Variational quantum electrodynamics
Abstract
A variational method is discussed, based on the principle of minimal variance. The method seems to be suited for gauge interacting fermions, and the simple case of quantum electrodynamics is discussed in detail. The issue of renormalization is addressed, and the renormalized propagators are shown to be the solution of a set of finite integral equations. The method is proven to be viable, and, by a spectral representation, the multidimensional integral equations are recast in onedimensional equations for the spectral weights. The UV divergences are subtracted exactly, yielding a set of coupled Volterra integral equations that can be solved iteratively and are known to have a unique solution.
 Publication:

Physical Review D
 Pub Date:
 January 2014
 DOI:
 10.1103/PhysRevD.89.025005
 arXiv:
 arXiv:1308.2913
 Bibcode:
 2014PhRvD..89b5005S
 Keywords:

 11.10.Ef;
 11.15.Tk;
 12.20.m;
 Lagrangian and Hamiltonian approach;
 Other nonperturbative techniques;
 Quantum electrodynamics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 In Section II the method of arXiv:1308.1836 is reviewed and used for QED