Abstract
We consider chiral perturbation theory for SU(2) at finite temperature T in a constant magnetic background B. We compute the thermal mass of the pions and the pion decay constant to leading order in chiral perturbation theory in the presence of the magnetic field. The magnetic field gives rise to a splitting between Mφ0 and Mφ± as well as between Fφ0 and Fφ ±. We also calculate the free energy and the quark condensate to next-to-leading order in chiral perturbation theory. Both the pion decay constants and the quark condensate are decreasing slower as a function of temperature as compared to the case with vanishing magnetic field. The latter result suggests that the critical temperature T c for the chiral transition is larger in the presence of a constant magnetic field. The increase of Tc as a function of B is in agreement with most model calculations but in disagreement with recent lattice calculations.
| Original language | English |
|---|---|
| Journal | Journal of High Energy Physics (Online) |
| Volume | 2012 |
| Issue number | 10 |
| Pages (from-to) | 005 |
| ISSN | 1126-6708 |
| DOIs | |
| Publication status | Published - 1 Oct 2012 |