A. Berard et al., VARIATIONAL 1 N EXPANSION IN STOCHASTIC QUANTIZATION WITH AN AUXILIARY FIELD/, International journal of theoretical physics, 36(3), 1997, pp. 613-623
Stochastic quantization of the O(N) phi(4) scalar field theory leads t
o a variational determination of the self-energy. An auxiliary composi
te field is introduced, leading to a simpler formalism. For a solvable
toy model, variational results are significantly improved with respec
t to those without this auxiliary field, even for its crudest propagat
or approximation.