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Corrections to scaling in the two-dimensional scalar phi^4 model are studiedbased on non-perturbative analytical arguments and Monte Carlo (MC) simulationdata for different lattice sizes L (from 4 to 1536) and different values of thephi^4 coupling constant lambda, i.~e., lambda = 0.1, 1, 10. According to ouranalysis, amplitudes of the nontrivial correction terms with thecorrection-to-scaling exponents omega_l < 1 become small when approaching theIsing limit (lambda --> infinity), but such corrections generally exist in the2D phi^4 model. Analytical arguments show the existence of corrections with theexponent 3/4. The numerical analysis suggests that there exist also correctionswith the exponent 1/2 and, very likely, also corrections with the exponentabout 1/4, which are detectable at lambda = 0.1. The numerical tests clearlyshow that the structure of corrections to scaling in the 2D phi^4 model differsfrom the usually expected one in the 2D Ising model.

Corrections to finite--size scaling in the phi^4 model on square lattices