Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-12-24
Prog.Theor.Phys. 95 (1996) 409-420
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, latex, 6 figures
Scientific paper
10.1143/PTP.95.409
The non-perturbative Wegner-Houghton renormalization group is analyzed by the local potential approximation in O(N) scalar theories in d-dimensions $(3\leq d\leq 4)$. The leading critical exponents \nu are calculated in order to investigate the effectiveness of the local potential approximation by comparing them with the other non-perturbative methods. We show analytically that the local potential approximation gives the exact exponents up to $O(\epsilon )$ in \epsilon-expansion and the leading in 1/N-expansion. We claim that this approximation offers fairly accurate results in the whole range of the parameter space of N and d. It is a great advantage of our method that no diverging expansions appear in the procedure.
Aoki Ken-Ichi
Morikawa Keiichi
Souma Wataru
Sumi Jun-Ichi
Terao Haruhiko
No associations
LandOfFree
The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-303690