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Preserving Local Gauge Invariance with t-Channel Regge Exchange

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arxiv 1509.01536 v1 pith:DAK64ZNX submitted 2015-09-04 hep-ph nucl-th

classification hep-phnucl-th
keywords exchangereggecontactcurrentgaugeinvariancelocalt-channel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Considering single-meson photo- and electroproduction off a baryon, it is shown how to restore local gauge invariance that was broken by replacing standard Feynman-type meson exchange in the t-channel by exchange of a Regge trajectory. This is achieved by constructing a contact current whose four-divergence cancels the gauge-invariance-violating contributions resulting from all states above the base state on the Regge trajectory. To illustrate the procedure, modifications necessary for the process $\gamma +p \to K^+ + \Sigma^{*0}$ are discussed in some detail. We also provide the general expression for the contact current for an arbitrary reaction.

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