English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The dressing of bare massless quarks is described with a spatial theory basedon the self-consistent solution of the QCD field equations. After quantizationthese equations are expressed in terms of quark and gluon creation andannihilation operators and admit a surprisingly elegant exact (operator)solution which eliminates any multi-quark admixtures in the state vector.Hence, this theory is uniquely and exclusively suited to describe the dressingof single bare quarks. After factorizing out the operators, a finite set ofcoupled non-linear differential equations results for the reduced c-numberquark and gluon fields. These yield three distinct solitonlike solutions,corresponding to the three observed quark generations. Physically each solutionrepresents a quark absolutely confined by the gluon potentials it generates.The radii of the three generations are given by (2.0428..., 1 , 1)/E, while thebinding energies are linked to the SU(3) structure constants and given by E -(32/9, 16/9, 1)E, where E sets the energy scale of the system. To stabilize thesystem general relativity is required, putting E in the Planck domain. Afterthe introduction of a vacuum term characterized by the cosmological constantthe dressed quark mass can be expressed in terms of the gravitational andcosmological constant, nevertheless lying in the MeV range. After the inclusionof the other gauge interactions this theory might well serve as a theoreticallaboratory for quantitative tests of the unification of general relativity andQFT in a constrained Planck scale environment.

Spatial QCD theory of the dressing of quarks and the origin of three generations