Measurement of thermodynamics using gradient flow

Abstract

We analyze bulk thermodynamics and correlation functions of the energy-momentum tensor in pure Yang-Mills gauge theory using the energy-momentum tensor defined by the gradient flow and small flow time expansion. Our results on thermodynamic observables are consistent with those obtained by the conventional integral method. The analysis of the correlation function of total energy supports the energy conservation. It is also addressed that these analyses with gradient flow require less statistics compared with the previous methods. All these results suggest that the energy-momentum tensor can be successfully defined and observed on the lattice with moderate numerical costs with the gradient flow.

arXiv comment15 pages, 9 figures. Plenary talk at 32nd International Symposium on Lattice Field Theory, Lattice2014, June 23 - 28, 2014, New York, USA

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Cited by in corpus (6)

• Small flow-time representation of fermion bilinear operators
• Proof of the renormalizability of the gradient flow
• Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow
• The Yang-Mills gradient flow and renormalization
• Energy--momentum tensor on the lattice: recent developments
• Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices