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- W4384338628 abstract "We calculate the entanglement entropy of a model proton wave function in coordinate space by integrating out degrees of freedom outside a small circular region $bar A$ of radius $L$, where $L$ is much smaller than the size of the proton. The wave function provides a nonperturbative distribution of three valence quarks. In addition, we include the perturbative emission of a single gluon and calculate the entanglement entropy of gluons in $bar A$. For both, quarks and gluons we obtain the same simple result: $S_E =-intfrac{dx}{Delta x}, N_{L^2}(x)log[N_{a^2}(x)]$, where $a$ is the UV cutoff in coordinate space and $Delta x$ is the longitudinal resolution scale. Here $N_{S}(x)$ is the number of partons (of the appropriate species) with longitudinal momentum fraction $x$ inside an area $S$. It is related to the standard parton distribution function (PDF) by $N_S(x)=frac{S}{A_p}, Delta x, F(x)$, where $A_p$ denotes the transverse area of the proton." @default.
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- W4384338628 date "2023-07-14" @default.
- W4384338628 modified "2023-10-15" @default.
- W4384338628 title "Entanglement entropy of the proton in coordinate space" @default.
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- W4384338628 doi "https://doi.org/10.1103/physrevd.108.014014" @default.
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