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28 August 2016 to 4 September 2016
Europe/Athens timezone

Asymptotic freedom in the Hamiltonian approach to binding of colour

30 Aug 2016, 18:50
20m
Alexandros II (Makedonia Palace)

Alexandros II

Makedonia Palace

Section A: Vacuum Structure and Confinement Section A

Speaker

Maria Gomez Rocha

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 s. The effective particles in the Fock space build
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, gs, is extracted from the interaction terms
in HsQCD [3]. We thus demonstrate that the RGPEP passes the test of describing
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.

Author

Presentation materials