We study the Sine-Gordon field theory at α2 = 8π. We prove that the theory is renormalizable but not superrenormalizable and we show how the perturbative renormalization procedure works in this case where the interaction is not polynomial. To go beyond the perturbative results we investigate the ^-functional equation for this theory and discuss in what sense at α2 = 8π the theory is lacking the asymptotic freedom and how it is asymptotic free for a2 < 8π in a appropriate region of the coupling constants.
Nicolò, F., Perfetti, P. (1989). The Sine-Gordon Field Theory Model at α2 = 8π, the Non-Superrenormalizable Theory. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 123(3), 425-452.
The Sine-Gordon Field Theory Model at α2 = 8π, the Non-Superrenormalizable Theory
PERFETTI, PAOLO
1989-01-01
Abstract
We study the Sine-Gordon field theory at α2 = 8π. We prove that the theory is renormalizable but not superrenormalizable and we show how the perturbative renormalization procedure works in this case where the interaction is not polynomial. To go beyond the perturbative results we investigate the ^-functional equation for this theory and discuss in what sense at α2 = 8π the theory is lacking the asymptotic freedom and how it is asymptotic free for a2 < 8π in a appropriate region of the coupling constants.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
