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General structure of fermion two-point function and its spectral representation in a hot magnetised medium | | Aritra Das
; Aritra Bandyopadhyay
; Pradip K. Roy
; Munshi G. Mustafa
; | | Date: |
25 Sep 2017 | | Abstract: | We have systematically constructed the general structure of the fermion
self-energy and the effective quark propagator in presence of a nontrivial
background like hot magnetised medium. This is applicable to both QED and QCD.
The hard thermal loop approximation has been used for the heat bath. We have
also examined transformation properties of the effective fermion propagator
under some of the discrete symmetries of the system. Using the effective
fermion propagator we have analysed the fermion dispersion spectra in a hot
magnetised medium along with the spinor for each fermion mode obtained by
solving the modified Dirac equation. The fermion spectra is found to reflect
the discrete symmetries of the two-point functions. We note that for a chirally
symmetric theory the degenerate left and right handed chiral modes in vacuum or
in a heat bath get separated and become asymmetric in presence of magnetic
field without disturbing the chiral invariance. The obtained general structure
of the two-point functions is verified by computing the three-point function,
which agrees with the existing results in one-loop order. Finally, we have
computed explicitly the spectral representation of the two-point functions
which would be very important to study the spectral properties of the hot
magnetised medium corresponding to QED and QCD with background magnetic field. | | Source: | arXiv, 1709.8365 | | Services: | Forum | Review | PDF | Favorites | |
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