### 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.

Research output: Contribution to journal › Article

*Progress of Theoretical and Experimental Physics*, vol. 2013, no. 8, 083B03. https://doi.org/10.1093/ptep/ptt059

}

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 -