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Dressing the electromagnetic nucleon current · Around

2011

Dressing the electromagnetic nucleon current

Haberzettl, H., Huang, F., Nakayama, K.

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A field-theory-based approach to pion photoproduction off the nucleon is used to derive a microscopically consistent formulation of the fully dressed electromagnetic nucleon current in an effective Lagrangian formalism.

It is shown how the rigorous implementation of local gauge invariance at all levels of the reaction dynamics provides equations that lend themselves to practically manageable truncations of the underlying nonlinearities of the problem.
The requirement of consistency also suggests a novel way of treating the pion photoproduction problem.
Guided by a phenomenological implementation of gauge invariance for the truncated equations that has proved successful for pion photoproduction, an expression for the fully dressed nucleon current is given that satisfies the Ward-Takahashi identity for a fully dressed nucleon propagator as a matter of course.

Built on

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E. Kazes, Nuovo Cimento 13
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F. Huang, M. Döring, H. Haberzettl, J. Haidenbauer, C. Hanhart, S. Krewald, U.-G. Meißner, and K. Nakayama, in preparation
Cited in the paper.

Then

J. H. Koch, V. Pascalutsa, and S. Scherer, Phys. Rev. C 65
2002
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2006
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A. Pich, Rept. Prog. Phys. 58
2007
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E. Klempt and J. M. Richard, Rev. Mod. Phys. 82
2010
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