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arXiv · 1304.0533

Energy-momentum tensor from the Yang-Mills gradient flow

Hiroshi Suzuki
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Abstract

The product of gauge fields generated by the Yang-Mills gradient flow for positive flow times does not exhibit the coincidence-point singularity and a local product is thus independent of the regularization. Such a local product can furthermore be expanded by renormalized local operators at zero flow time with finite coefficients that are governed by renormalization group equations. Using these facts, we derive a formula that relates the small flow-time behavior 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 the correlation functions of a well-defined energy-momentum tensor by using lattice regularization and Monte Carlo simulation.

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Hiroshi Suzuki. 2013-04-02. Energy-momentum tensor from the Yang-Mills gradient flow. https://doi.org/10.1093/ptep/ptv094

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