Modified Abelian and SU(2) Wilson theories on a lattice from a non-compact regularization

Abstract

Multiflavor gauge theories of matter systems on a three-dimensional lattice have recently been widely investigated especially in connection with a possible symmetry enlargement at a continuous phase transition. Abelian models were studied both with compact gauge fields and in a mixed formulation in which the coupling with matter fields is in compact form while the gauge fields Lagrangian is written in terms of noncompact gauge fields, getting quite different results. Such a mixed formulation is not permissible for non-Abelian theories, for which however there exists an entirely noncompact formulation (in which exact gauge invariance is enforced by help of auxiliary fields), which for SU(2) was shown to yield in the scaling window a larger physical volume than Wilson's one. The corresponding U(1) noncompact regularization is derived in the present work. In both Abelian and SU(2) cases there is only one auxiliary field that for a large mass has a linear coupling with the other fields and it can be integrated out yielding a negative definite correction. The coupling with the auxiliary field might make the inversion of the fermion matrix easier.

arXiv comment11 pages; a new section (sec. V) added; match the published version

References in corpus (35)

• Perfect lattice action for asymptotically free theories
• Asymptotic safety guaranteed
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Is there a Landau Pole Problem in QED?
• Gauge theory for the cuprates near optimal doping
• Finite-size scaling at first-order quantum transitions
• Lattice Abelian-Higgs model with noncompact gauge fields
• Phase Structure of d=2+1 Compact Lattice Gauge Theories and the Transition from Mott Insulator to Fractionalized Insulator
• Multicomponent compact Abelian-Higgs lattice models
• Three-dimensional ferromagnetic CP(N-1) models
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Percolation of Vortices in the 3D Abelian Lattice Higgs Model
• Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
• The compact Q=2 Abelian Higgs model in the London limit: vortex-monopole chains and the photon propagator
• Large-N behavior of three-dimensional lattice CP(N-1) models
• On the Triviality of Textbook Quantum Electrodynamics
• Improved lattice actions
• A new approach to noncompact lattice qed with light fermions
• Gauged Nambu-Jona Lasinio Studies of the Triviality of Quantum Electrodynamics
• Topology conserving gauge action and the overlap-Dirac operator
• Chiral Susceptibilities in noncompact QED: a new determination of the $\gamma$ exponent and the critical couplings
• Phases of SU(2) gauge theory with multiple adjoint Higgs fields in 2+1 dimensions
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Anomalous finite-size scaling at thermal first-order transitions in systems with disordered boundary conditions
• The Phases and Triviality of Scalar Quantum Electrodynamics
• On the Logarithmic Triviality of Scalar Quantum Electrodynamics
• Testing logarithmic violations to scaling in strongly coupled QED
• Gauge fixing and gauge correlations in noncompact Abelian gauge models
• Chiral transition and monopole percolation in lattice scalar QED with quenched fermions
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• An Improved Single-Plaquette Gauge Action
• Noncompact gauge fields on a lattice: SU(n) theories
• Numerical study of the scaling properties of SU(2) lattice gauge theory in Palumbo non-compact regularization