2000 character limit reached
Small flow-time representation of fermion bilinear operators
Published 14 Jun 2016 in hep-lat and hep-th | (1606.04193v5)
Abstract: Fermion bilinear operators of mass dimension~$3$, 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 $N_f=2+1$ quantum chromodynamics (QCD) at finite temperature.
- M. Kitazawa, “QCD thermodynamics from Gradient Flow,” talk delivered at The 13th International workshop on QCD in extreme conditions, http://conf.ccnu.edu.cn/~xqcd2015/
- Y. Taniguchi, “QCD energy momentum tensor at finite temperature using gradient flow,” talk delivered at the RBRC Workshop on Lattice Gauge Theories 2016, https://indico.bnl.gov/conferenceDisplay.py?confId=1628
- J. C. Collins, “Renormalization : An Introduction to Renormalization, The Renormalization Group, and the Operator Product Expansion,” (Cambridge University Press, Cambridge, 1984).
- M. Lüscher, “Renormalization and continuum limit of the gradient flow in non-Abelian gauge theories,” talk given at “Workshop on Chiral Dynamics with Wilson Fermions,” Trento, 24–28 October 2011.
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