ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Symmetries of flavored quantum-chromo(flavor)-dynamics (QCD) and their breaking are reinvestigated within the Lagrange–Hamilton frame as well as on the basis of axiomatic gauge quantum field theory aiming at the resolution of some shortcomings by which QCD is still burdened despite all its undisputable successes: The Noether energy momentum tensors arising from those general representations (substitution rules) of the translation group that leave the standard SU(3) local color gauge and global flavor invariant chiral QCD-Lagrangian (and hence the Euler–Lagrange field equations) form invariant are shown to contain, besides the standard color and flavor symmetric canonical part, additional terms breaking the internal SU(3) symmetries of the Lagrangian down to chiral SU(2)×U(1) flavor symmetry, and in case of color confinement also the color group down to U(1)×SU(2) color symmetry only. With these general representations (covariance conditions) of the translation group as an input, a strictly Poincaré covariant gauge-quantum-field theory with color confinement is formulated and flavor Goldstone states are shown to occur with finite masses due to relative Einstein causality, the spectrum condition in color neutral sectors, translational covariance, and current conservation. Identifying the finite mass Goldstone states with pseudoscalar mesons, the axial vector part of the chiral SU(3) flavor symmetry is spontaneously broken, leaving only the chiral SU(2)×U(1) subgroup as a strict flavor symmetry of QCD. © 1998 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.532270
