Quadratic Effective Action for QED in D=2,3 Dimensions
Abstract
We calculate the effective action for Quantum Electrodynamics (QED) in D=2,3 dimensions at the quadratic approximation in the gauge fields. We analyse the analytic structure of the corresponding nonlocal boson propagators nonperturbatively in k/m. In two dimensions for any nonzero fermion mass, we end up with one massless pole for the gauge boson . We also calculate in D=2 the effective potential between two static charges separated by a distance L and find it to be a linearly increasing function of L in agreement with the bosonized theory (massive Sine-Gordon model). In three dimensions we find nonperturbatively in k/m one massive pole in the effective bosonic action leading to screening. Fitting the numerical results we derive a simple expression for the functional dependence of the boson mass upon the dimensionless parameter e^{2}/m .
Cite
@article{arxiv.hep-th/9912269,
title = {Quadratic Effective Action for QED in D=2,3 Dimensions},
author = {D. Dalmazi and A. de Souza Dutra and Marcelo Hott},
journal= {arXiv preprint arXiv:hep-th/9912269},
year = {2009}
}
Comments
10 pages, 2 figures