Wednesday, April 3, 2013

1304.0533 (Hiroshi Suzuki)

Energy-momentum tensor from the Yang--Mills gradient flow    [PDF]

Hiroshi Suzuki
A product of gauge fields generated by the Yang--Mills gradient flow at positive flow time does not exhibit the coincidence-point singularity and thus the definition of a local product is independent of the regularization. Such a local product can furthermore be expanded by renormalized local operators at zero flow time with finite coefficients which are governed by renormalization group equations. Using these facts, we construct a formula that relates the small flow-time limit of certain gauge invariant local products and the correctly-normalized conserved energy-momentum tensor in the Yang--Mills theory. Our formula provides a possible method to compute correlation functions of a well-defined energy-momentum tensor by using the lattice regularization and the Monte Carlo simulation.
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