Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields

Abstract

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice formulation of the pure Yang--Mills theory. In the present paper, this construction is further generalized for vector-like gauge theories containing fermions.

32 pages, added an appendix, errors in the one-loop calculation were corrected

References in corpus (2)

• A calculation of the bulk viscosity in SU(3) gluodynamics
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• Four quark operators for kaon bag parameter with gradient flow
• Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory
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• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Moments of parton distribution functions of any order from lattice QCD
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• Distribution of Energy-Momentum Tensor around a Static Quark in the Deconfined Phase of SU(3) Yang-Mills Theory
• Effective electroweak Hamiltonian in the gradient-flow formalism
• A Study of Stress-Tensor Distribution around Flux Tube in Abelian-Higgs Model
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• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
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• Large-$N$ limit of the gradient flow in the 2D $O(N)$ nonlinear sigma model
• One-loop matching of $CP$-odd four-quark operators to the gradient-flow scheme
• The running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions
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