# Quark Matter 2014 - XXIV International Conference on Ultrarelativistic Nucleus-Nucleus Collisions

19-24 May 2014
Europe/Zurich timezone

## New approach to lattice QCD thermodynamics from Yang-Mills gradient flow

20 May 2014, 11:30
20m

### platinum

Contributed Talk New Theoretical Developments

### Speaker

Dr Tetsuo Hatsuda (RIKEN)

### Description

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed temperature are calculated directly on 32$^3 \times$ (6,8,10) lattices from the thermal average of the well-defined energy-momentum tensor ($T_{\mu \nu}^R(x)$) obtained by the gradient flow. It is demonstrated that the continuum limit can be taken in a controlled manner from the t-dependence of the flowed data. [1] M. Asakawa, T. Hatsuda, E. Itou, M. Kitazawa and H. Suzuki [FlowQCD Coll.], arXiv:1312.7492 [hep-lat].

### Primary author

Dr Tetsuo Hatsuda (RIKEN)

### Co-authors

Dr Etsuko Itou (KEK) Prof. Hiroshi Suzuki (Kyushu Univ.) Dr Masakiyo Kitazawa (Osaka Univ.) Prof. Masayuki Asakawa (Osaka Univ.)

 Slides