Axial Couplings on the World-Line

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX 2e with array and epsf packages, Postscript figures. Submitted to Phys. Lett. B. Minor corrections, fixed a nu

Scientific paper

10.1016/0370-2693(95)01392-X

We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to verify that our method yields the same results as standard field theory. In particular, we are able to reproduce the chiral anomaly. Our starting point is the second-order formulation for the Dirac fermion. We translate the second order expressions into a world-line action.

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