## Abstract

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 Nτ =6; 8 and 12 and extrapolate the results to the continuum limit. The energy density and pressure are evaluated by the derivative method with nonperturabative anisotropy coefficients. We find that the pressure gap vanishes at all values of Nt. The spatial volume dependence in the latent heat is found to be small on large lattices. Performing extrapolation to the continuum limit, we obtain Δϵ=T^{4} =0:75±0:17 and δ(ϵ -3p)=T4 = 0:623±0:056: We also tested a method using the Yang-Mills gradient flow. The preliminary results are consistent with those by the derivative method within the error.

Original language | English |
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Journal | Proceedings of Science |

Volume | Part F128557 |

Publication status | Published - 2016 |

Event | 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom Duration: Jul 24 2016 → Jul 30 2016 |

## All Science Journal Classification (ASJC) codes

- General