Two-particle correlations in high-energy collisions and the gluon four-point function

Dumitru, Adrian; Jalilian-Marian, Jamal

doi:10.1103/PHYSREVD.81.094015

Title: Two-particle correlations in high-energy collisions and the gluon four-point function

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Abstract

We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in N{sub c} the mean field (Gaussian) approximation where the four-point function is factorized into a product of two-point functions is violated. We calculate these factorization breaking terms and show that they contribute at leading order in N{sub c} to correlations of two produced gluons as a function of their relative rapidity and azimuthal angle, for generic (rather than back-to-back) angles. Such two-particle correlations have been studied experimentally at the BNL-RHIC collider and could be scrutinized also for pp (and, in the future, also AA) collisions at the CERN-LHC accelerator.

Authors:

Dumitru, Adrian ^[1]; Jalilian-Marian, Jamal ^[2]

RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Avenue, New York, New York 10010 (United States)

Publication Date:: Sat May 01 00:00:00 EDT 2010

OSTI Identifier:: 21415204

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 81; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.81.094015; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BNL; BROOKHAVEN RHIC; CERN LHC; COLLISIONS; CORRELATIONS; EQUATIONS; FACTORIZATION; GLUONS; MEAN-FIELD THEORY; PARTICLE RAPIDITY; PARTICLES; PROTON-PROTON INTERACTIONS; ACCELERATORS; BARYON-BARYON INTERACTIONS; BOSONS; CALCULATION METHODS; CYCLIC ACCELERATORS; HADRON-HADRON INTERACTIONS; HEAVY ION ACCELERATORS; INTERACTIONS; NATIONAL ORGANIZATIONS; NUCLEON-NUCLEON INTERACTIONS; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; PROTON-NUCLEON INTERACTIONS; STORAGE RINGS; SYNCHROTRONS; US AEC; US DOE; US ERDA; US ORGANIZATIONS

Citation Formats


                    Dumitru, Adrian, Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Avenue, New York, New York 10010, The Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016, Jalilian-Marian, Jamal, and Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016. Two-particle correlations in high-energy collisions and the gluon four-point function.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVD.81.094015.

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                    Dumitru, Adrian, Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Avenue, New York, New York 10010, The Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016, Jalilian-Marian, Jamal, & Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016. Two-particle correlations in high-energy collisions and the gluon four-point function.  United States.  https://doi.org/10.1103/PHYSREVD.81.094015

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                    Dumitru, Adrian, Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Avenue, New York, New York 10010, The Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016, Jalilian-Marian, Jamal, and Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016. 2010.  
        "Two-particle correlations in high-energy collisions and the gluon four-point function".  United States.  https://doi.org/10.1103/PHYSREVD.81.094015.

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@article{osti_21415204,

  title        = {Two-particle correlations in high-energy collisions and the gluon four-point function},

  author       = {Dumitru, Adrian and Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Avenue, New York, New York 10010 and The Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016 and Jalilian-Marian, Jamal and Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016},

  abstractNote = {We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in N{sub c} the mean field (Gaussian) approximation where the four-point function is factorized into a product of two-point functions is violated. We calculate these factorization breaking terms and show that they contribute at leading order in N{sub c} to correlations of two produced gluons as a function of their relative rapidity and azimuthal angle, for generic (rather than back-to-back) angles. Such two-particle correlations have been studied experimentally at the BNL-RHIC collider and could be scrutinized also for pp (and, in the future, also AA) collisions at the CERN-LHC accelerator.},

  doi          = {10.1103/PHYSREVD.81.094015},

  url          = {https://www.osti.gov/biblio/21415204},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 9,

  volume       = 81,

  place        = {United States},

  year         = {Sat May 01 00:00:00 EDT 2010},

  month        = {Sat May 01 00:00:00 EDT 2010}

}

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https://doi.org/10.1103/PHYSREVD.81.094015

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