Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The gaussian propagator formalism and the determination of the leading
  Regge trajectory for phi^3 field theory   As the number of loops goes to infinity Feynman $\alpha$-parameters undergo a
fixing mechanism which entails a gaussian representation for propagators in
scalar field theories. Here, we describe this mechanism in the fullest detail.
The fixed values are in fact mean-values which can be determined via
consistency conditions. The consistency conditions imply that one
$\alpha$-parameter is integrated in the usual way and the dependence of the
mean-values of the other $\alpha$-parameters on it must be determined. Here we
present a method for doing this exactly which requires the solution of an
equation system. We present an analytic solution for this equation system in
the case of the ladder-graph topology. The Regge behaviour is obtained in a
simple way as well as an analytic expression for the leading Regge trajectory.
Then, the consistency equations for the two (in the ladder case) independent
$\alpha$-parameters mean-values are solved numerically. Agreement with previous
determinations of the intercept $\alpha (0)$ is obtained for $\alpha (0) \
\gsim$ 0.3. However, we are able to calculate $\alpha (t/m^2)$ for - 3.6
$\lsim$ $t/m^2$ $\lsim$ 1.8 and find that it is close to linear.
  We consider the massless limit of the theory and find that the
$\alpha$-parameters mean-values and the trajectory $\alpha (t)$ have limits
which are independent of the mass, a phenomenon which also occurs for
renormalizable theories via the renormalization group equations.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg