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 1 2013 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Energy-momentum tensor from the yang-mills gradient flow. / Suzuki, Hiroshi.
In: Progress of Theoretical and Experimental Physics, Vol. 2013, No. 8, 083B03, 01.08.2013.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Energy-momentum tensor from the yang-mills gradient flow
AU - Suzuki, Hiroshi
PY - 2013/8/1
Y1 - 2013/8/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84884504009&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84884504009&partnerID=8YFLogxK
U2 - 10.1093/ptep/ptt059
DO - 10.1093/ptep/ptt059
M3 - Article
VL - 2013
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
SN - 2050-3911
IS - 8
M1 - 083B03
ER -