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General formulae for dipole Wilson line correlators with the Color Glass Condensate

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arxiv 1708.03051 v1 pith:HSLHMODN submitted 2017-08-10 hep-ph hep-th

General formulae for dipole Wilson line correlators with the Color Glass Condensate

classification hep-ph hep-th
keywords correlatorslinewilsoncolordipolecondensateformulaegeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present general formulae to compute Wilson line correlators with the Color Glass Condensate described by the McLerran-Venugopalan model. We explicitly construct a complete and non-orthogonal set of color-singlet bases and write matrix elements down, so that the exponential of the matrix leads to the Wilson line correlators. We further develop a systematic perturbative expansion of dipole Wilson line correlators in terms of $1/N_c$ where $N_c$ is the color number. As a phenomenological application we calculate the flow harmonics $v_n\{m\}$ in the dipole model and discuss the $N_c$ scaling.

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