Exploring Topology Conserving Gauge Actions for Lattice QCD

Abstract

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of O(0.1 fm). Such gauge actions tend to confine the Monte Carlo history to a single topological sector. This topological stability facilitates the collection of a large set of configurations in a specific sector, which is profitable for numerical studies in the epsilon-regime. The suppression of small plaquette values is also expected to be favourable for simulations with dynamical quarks. We use a local Hybrid Monte Carlo algorithm to simulate such actions, and we present numerical results for the static potential, the physical scale, the topological stability and the kernel condition number of the overlap Dirac operator. In addition we discuss the question of reflection positivity for a class of such gauge actions.

28 pages, 8 figures

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Cited by in corpus (15)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Lattice gauge action suppressing near-zero modes of H_W
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Topological Lattice Actions
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Interpreting Numerical Measurements in Fixed Topological Sectors
• Extracting hadron masses from fixed topology simulations
• Comparing topological charge definitions using topology fixing actions
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta =\pi$ with Lüscher's admissibility condition
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• An Improved Single-Plaquette Gauge Action
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• Bulk-preventing actions for SU(N) gauge theories
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