HYPERCUBIC LATTICE SAW EXPONENTS-NU AND EXPONENT-GAMMA - 3.99 DIMENSIONS REVISITED

The self-avoiding walk (SAW) exponents nu and gamma are computed over a range of dimensions (1 less-than-or-equal-to d < infinity) from exact expressions for the mean-square end-to-end distance [R(n)2] and the partition function Q(n) of SAWs having a limited number of steps, n less-than-or-equal-to 11. SAW exponents (nu, gamma) for arbitrary dimension d are estimated by applying standard extrapolation techniques to our direct enumeration data which has been analytically continued to variable dimension. Exponent estimates obtained from continuum theories of self-avoiding paths are compared with the SAW calculations.