Electrodynamics in a Background Chiral Field

Details Electrodynamics in a Background Chiral Field Electrodynamics in a Background Chiral Field

2011-09-28

arxiv.org/abs/1109.6301v3

Mod.Phys.Lett. A, Vol. 26, No. 38 (2011) 2879-2887

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, references added, minor corrections, typos fixed, accepted in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732311037212

We consider the one loop effective action in four dimensional Euclidean space for a background chiral field coupled to a spinor field. It proves possible to find an exact expression for this action if the mass $m$ of the spinor vanishes. If $m$ does not vanish, one can make a perturbative expansion in powers of the axial field that contributes to the chiral field, while treating the contribution of the vector field exactly when it is a constant. The analogous problem in two dimensions is also discussed.

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