Dynamical Chiral Symmetry Breaking from Variationally Improved Perturbative Expansion

Details Dynamical Chiral Symmetry Breaking from Variationally Improved Perturbative Expansion Dynamical Chiral Symmetry Breaking from Variationally Improved Perturbative Expansion

1997-11-12

arxiv.org/abs/hep-ph/9711300v1

Nucl.Phys.Proc.Suppl. 64 (1998) 296-300

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, Latex using espcrc2.sty, no figures. Talk given at QCD97, Euroconference on Quantum Chromodynamics: 25th Anniversary

Scientific paper

10.1016/S0920-5632(97)01077-3

We review how a specific resummation of the so-called "delta-expansion", applied to the QCD Lagrangian, transforms the ordinary perturbative expansion in $\alpha_s$ into an expansion in an arbitrary mass parameter, around the basic scale $\bar\Lambda$. When applied to the pole mass, the resulting expression may be interpreted as a dynamical mass ansatz, to be optimized with respect to the new expansion (mass) parameter. The construction is generalized to obtain estimates of the order parameters of the $SU(n_f)_L \times SU(n_f)_R$ ($n_f =2,3$) symmetry breakdown.

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