Seminarium Teorii Oddziaływań Elementarnych

Asymptotic freedom of gluons is described in terms of a family of renormalized scale-dependent Hamiltonian operators that act in the Fock space. The Hamiltonians are calculated as functions of the scale by solving the new equation of so-called renormalization group procedure for effective particles (RGPEP) in the Yang-Mills theory [1]. The scale parameter has the interpretation of size of the effective gluons. The RGPEP equation is invariant with respect to boosts and may thus serve as a tool in attempts to simultaneously explain the parton and constituent models of hadrons or, more generally, the formation of bound states and mass generation in effective theories. The third-order asymptotically free solution to be discussed in the seminar prepares ground for higher order studies of renormalized Hamiltonians of QCD, while applications to other sectors of the standard model await development.
[1] M. Gomez-Rocha, S. D. Glazek, Phys. Rev. D 92, 065005 (2015).