Small flow-time representation of fermion bilinear operators
Kenji Hieda, Hiroshi Suzuki
TL;DR
This paper explores how fermion bilinear operators can be represented at small flow-time using L"uscher's flow equation, aiding lattice QCD simulations of phenomena like chiral condensation.
Contribution
It provides a new representation of fermion bilinear operators at small flow-time, connecting their properties to flow-evolved composite operators, with applications in lattice QCD.
Findings
Representation useful for lattice simulations of QCD
Demonstrated application to chiral condensation
Provides theoretical foundation for flow-time analysis
Abstract
Fermion bilinear operators of mass dimension~, such as the axial-vector and vector currents, the pseudo-scalar and scalar densities, whose normalizations are fixed by Ward--Takahashi (WT) relations, are related to small flow-time behavior of composite operators of fermion fields evolved by L\"uscher's flow equation. The representations can be useful in lattice numerical simulations, as recently demonstrated by the WHOT QCD collaboration for the chiral condensation of the quantum chromodynamics (QCD) at finite temperature.
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