Thermal pions in a magnetic background

TY - JOUR

T1 - Thermal pions in a magnetic background

AU - Andersen, Jens Oluf

PY - 2012/7/18

Y1 - 2012/7/18

N2 - We use chiral perturbation theory for SU(2) to compute the leading loop corrections to the thermal mass of the pions and the pion decay constant in the presence of a constant magnetic field B. The magnetic field gives rise to a splitting between M π0 and Mπ ± as well as F π0 and Fπ ±. We also calculate the free energy and the quark condensate to next-to-leading order in chiral perturbation theory. The results suggest that the critical temperature T c for the chiral transition is larger in the presence of a constant magnetic field, in agreement with most model calculations but in disagreement with recent lattice calculations.

AB - We use chiral perturbation theory for SU(2) to compute the leading loop corrections to the thermal mass of the pions and the pion decay constant in the presence of a constant magnetic field B. The magnetic field gives rise to a splitting between M π0 and Mπ ± as well as F π0 and Fπ ±. We also calculate the free energy and the quark condensate to next-to-leading order in chiral perturbation theory. The results suggest that the critical temperature T c for the chiral transition is larger in the presence of a constant magnetic field, in agreement with most model calculations but in disagreement with recent lattice calculations.

U2 - 10.1103/PhysRevD.86.025020

DO - 10.1103/PhysRevD.86.025020

M3 - Journal article

SN - 2470-0010

VL - 86

JO - Physical Review D

JF - Physical Review D

IS - 2

M1 - 025020

ER -