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Renormalization of an effective light-cone QCD-inspired theory for the pion and other mesons

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Pauli,  H.C.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Frederico, T., & Pauli, H. (2001). Renormalization of an effective light-cone QCD-inspired theory for the pion and other mesons. Physical Review D (Particles and Fields), 64, 054007 -1-054007 - 13.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-85E3-9
Abstract
The renormalization of the effective QCD Hamiltonian theory for the quark-antiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed-point Hamiltonian gives the renormalization conditions as well as the counterterms that render the theory finite. The approach is renormalization group invariant. The parameters of the renormalized effective QCD Hamiltonian come from the pion mass and radius for a given constituent quark mass. The 1s and excited 2s states of u-bar q are calculated as a function of the mass of the quark q being s, c, or b, and compared to the experimental values.