447,223 research outputs found
Gluon Distributions and Color Charge Correlations in a Saturated Light-cone Wavefunction
We describe the light-cone wavefunction in the saturation regime in terms of
the density of gluons per unit of transverse phase space, the occupation
number, and in terms of the color charge correlator. The simple McLerran-
Venugopalan model gives what are claimed to be general results for the phase
space gluon density, but it does not well describe the general case for the
charge correlator. We derive the general momentum dependence and rapidity
dependence of the color charge correlator which exhibits strong color
shielding. A simplel physical picture which leads to these general results is
described.Comment: 17 pages, Latex, 7 figure
General Form of Color Charge of the Quark
In Maxwell theory the constant electric charge e of the electron is
consistent with the continuity equation where
is the current density of the electron where the repeated indices
are summed. However, in Yang-Mills theory the Yang-Mills color
current density of the quark satisfies the equation
which is not a continuity equation () which implies that the color charge of the quark is not
constant where a=1,2,...,8 are the color indices. Since the charge of a point
particle is obtained from the zero () component of a corresponding
current density by integrating over the entire (physically) allowed volume, the
color charge of the quark in Yang-Mills theory is time dependent. In
this paper we derive the general form of eight time dependent fundamental color
charges of the quark in Yang-Mills theory in SU(3) where a=1,2,...,8.Comment: 52 pages latex, final version, accepted for publication in Eur. Phys.
J. C. arXiv admin note: substantial text overlap with arXiv:1201.266
- …