https://doi.org/10.1140/epjc/s10052-021-08948-6
Regular Article - Theoretical Physics
Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
1
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
Received:
30
October
2020
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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