Speaker
Description
The renormalization group procedure for effective particles (RGPEP) has been
developed during the last years as a non-perturbative tool for constructing
bound-states in quantum field theories [1]. It stems from the similarity
renormalization group procedure (SRG) [2] and introduces the concept of effective
particles, which differ from the point-like canonical, bare ones by
having a finite size
the hadronic eigenstates of a family of effective Hamiltonians H_s depending
on the size s as the RGPEP scale parameter. We apply the RGPEP
to QCD using an expansion in powers of the coupling constant up to third order.
The Hamiltonian running coupling,
in
asymptotic freedom, which is a precondition for any approach aiming at using
QCD for explaining hadrons in the Minkowski space-time, especially for tackling
nonperturbative issues, such as the ones that emerge when one allows effective
gluons to have masses [2]. Applications of this method beyond the leading order are under way and it is hoped that the interaction terms relevant to understanding of confinement will be gradually determined.
[1] S. D. Glazek, Acta Phys. Polon. B42 (2011) 1933; Acta Phys. Polon. B43 (2012) 1843.
[2] K. G. Wilson, T. S. Walhout, A. Harindranath, W.-M. Zhang, R. J. Perry, and S. D. Glazek, Phys. Rev. D49 (1994) 6720-6766
[3] M. Gomez-Rocha and S. D. Glazek, Phys. Rev. D92 (2015) 065005.