Correlation dynamics of Yukawa-theory in 1+1 dimensions
S. Juchem - W. Cassing - J.M. Häuser
Institut für Theoretische Physik, Universität Gießen, D-35392 Gießen, Germany
Received: 8 January 1998 / Revised version: 7 April 1998 Communicated by A. Schäfer
Abstract
Using the method of correlation dynamics we investigate the
properties of a field-theory for fermions and
scalar bosons coupled via a Yukawa interaction.
Within this approach, which consists in an expansion of full
equal-time Green functions into connected equal-time
Green functions and a corresponding truncation of the
hierarchy of equations of motion we carry out calculations up
to 4th order in the connected Green functions and evaluate
the effective potential of the theory in 1+1 dimensions on a torus.
Comparing the different approximations we find a
strong influence of the connected 4-point functions on the
properties of the system.
PACS
11.10-z Field theory -
11.10.Ef Lagrangian and Hamiltonian approach -
11.15.Tk Other nonperturbativ techniques
Copyright Springer-Verlag