Regge behaviour and Regge trajectory for ladder graphs in scalar phi(3) field theory

Using the gaussian representation for propagators (which can be proved to be exact in the infinite number of loops limit) we are able to derive the Regge behaviour for ladder graphs of phi(3) field theory in a completely new way. An analytic expression for the Regge trajectory alpha(t/m(2)) is found in terms of the mean-values of the Feynman alpha-parameters. alpha(t/m(2)) is calculated in the range -3.6 < t/m(2) < 0.8. The intercept alpha(0) agrees with that obtained from earlier calculations using the Bethe-Salpeter approach for alpha(0) greater than or similar to 0.3.