Gauge Field Strength Tensor from the Overlap Dirac Operator

Abstract

We derive the classical continuum limit of the operator tr${}_s{\sigma }_{\mu \nu }{D}^{ov}(x,x)$ with $D^{ov}$ being the overlap Dirac operator and show that it corresponds to the gauge field strength tensor $F_{\mu \nu }(x)$.

17 pages

Cited by in corpus (16)

• Hadron structure from lattice quantum chromodynamics
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• The Parton Orbital Angular Momentum: Status and Prospects
• The dyonic picture of topological objects in the deconfined phase
• Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
• Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix
• Strangeness and glue in the nucleon from lattice QCD
• Perturbative Renormalization and Mixing of Quark and Glue Energy-Momentum Tensors on the Lattice
• A renormalisation group derivation of the overlap formulation
• Quark and Glue Components of the Proton Spin from Lattice Calculation
• Investigations of hadron structure on the lattice
• Modifying the molecular dynamics action to increase topological tunnelling rate for dynamical overlap fermions
• Glue Spin $S_G$ in The Longitudinally Polarized Nucleon
• How Self-Dual is QCD?
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
• Locality and Efficient Evaluation of Lattice Composite Fields: Overlap-Based Gauge Operators