref": "J.Phys.A38:277-292,2005",
"title": "Effective field theory of the classical two-dimensional plasma",
"url": "https://arxiv.org/abs/physics/0412147"
},
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