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Exploring the DGLAP resummation in the JIMWLK Hamiltonian
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Exploring the DGLAP resummation in the JIMWLK Hamiltonian
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We explore the recently derived equation that resums DGLAP corrections to the JIMWLK Hamiltonian in the simplified setting of the SU(2) gauge theory. We solve the equation numerically for the scattering matrix of a dressed gluon for a particular initial condition, that corresponds to a dipole initial state. As expected, the $S$-matrix of a single dressed gluon state ceases to be unitary if evolved to significant $\ln Q^2/Q_s^2$. Our numerical results indicate an interesting universal (independent of the coupling constant) pattern for this deviation from unitarity.
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Cited by 1 Pith paper
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Running coupling effects in the anti-collinear resummation in high energy evolution
Running coupling plus anti-collinear resummation in BFKL/JIMWLK slows evolution and cuts the anti-collinear Pomeron intercept, while χ(γ=1) is protected by a cancellation between kernel and DGLAP running.
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