We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian–Iancu–McLerran–Weigert–Leonidov–Kovner (JIMWLK) evolution in the color glass condensate effective field theory. We discuss a diagrammatic interpretation of the long-range correlators. By separately evolving the Wilson lines in the direct and complex conjugate amplitudes, we use the formalism to study two-particle production at large rapidity separations. We show that the evolution between the rapidities of the two produced particles can be expressed as a linear equation, even in the full nonlinear limit. We also show how the Langevin formalism for two-particle correlations reduces to a Balitsky-Fadin-Kuraev-Lipatov (BFKL) picture in the dilute limit and in momentum space, providing an interpretation of BFKL evolution as a stochastic process for color charges.
{ "_oai": { "updated": "2021-08-28T21:15:54Z", "id": "oai:repo.scoap3.org:49540", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "T. Lappi", "affiliations": [ { "country": "Finland", "value": "Department of Physics, P.O. Box 35, 40014 University of Jyv\u00e4skyl\u00e4, Finland, and Helsinki Institute of Physics, P.O. Box 64, 00014 University of Helsinki, Finland" } ], "surname": "Lappi", "given_names": "T.", "full_name": "Lappi, T." }, { "raw_name": "A. Ramnath", "affiliations": [ { "country": "Finland", "value": "Department of Physics, P.O. Box 35, 40014 University of Jyv\u00e4skyl\u00e4, Finland" } ], "surname": "Ramnath", "given_names": "A.", "full_name": "Ramnath, A." } ], "titles": [ { "source": "APS", "title": "Unequal rapidity correlators in the dilute limit of the JIMWLK evolution" } ], "dois": [ { "value": "10.1103/PhysRevD.100.054003" } ], "publication_info": [ { "journal_volume": "100", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-08-25T10:38:28.274568", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 18 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2019" } ], "control_number": "49540", "record_creation_date": "2019-09-04T16:30:04.196403", "_files": [ { "checksum": "md5:a23d331dfc1f57ac7faeb65d5549ee07", "filetype": "pdf", "bucket": "85d37383-628a-400b-bcba-058db675183d", "version_id": "eec57f5c-081a-4fb9-8a9d-09f7bb3a308a", "key": "10.1103/PhysRevD.100.054003.pdf", "size": 1412013 }, { "checksum": "md5:0d4bb1f363419307c07e8569bd849b83", "filetype": "xml", "bucket": "85d37383-628a-400b-bcba-058db675183d", "version_id": "29208f21-938a-4e73-a1c5-bde255e5ef7b", "key": "10.1103/PhysRevD.100.054003.xml", "size": 471369 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "nucl-th" ], "value": "1904.00782" } ], "abstracts": [ { "source": "APS", "value": "We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian\u2013Iancu\u2013McLerran\u2013Weigert\u2013Leonidov\u2013Kovner (JIMWLK) evolution in the color glass condensate effective field theory. We discuss a diagrammatic interpretation of the long-range correlators. By separately evolving the Wilson lines in the direct and complex conjugate amplitudes, we use the formalism to study two-particle production at large rapidity separations. We show that the evolution between the rapidities of the two produced particles can be expressed as a linear equation, even in the full nonlinear limit. We also show how the Langevin formalism for two-particle correlations reduces to a Balitsky-Fadin-Kuraev-Lipatov (BFKL) picture in the dilute limit and in momentum space, providing an interpretation of BFKL evolution as a stochastic process for color charges." } ], "imprints": [ { "date": "2019-09-04", "publisher": "APS" } ] }