Bulk-preventing actions for SU(N) gauge theories

Abstract

Lattice gauge field theories may suffer from unphysical "bulk" phase transitions at strong lattice gauge coupling. We introduce a one-parameter family of lattice SU(N) gauge actions which, when used in combination with an HMC update algorithm, prevents the appearance of the bulk phase transition. We briefly discuss the (presumed) mechanism behind the prevention of the bulk transition and present test results for different SU(N) gauge groups.

arXiv comment14 pages, 8 figures, contains a refined discussion of the working principle of bulk-prevention in SU(N) gauge theories and a new appendix on the relation between bulk configurations and magnetic monopoles

References in corpus (29)

• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• SU(2) Calorons and Magnetic Monopoles
• O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
• Properties of the deconfining phase transition in SU(N) gauge theories
• Mass anomalous dimension in SU(2) with two adjoint fermions
• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• The lattice gradient flow at tree-level and its improvement
• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours
• Infrared fixed point of the 12-fermion SU(3) gauge model based on 2-lattice MCRG matching
• Mass anomalous dimension in SU(2) with six fundamental fermions
• String Breaking in Lattice Quantum Chromodynamics
• Heavy Dynamical Fermions in Lattice QCD
• Definition of Magnetic Monopole Numbers for SU(N) Lattice Gauge-Higgs Models
• The Maximal Abelian Gauge in SU(N) Gauge Theories and Thermal Monopoles for N = 3
• SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action: Lattice artefacts
• Safety versus triviality on the lattice
• Scaling in the Positive Plaquette Model and Universality in SU(2) Lattice Gauge Theory
• Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Detecting monopoles on the lattice
• Suppressing dislocations in normalized hypercubic smearing
• Simple chromatic properties of gradient flow
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• Screening of Z(N) monopole pairs in gauge theories
• Non-abelian lattice gauge theory with a topological action
• Non-perturbative decoupling of massive fermions
• Induced QCD II: Numerical results