Critical behaviour in non-integer dimension.

A method for studying critical behaviour in non-integer space dimensions is discussed. The critical exponents of several models commonly used in the theory of phase transitions are calculated for the case of non-integer space dimension. The calculations are performed using a fixed-dimension field theoretical approach. The renormalization group functions in the Callan—Symanzik scheme are considered directly in non-integer dimensions. Perturbation theory expansions are resummed with the use of Padé-Borel transformation. [ABSTRACT FROM AUTHOR]