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Chiral perturbation theory in a magnetic background - finite-temperature effects

Andersen, Jens Oluf
Journal article, Peer reviewed
Published version
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Andersen44583.pdf (Locked)
URI
http://hdl.handle.net/11250/2622788
Date
2012
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  • Institutt for fysikk [1765]
  • Publikasjoner fra CRIStin - NTNU [19961]
Original version
10.1007/JHEP10(2012)005
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 M π 0 and M π ± as well as between F π 0 and F π ±. 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 T c as a function of B is in agreement with most model calculations but in disagreement with recent lattice calculations.
Publisher
Springer Verlag
Journal
Journal of High Energy Physics (JHEP)

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