In the context of stochastic quantization of field theories we propose a method to make analytic computations of critical exponents and we evaluate them for ${\left({\phi }^2\right)}_3^2$. It consists of regularization of the theory by use of a convenient non-Markovian process, where nonlocality in time is measured by the regularizing parameter $\sigma$. For a fixed dimensionality there is a value of $\sigma$ where the theory is renormalizable and asymptotically free in the infrared, allowing a perturbative expansion around it.

• Received 17 September 1984

DOI:https://doi.org/10.1103/PhysRevLett.54.369