Speaker
Prof.
Andrew Koshelkin
(National Research Nuclear University)
Description
The fermion and total currents generated by a gauge field are derived in the framework of the $SU(N)$ gauge theories. Under the condition of gauge invariance, the obtained currents is found to be expressible in terms of the massive vector field generated by the initial gauge field.
In this way, the derived contribution to the mass of the vector field depends strongly on the occupancy numbers of the fermion subsystem, whereas the arisen mass term holds the gauge invariance of the modified Lagrangian, which can be reduced to the pure gluodynamics Lagrangian containing a mass term.
By breaking the initial $SU(N)$ symmetry, we derive the Lagrangian governing the dynamics of the massive scalar particles, which can be treated as the octet of the pseudoscalar mesons. The contribution of both the quark-gluon interaction and self-interaction gluon field into the masses of the octet particles is considered. Provided that the handronization of the confinement matter into the pion triplet occurs, the coupling constant is evaluated in the developed model.
Author
Prof.
Andrew Koshelkin
(National Research Nuclear University)
