# The $N_t=6$ equation of state for two flavor QCD

## TL;DR

This paper improves the calculation of the equation of state for two-flavor QCD by using $N_t=6$ lattices, revealing significant finite lattice spacing effects and providing formulas for the speed of sound.

## Contribution

It presents the first $N_t=6$ lattice results for the QCD equation of state, highlighting finite lattice corrections and offering methods to determine the speed of sound.

## Key findings

- Energy density rises rapidly after crossover
- Large finite $N_t$ corrections observed
- Formulas for speed of sound provided

## Abstract

We improve the calculation of the equation of state for two flavor QCD by simulating on $N_t=6$ lattices at appropriate values of the couplings for the deconfinement/chiral symmetry restoration crossover. For $am_q=0.0125$ the energy density rises rapidly to approximately 1 ${\rm GeV/fm^3}$ just after the crossover($m_\pi/m_\rho\approx 0.4$ at this point). Comparing with our previous result for $N_t=4$~\cite{eos}, we find large finite $N_t$ corrections as expected from free field theory on finite lattices. We also provide formulae for extracting the speed of sound from the measured quantities.