https://doi.org/10.1140/epjc/s10052-022-10310-3
Regular Article - Theoretical Physics
Finite volume effects in the McLerran–Venugopalan initial condition for the JIMWLK equation
Institute of Theoretical Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348, Kraków, Poland
Received:
17
November
2021
Accepted:
11
April
2022
Published online:
27
April
2022
We revisit the numerical construction of the initial condition for the dipole amplitude from the McLerran–Venugopalan model in the context of the JIMWLK evolution equation. We observe large finite volume effects induced by the Poisson equation formulated on a torus. We show that the situation can be partially cured by introducing an infrared regularization. We propose a procedure which has negligible finite volume corrections. The control of the finite volume and finite lattice spacings effects is crucial when considering the numerical solutions of the JIMWLK evolution equation with the collinear improvement.
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