t-Channel unitarity construction of small-x kernels

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The authors present the BFKL equation as a reggeon Bethe-Salpeter equation and discuss the use of reggeon diagrams to obtain 2-2 and 2-4 reggeon interactions at O(g{sup 4}). They then outline the dispersion theory basis of multiparticle j-plane analysis and describe how a gauge theory can be studied by combining Ward identity constraints with the group structure of reggeon interactions. The derivation of gluon reggeization, the O(g{sup 2}) BFKL kernel, and O(g{sup 4}) corrections, is described within this formalism. They give an explicit expression for the O(g{sup 4}) forward ``parton`` kernel in terms of logarithms and evaluate the eigenvalues. A ... continued below

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27 p.

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Coriano, C. & White, A. R. December 1995.

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  • Coriano, C. Argonne National Lab., IL (United States). High Energy Physics Div.
  • White, A. R. Argonne National Lab, IL (United States). High Energy Physics Div.

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Description

The authors present the BFKL equation as a reggeon Bethe-Salpeter equation and discuss the use of reggeon diagrams to obtain 2-2 and 2-4 reggeon interactions at O(g{sup 4}). They then outline the dispersion theory basis of multiparticle j-plane analysis and describe how a gauge theory can be studied by combining Ward identity constraints with the group structure of reggeon interactions. The derivation of gluon reggeization, the O(g{sup 2}) BFKL kernel, and O(g{sup 4}) corrections, is described within this formalism. They give an explicit expression for the O(g{sup 4}) forward ``parton`` kernel in terms of logarithms and evaluate the eigenvalues. A separately infra-red finite component with a holomorphically factorizable spectrum is shown to be present and conjectured to be a new leading-order partial-wave amplitude. A comparison is made with Kirschner`s discussion of O(g{sup 4}) contributions from the multi-Regge effective action.

Physical Description

27 p.

Notes

INIS; OSTI as DE96005468

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  • 34. Cracow School of Theoretical Physics: bozanization and conformal symmetry in high energy physics, Zakopane (Poland), 4-14 Jun 1995

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  • Other: DE96005468
  • Report No.: ANL-HEP-CP--95-83
  • Report No.: CONF-9506312--1
  • Grant Number: FG05-86ER40272;W-31109-ENG-38
  • DOI: 10.2172/179292 | External Link
  • Office of Scientific & Technical Information Report Number: 195726
  • Archival Resource Key: ark:/67531/metadc667908

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  • December 1995

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  • June 29, 2015, 9:42 p.m.

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  • Dec. 14, 2015, 5:06 p.m.

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Coriano, C. & White, A. R. t-Channel unitarity construction of small-x kernels, article, December 1995; United States. (digital.library.unt.edu/ark:/67531/metadc667908/: accessed November 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.