Eur. Phys. J. C 19, 567-582
DOI: 10.1007/s100520100630

Zero-dimensional field theory

E.N. Argyres¹, A.F.W. van Hameren^{1, 2}, R.H.P. Kleiss² and C.G. Papadopoulos<sup>1

1</sup>  Institute of Nuclear Physics, NCSR "Demokritos", 15310 Athens, Greece
²  University of Nijmegen, Nijmegen, The Netherlands

andrevh@sci.kun.nl
kleiss@sci.kun.nl
Costas.Papadopoulos@cern.ch

(Received: 1 February 2001 / Published online: 23 March 2001 -© Springer-Verlag 2001)

Abstract
A study of zero-dimensional theories, based on exact results, is presented. First, relying on a simple diagrammatic representation of the theory, equations involving the generating function of all connected Green's functions are constructed. Second, exact solutions of these equations are obtained for several theories. Finally, renormalization is carried out. Based on the anticipated knowledge of the exact solutions the full dependence on the renormalized coupling constant is studied.

© Società Italiana di Fisica, Springer-Verlag 2001