# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

## Determination of latent heat at the finite temperature phase transition of SU(3) gauge theory

29 Jul 2016, 16:50
20m
Building 32 Room 1015 (Highfield Campus, University of Southampton)

### Building 32 Room 1015

#### Highfield Campus, University of Southampton

Talk Nonzero Temperature and Density

### Speaker

Dr Shinji Ejiri (Niigata University)

### Description

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the lattice size in the temporal direction Nt=6, 8 and 12 and extrapolate the results to the continuum limit. The energy density and pressure are evaluated by the derivative method with non-perturabative anisotropy coefficients and by a method using the Yang-Mills gradient flow. We find that the pressure gap vanishes at all values of Nt when the derivative method is used. The spatial volume dependence in the latent heat is found to be small on large lattices. Performing extrapolation to the continuum limit, we obtain $\Delta \epsilon/T^4 = 0.75 \pm 0.17$ and $\Delta (\epsilon -3 p)/T^4 = 0.623 \pm 0.056.$

### Primary author

Dr Shinji Ejiri (Niigata University)

### Co-authors

Prof. Hiroshi Suzuki (Kyushu University) Prof. Kazuyuki Kanaya (CiRfSE, Univ. Tsukuba) Dr Masakiyo Kitazawa (Osaka University) Mr Mizuki Shirogane (Niigata University) Mr Naoki Wakabayashi (Niigata University) Mr Ryo Iwami (Niigata University) Dr Takashi UMEDA (Hiroshima Univ.) Dr Yusuke Taniguchi (University of Tsukuba)

 Slides