Effective field theory of the classical two-dimensional plasma

Effective field theory of the classical two-dimensional plasma

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...

Effective Field Theory Dimensional Regularization

A Lorentz-covariant regularization scheme for effective field theories with an arbitrary number of propagating heavy and light particles is given. This regularization scheme leaves the low-energy analytic structure of Greens functions intact and preserves all the symmetries of the underlying Lagrangian. The power divergences of regularized loop integrals are controlled by the low-energy kinemat...

Effective Field Theory for Quasi - Classical Plasmas

We examine the equilibrium properties of hot, dilute, non-relativistic plasmas. The partition function and density correlation functions of a classical plasma with several species are expressed in terms of a functional integral over electrostatic potential distributions. This is a convenient formulation for performing a well-defined perturbative expansion. The leading order, field-theoretic tre...

Two Dimensional Effective Field Theory from Bagger-Lambert-Gustavsson Model

We study the Bagger-Lambert-Gustavsson model on M1,1 × S1. In the low energy limit we obtain a new two dimensional effective field theory with a Lie 3-algebra structure. By compactification, the three dimensional Chern-Simons potential generates two dynamical fields: an SO(1, 1) scalar and a vector field, respectively, which are valued in the set of the endomorphisms of the Lie 3-algebra. In th...

On the classical two-dimensional one-component Coulomb plasma