Regular Article - Theoretical Physics
Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
Physics Department, Faculty of Natural Sciences and Mathematics, St. Olaf College, 1520 St. Olaf Av., 55057, Northfield, MN, USA
2 Department of Physics, Norwegian University of Science and Technology, Høgskoleringen 5, 7491, Trondheim, Norway
Accepted: 2 February 2021
Published online: 20 February 2021
We consider two-flavor chiral perturbation theory (PT) at finite isospin chemical potential and finite temperature T. We calculate the effective potential and the quark and pion condensates as functions of T and to next-to-leading order in the low-energy expansion in the presence of a pionic source. We map out the phase diagram in the –T plane. Numerically, we find that the transition to the pion-condensed phase is second order in the region of validity of PT, which is in agreement with model calculations and lattice simulations. Finally, we calculate the pressure to two-loop order in the symmetric phase for nonzero and find that PT seems to be converging very well.
© The Author(s) 2021
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