Critical phenomena in continuous dimension

We present a calculation of critical phenomena directly in continuous dimension d employing an exact renormalization group equation for the effective average action. For an Ising-type scalar field theory we calculate the critical exponents v (d) and 17 (d) both from a lowest-order and a complete. first-order derivative expansion of the effective average action. In particular, this can be used to study critical behavior as a function of dimensionality at fixed temperature. (C) 2004 Published by Elsevier B.V.