Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-06
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 12 figures
Scientific paper
In our previously published papers, it was proved that the chromodynamics with massive gluons can well be set up on the gauge-invariance principle. The quantization of the chromodynamics was perfectly performed in the both of Hamiltonian and Lagrangian path-integral formalisms by using the Lagrangian undetermined multiplier method. In this paper, It is shown that the quantum theory is invariant with respect to a kind of BRST-transformations. From the BRST-invariance of the theory, the Ward-Takahashi identities satisfied by the generating functionals of full Green functions, connected Green functions and proper vertex functions are successively derived. As an application of the above Ward-Takahashi identities, the Ward-Takahashi identities obeyed by the massive gluon and ghost particle propagators and various proper vertices are derived and based on these identities, the propagators and vertices are perfectly renormalized. Especially, as a result of the renormalization, the Slavnov-Taylor identity satisfied by renormalization constants is natually deduced. To demonstrate the renormalizability of the theory, the one-loop renormalization of the theory is carried out by means of the mass-dependent momentum space subtraction scheme and the renormalization group approach, giving an exact one-loop effective coupling constant and one-loop effective gluon and quark masses which show the asymptotically free behaviors as the same as those given in the quantum chromodynamics with massless gluons.
Su Jun-Chen
Wang Hai-Jun
No associations
LandOfFree
Renormalization of the quantum chromodynamics with massive gluons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Renormalization of the quantum chromodynamics with massive gluons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization of the quantum chromodynamics with massive gluons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-697836