Krylov complexity and gluon cascades in the high energy limit
Pawel Caputa,
Krzysztof Kutak
Abstract:We point out an interesting connection between the mathematical framework of the Krylov basis, which is used to quantify quantum complexity, and the entanglement entropy in high energy QCD. In particular, we observe that the cascade equation of the dipole model is equivalent to the SL(2,R) Schrödinger equation in the Krylov basis. Consequently, the Krylov complexity corresponds to the average distribution of partons and the Krylov entropy is the counterpart of the entanglement entropy computations of [D. E. Kh… Show more
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