Asymptotic freedom in the front-form Hamiltonian for quantum chromodynamics of gluons

作者：Gomez Rocha Maria^*; Glazek Stanislaw D

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2015, 92(6): 065005.

DOI：10.1103/PhysRevD.92.065005

Asymptotic freedom of gluons in pure-gauge QCD is obtained in the leading terms of their renormalized Hamiltonian in the Fock space, instead of considering virtual Green's functions or scattering amplitudes. Namely, we calculate the three-gluon interaction term in the effective front-form Hamiltonian for gluons in the Minkowski space-time using the renormalization group procedure for effective particles (RGPEP), with a new generator. The resulting three-gluon vertex is a function of the scale parameter, s, that has an interpretation of the size of effective gluons. The corresponding Hamiltonian running coupling constant, g(lambda), depending on the associated momentum scale. lambda = 1/s, is calculated in the series expansion in powers of g(0) = g(lambda 0) up to the terms of third order, assuming some small value for g(0) at some large lambda(0). The result exhibits the same finite sensitivity to small-x regularization as the one obtained in an earlier RGPEP calculation, but the new calculation is simpler than the earlier one because of a simpler generator. This result establishes a degree of universality for pure-gauge QCD in the RGPEP.

• 出版日期2015-9-9