ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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 β-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 α2〈8π in a appropriate region of the coupling constants.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01238809
Permalink