# EPS HEP 2015

22-29 July 2015
Europe/Vienna timezone

## Universal aspects in the equation of state for Yang-Mills theories

Jul 25, 2015, 12:15 PM
15m
HS32

### HS32

talk Non-Perturbative Field Theory and String Theory

### Speaker

Mr Alessandro Nada (University of Torino & INFN, Turin)

### Description

We present high-precision lattice calculations of the thermodynamics of Yang-Mills theories with different gauge groups. In the confining phase, we show that the equation of state is described remarkably well by a gas of massive, non-interacting glueballs, provided that an effective bosonic closed-string model is used to derive an exponentially growing Hagedorn spectrum for the heavy states. In particular, this model describes very accurately the results for the SU(3) theory reported by BorsÃ¡nyi et al. in JHEP 07 (2012) 056, as well as a novel set of lattice data for the SU(2) theory. In addition, we also also show that the equation of state in the deconfined phase exhibits a near perfect proportionality to the number of gluon degrees of freedom, including for the Yang-Mills theory based on the exceptional, center-less gauge group G$_2$.

### Primary author

Mr Alessandro Nada (University of Torino & INFN, Turin)

### Co-authors

Marco Panero (University of Turin and INFN, Turin) Mattia Bruno (NIC, DESY) Michele Caselle (University of Turin & INFN, Turin) Roberto Pellegrini (University of Edinburgh)