Abstract
We compute the perturbative expansion of the two- and four-point functions of color charges in the Color Glass Condensate framework considering the quartic correction to the McLerran–Venugopalan (MV) model of Gaussian color charge fluctuations. Expressions for these correlators in the perturbative expansion for small and large non-Gaussian color charge fluctuations are derived for arbitrary orders in perturbation theory. We explicitly show that the perturbative series does not converge at higher orders as expected. We apply the Borel–Padé resummation method to our problem to construct a convergent series. It is shown that the fully non-perturbative solution can be described by the Borel–Padé approximants constructed from the first few terms of the perturbative series for small non-Gaussian fluctuations.
Highlights
Which can be described by hydrodynamic evolution [23,24]
In Ref. [28], the two- and four-point functions of the color charges are computed at leading order in the regime where the quartic term is assumed to be a small perturbation, and showed that infrared behavior of the leading connected two-particle production diagram is different from the case of a quadratic action
The fully connected graph for the four-point function at order 1/κ can be obtained by cutting a loop in the resulting diagram for the two-point function, which has been shown in the case of scalar field theory with φ4 self-interaction [49]: y ×
Summary
Non-Gaussian corrections for the weight function have been derived up to the fourth-order in the color charges [26– 28]. [28], the two- and four-point functions of the color charges are computed at leading order in the regime where the quartic term is assumed to be a small perturbation, and showed that infrared behavior of the leading connected two-particle production diagram is different from the case of a quadratic action. 3. A formulation of the perturbative series in the limit of large non-Gaussian fluctuations is given in Sect. We compute the two- and four-point function of color charges in the limits where (i) Eq (5) is dominated by its quadratic term, and (ii) Eq (5) is dominated by its quartic term, corresponding to the regimes of small and large non-Gaussian fluctuations, respectively, and compare the result from different orders in perturbation to the nonperturbative result
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