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CGC formalism with two sources
Institution:1. INFN, Sezione di Firenze and Dipartimento di Fisica e Astronomia, Università di Firenze, I-50019 Sesto Fiorentino, Florence, Italy;2. Dipartimento di Fisica, Università di Roma “La Sapienza” and INFN, Sezione di Roma, I-00185 Rome, Italy;3. Departamento de Física, FCEYN, Universidad de Buenos Aires, (1428) Pabellón 1 Ciudad Universitaria, Capital Federal, Argentina;4. Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, I-20133 Milan, Italy;5. Institut für Theoretische Physik, Universität Zürich, CH-8057 Zürich, Switzerland;1. Department of Physics, Columbia University, New York, NY 10027, USA;2. Department of Physics, The Ohio State University, Columbus, OH 43210, USA;3. Institut de Physique Theorique, CEA Saclay, UMR 3681, F-91191 Gif-sur-Yvette, France;4. Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China;5. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University, Wuhan 430079, China;2. Institute of Particle Physics, Central China Normal University, Wuhan 430079, China;3. Centre de Physique Théorique, École Polytechnique, CNRS, Université Paris-Saclay, Route de Saclay, 91128 Palaiseau, France;4. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. Division of Science, Penn State Berks, Reading, PA 19610, USA;2. Jefferson Lab., 12000 Jefferson Avenue, Newport News, VA 23606, USA;3. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. Department of Physics, Bolu Abant Izzet Baysal University, 14280, Bolu, Turkey;2. Department of Electrical and Electronics Engineering, Giresun University, 28200 Giresun, Turkey;3. Department of Energy Systems Engineering, Giresun University, 28200 Giresun, Turkey;4. Department of Physics, Ankara University, 06100 Ankara, Turkey
Abstract:In this work we extend the JIMWLK formalism to the two-source problem. The S-matrix for the forward scattering can be written in a double functional integral representation which involves the usual functional integral for the gluon field and the spin path integral for the external color sources. Modifications needed in the light-cone gauge are discussed. Using our source term we compute the produced gluon field and discuss the duality of the high energy evolution kernel in the pA collision.
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