Response of strongly-interacting matter to magnetic field: some exact results

Details Response of strongly-interacting matter to magnetic field: some exact results Response of strongly-interacting matter to magnetic field: some exact results

2005-10-04

arxiv.org/abs/hep-ph/0510049v2

Phys.Rev. D73 (2006) 045006

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, no figures, To be submitted to Physical Review D, fixed an omitted reference

Scientific paper

We derive some exact results concerning the response of strongly-interacting matter to external magnetic fields. Our results come from consideration of triangle anomalies in medium. First, we define an "axial magnetic susceptibility," then we examine its beahvior in two flavor QCD via response theory. In the chirally restored phase, this quantity is proportional to the fermion chemical potential, while in the phase of broken chiral symmetry it can be related, through triangle anomalies, to an in-medium amplitude for the neutral pion to decay to two photons. We confirm the latter result by calculation in a linear sigma model, where this amplitude is already known in the literature.

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