Eliminating leading corrections to scaling in the three-dimensionalO(N)-symmetric ϕ⁴model:N= 3 and 4

We study corrections to scaling in the O(3)and O(4)-symmetric 4 model on the three-dimensional simple cubic lattice with nearest neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite size scaling method. We find that there exists a finite value of the coupling * , for both values of N , where leading corrections to scaling vanish. As a first application, we compute the critical exponents = 0.710(2) and = 0.0380(10) for N = 3 and = 0.749(2) and = 0.0365(10) for N = 4.