Renormalisation theory of the self-avoiding Levy flight

摘要: The self-avoiding Levy flight (SALF) in d dimensions with exponent mu is formulated as a geometrical equilibrium statistical mechanical problem. A direct renormalisation theory, based on modern field theoretic techniques, used to derive the critical exponents and end-to-end distance probability function through first order epsilon =2 -d. non-perturbative structure of characterised by universal scaling function. SALF represents simple many-body system that can assume continuum values near zero.