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

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arxiv 1403.4772 v5 pith:SGSKNBZM submitted 2014-03-19 hep-lat hep-th

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

classification hep-lat hep-th
keywords fieldsflowgradientlatticetensoryang--millsbecomebeen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    A perturbative Ricci-flow formulation in gravity yields a renormalization scheme for Newton's constant that exhibits a non-Gaussian fixed point at two-loop order.

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    All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.

  3. Gradient Flow Renormalization Schemes for Composite Fermion Operators

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    New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and...

  4. The QCD energy-momentum tensor on the lattice: non-perturbative renormalization with $N_f=3$

    hep-lat 2026-06 unverdicted novelty 5.0

    Non-perturbative renormalization constants for gluonic and fermionic components of the traceless energy-momentum tensor in Nf=3 lattice QCD are computed to few-percent accuracy using discretized Ward identities with s...