Fig. 2: Graphical representation of 2D LGT degrees of freedom.
From: Tensor networks for lattice gauge theories beyond one dimension
fermionic matter fields \({\hat{\psi }}_{{{{{\bf{x}}}}},\alpha }\), defined on lattice sites, and gauge fields (the parallel transporter, \({\hat{U}}_{{{{{\bf{x}}}}},{{{{\boldsymbol{\mu }}}}}}^{\alpha \beta }\), and the chromo-electric fields, \({\hat{L}}_{{{{{\bf{x}}}}},{{{{\boldsymbol{\mu }}}}}}^{\nu }\) and \({\hat{R}}_{{{{{\bf{x}}}}},{{{{\boldsymbol{\mu }}}}}}^{\nu }\)), living on lattice links. A local gauge transformation at x acts on a matter site and all its attached links.
