Pole term and gauge invariance in deep inelastic scattering

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In this paper the authors reconcile two contradictory statements about deep inelastic scattering (DIS) in manifestly covariant theories: (1) the scattering must be gauge invariant, even in the deep inelastic limit, and (2) 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. They 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 ... continued below

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803 Kilobytes pages

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Batiz, Zoltan & Gross, Franz March 1, 1998.

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In this paper the authors reconcile two contradictory statements about deep inelastic scattering (DIS) in manifestly covariant theories: (1) the scattering must be gauge invariant, even in the deep inelastic limit, and (2) 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. They 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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803 Kilobytes pages

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  • Journal Name: Phys.Rev. C58 (1998) 2963-2976; Other Information: Submitted to Phys.Rev. C58 (1998) 2963-2976

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  • Report No.: DOE/ER/40150-1497
  • Report No.: JLAB-THY-98-13
  • Report No.: WM-98-101
  • Report No.: nucl-th/9803053
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 755922
  • Archival Resource Key: ark:/67531/metadc702783

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • March 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 8:26 p.m.

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Batiz, Zoltan & Gross, Franz. Pole term and gauge invariance in deep inelastic scattering, article, March 1, 1998; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc702783/: accessed May 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.