Abstract
We extend our previous studies [PhysRevD.90.054509, PhysRevD.92.094510] of the pion quasiparticle in the low-temperature phase of two-flavor QCD with support from chiral effective theory. This includes the analysis performed on a finite temperature ensemble of size 20 × 643 at T ≈ 151MeV and a lighter zero-temperature pion mass mπ ≈ 185 MeV. Furthermore, we investigate the Gell-Mann–Oakes-Renner relation at finite temperature and the Dey-Eletsky-Ioffe mixing theorem at finite quark mass.
Highlights
The study of strongly interacting matter under extreme conditions such as finite temperature has presented a theoretical and experimental challenge for many years
We have investigated the pion quasiparticle and order parameters for chiral restoration in N f = 2 QCD
The results obtained from the new ensemble with a lighter quark mass are qualitatively in agreement with our previous findings [1, 2], namely that the pion mass splits in a significantly lighter pion quasiparticle mass and a heavier screening mass
Summary
The study of strongly interacting matter under extreme conditions such as finite temperature has presented a theoretical and experimental challenge for many years. It is important to investigate how the zero-temperature excitations get modified with increasing temperature. Often the Hadron Resonance Gas Model is used in the low-temperature phase It describes the thermodynamics by assuming the medium to consist of a non-interacting gas of hadrons and resonances up to a cut-off mass. We present an extension of our study [1, 2] concerning the pion quasiparticle in the lowtemperature phase of two-flavor QCD. We test the modified dispersion relation of the pion quasiparticle on a new ensemble with a lighter zero-temperature pion mass. We investigate the Gell-Mann–Oakes–Renner relation at finite temperature as well as the Dey-EletskyIoffe mixing theorem [3] at finite quark mass
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