Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-14
Phys.Lett. B355 (1995) 277-282
Physics
High Energy Physics
High Energy Physics - Theory
8 pages
Scientific paper
10.1016/0370-2693(95)00700-U
We compute the $\beta$-function of a YM theory, broken to $U(1)$, by evaluating the coupling constant renormalization in the broken phase. We perform the calculation in the unitary gauge where only physical particles appear and the theory looks like a version of QED containing massive charged spin 1 particles. We consider an on-shell scattering process and after verifying that the non-renormalizable divergences which appear in the Green's functions cancel in the expression of the amplitude, we show that the coupling constant renormalization is entirely due to the photon self-energy as in QED. However we get the expected asymptotic freedom and the physical charge decreases logarithmically as a function of the symmetry breaking scale.
Bimonte Giuseppe
Iengo Roberto
Lozano Guadalupe
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