Gauge invariant bound state equations for quark-antiquark systems in QCD

Autor: H. Sazdjian
Přispěvatelé: Institut de Physique Nucléaire d'Orsay (IPNO), Université Paris-Sud - Paris 11 (UP11)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Physical Review D
Physical Review D, American Physical Society, 2013, 88, pp.025034. ⟨10.1103/PhysRevD.88.025034⟩
ISSN: 1550-7998
1550-2368
Popis: Using gauge invariant quark Green's functions, defined with path-ordered gluon field phase factors along polygonal lines, and functional relations among them, two compatible bound state equations of the Dirac type are established for quark-antiquark systems, each relative to the quark or to the antiquark of the system. The kernels of the bound state equations are defined through a series of Wilson loop averages along closed polygonal contours and their functional derivatives on them. A sufficient criterion for spontaneous chiral symmetry breaking is derived, relating the Goldstone boson wave function in the zero total momentum limit with the scalar part of the gauge invariant quark two-point Green's function.
Comment: 25 pages, 2 figures; v2: comments and references added
Databáze: OpenAIRE