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.
Original language | English |
---|---|
Article number | 083B03 |
Journal | Progress of Theoretical and Experimental Physics |
Volume | 2013 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2013 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)