Globalni model boje QCDe za hadronske procese

The global colour model (GCM) of QCD is a quark-gluon quantum field theory that very successfully models QCD for low energy hadronic processes. An effective gluon correlator models the interaction between quark currents. Functional integral calculus allows the GCM to be hadronised. The dominant configuration of the hadronic functional integrals is revealed to be the constituent quark effect, and is identical to the truncated quark Dyson-Schwinger equations (tDSE). However the GCM shows that hadronic physics requires processes that go beyond the tDSE. In this review examples of meson and nucleon processes are given. The GCM also plays a pivotal role in showing how QCD may be related to many other hadronic models.Globalni model boje (GCM) kvantne kromodinamike (QCD) je kvantna teorija polja kvarkova i gluona kojom se vrlo uspješno modeliraju procesi QCD na niskim energijama. Efektivni gluonski korelator služi za opisivanje međudjelovanja struja kvarkova. Funkcionalni integralni račun dozvoljava opis hadronizacije u GCM. Najvažnije konfiguracije hadronskih funkcionalnih integrala se javljaju kao učinak konstituentnih kvarkova, što je jednakovrijedno krnjoj kvarkovskoj Dyson-Schwingerovoj jednadžbi (tDSE). Međutim, GCM pokazuje da hadronska fizika zahtijeva opis procesa koji prelaze tDSE. U ovom pregledu daju se primjeri za mezonske i nukleonske procese. GCM je važan jer pokazuje kako se QCD odnosi prema mnogim hadronskim modelima

A New Mass Formula for NG Bosons in QCD

An often used mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate $$, $f_{\pi}$ and the quark current masses. We argue, within the context of the Global Colour Model to QCD, that this expression is wrong. Analysis of the interplay between the Dyson-Schwinger equation for the constituent quark effect and the Bethe-Salpeter equation for the NG boson results in a new mass formula.Comment: Minor correction. Extended text incl. appendi

Globalni model boje QCDe za hadronske procese

The global colour model (GCM) of QCD is a quark-gluon quantum field theory that very successfully models QCD for low energy hadronic processes. An effective gluon correlator models the interaction between quark currents. Functional integral calculus allows the GCM to be hadronised. The dominant configuration of the hadronic functional integrals is revealed to be the constituent quark effect, and is identical to the truncated quark Dyson-Schwinger equations (tDSE). However the GCM shows that hadronic physics requires processes that go beyond the tDSE. In this review examples of meson and nucleon processes are given. The GCM also plays a pivotal role in showing how QCD may be related to many other hadronic models.Globalni model boje (GCM) kvantne kromodinamike (QCD) je kvantna teorija polja kvarkova i gluona kojom se vrlo uspješno modeliraju procesi QCD na niskim energijama. Efektivni gluonski korelator služi za opisivanje međudjelovanja struja kvarkova. Funkcionalni integralni račun dozvoljava opis hadronizacije u GCM. Najvažnije konfiguracije hadronskih funkcionalnih integrala se javljaju kao učinak konstituentnih kvarkova, što je jednakovrijedno krnjoj kvarkovskoj Dyson-Schwingerovoj jednadžbi (tDSE). Međutim, GCM pokazuje da hadronska fizika zahtijeva opis procesa koji prelaze tDSE. U ovom pregledu daju se primjeri za mezonske i nukleonske procese. GCM je važan jer pokazuje kako se QCD odnosi prema mnogim hadronskim modelima

Quark and Gluon Propagators from Meson Data

We report robust calculations of various low energy QCD hadronic properties. We use a multi-rank separable expansion for the gluon propagator which greatly facilitates the numerical computations within the Global Colour Model for QCD. The parameters for the propagators are determined by fitting experimental values for $f_{\pi}$ and the $\pi$ and $a_1$ meson masses.Comment: 12 pages. Extended text. 3 new figures. Figures also available from [email protected]