Abstract
Modification of the photon dispersion relation in chiral matter enables 1→2 scattering. As a result, the single fermion and photon states are unstable to photon radiation and pair production respectively. In particular, a fast fermion moving through chiral matter can spontaneously radiate a photon, while a photon can spontaneously radiate a fast fermion and anti-fermion pair. The corresponding spectra are derived in the ultra-relativistic approximation. It is shown that the polarization of the produced and decayed photons is determined by the sign of the chiral conductivity. Impact of a flat thin domain wall on the spectra is computed.
Highlights
One of the macroscopic manifestations of the chiral anomaly of QCD is the emergence of the topological C P -odd domains in hot nuclear matter [1]
The C P -odd domains in the chiral matter can be described by a scalar field θ whose interaction with the electromagnetic field F μν is governed by the Lagrangian [4,16,17,18]
The main result of this paper is that a free charged fermion moving through chiral matter spontaneously radiates electromagnetic radiation
Summary
One of the macroscopic manifestations of the chiral anomaly of QCD is the emergence of the topological C P -odd domains in hot nuclear matter [1]. Recall that photon radiation by a charged fermion in vacuum f (p) → f (p ) + γ (k) and the cross-channel process of pair production in vacuum γ (k) → f (p ) + ̄f (p) are prohibited by momentum conservation.. I.e. in a matter supporting the C P -odd domains, the chiral anomaly modifies the photon dispersion relation as [4,5,6,7,8,9,10]3. The main goal of this paper is to compute the photon radiation and pair production spectra due to the modified photon dispersion relation in chiral matter.
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