Quasi-parton distributions in massive QED2: Towards quantum computation
arxiv(2024)
摘要
We analyze the quasi-parton distributions of the lightest η' meson in
massive two-dimensional Quantum electrodynamics (QED2) by performing a digital
quantum simulation on a classical computer (exact diagonalization). The
Hamiltonian and boost operators are mapped onto spin qubits in a spatial
lattice with open boundary conditions. The lowest excited state in the exact
diagonalization is shown to interpolate continuously between an anomalous
η' state at strong coupling,and a non-anomalous heavy meson at weak
coupling, with a cusp at the critical point. The boosted η' state follows
relativistic kinematics but with large deviations in the luminal limit. The
spatial quasi-parton distribution function and amplitude for the η' state
are computed numerically for increasing rapidity both at strong and weak
coupling, and compared to the exact light front results. The numerical results
from the boosted form of the spatial parton distributions, compare fairly with
the inverse Fourier transformation of the luminal parton distributions, derived
in the lowest Fock space approximation. Our analysis points out some of the
limitations facing the current lattice program for the parton distributions.
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