Loop Action for Lattice U(1) Gauge Theory

Abstract

It is showed that the very recently introduced Lagrangian $loop$ formulation of the lattice Maxwell theory is equivalent to the Villain form in 2+1 dimensions. A transparent description of the classical $loop$ action is given in pure geometrical terms for the $2+1$ and $3+1$ dimensional cases.

Cited by in corpus (5)

• The Lagrangian Loop Representation of Lattice U(1) Gauge Theory
• The Path Integral for the Loop Representation of Lattice Gauge Theories
• Matter Fields in the Lagrangian Loop Representation: Scalar QED
• Classical Loop Actions of Gauge Theories
• SU(2) QCD in the Path Representation: General Formalism and Mandelstam Indentities