dorsal/arxiv
View SchemaPole Term and Gauge Invariance in Deep Inelastic Scattering
| Authors | Zoltan Batiz, Franz Gross |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9803053 |
| URL | https://arxiv.org/abs/nucl-th/9803053 |
| DOI | 10.1103/PhysRevC.58.2963 |
| Journal | Phys.Rev.C58:2963-2976,1998 |
Abstract
In this paper we reconcile two contradictory statements about deep inelastic scattering (DIS) in manifestly covariant theories: (i) the scattering must be gauge invariant, even in the deep inelastic limit, and (ii) the pole term (which is not gauge invariant in a covariant theory) dominates the scattering amplitude in the deep inelastic limit. An ``intermediate'' answer is found to be true. We show that, at all energies, the gauge dependent part of the pole term cancels the gauge dependent part of the rescattering term, so that both the pole and rescattering terms can be separately redefined in a gauge invariant fashion. The resulting, redefined pole term is then shown to dominate the scattering in the deep inelastic limit. Details are worked out for a simple example in 1+1 dimensions.
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"abstract": "In this paper we reconcile two contradictory statements about deep inelastic\nscattering (DIS) in manifestly covariant theories: (i) the scattering must be\ngauge invariant, even in the deep inelastic limit, and (ii) the pole term\n(which is not gauge invariant in a covariant theory) dominates the scattering\namplitude in the deep inelastic limit. An ``intermediate\u0027\u0027 answer is found to\nbe true. We show that, at all energies, the gauge dependent part of the pole\nterm cancels the gauge dependent part of the rescattering term, so that both\nthe pole and rescattering terms can be separately redefined in a gauge\ninvariant fashion. The resulting, redefined pole term is then shown to dominate\nthe scattering in the deep inelastic limit. Details are worked out for a simple\nexample in 1+1 dimensions.",
"arxiv_id": "nucl-th/9803053",
"authors": [
"Zoltan Batiz",
"Franz Gross"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.2963",
"journal_ref": "Phys.Rev.C58:2963-2976,1998",
"title": "Pole Term and Gauge Invariance in Deep Inelastic Scattering",
"url": "https://arxiv.org/abs/nucl-th/9803053"
},
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