Infinite lattice models by an expansion with a non-Gaussian initial approximation

Aleksandr Ivanov , Vasily Sazonov (1)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

Recently, a convergent series employing a non-Gaussian initial approximation was constructed and shown to be an effective computational tool for the finite size lattice models with a polynomial interaction. Here we show that the Borel summability is a sufficient condition for the correctness of the convergent series applied to infinite lattice models. We test the numerical workability of the convergent series method by examining one- and two-dimensional ϕ4 -infinite lattice models. The comparison of the convergent series computations and the infinite lattice extrapolations of the Monte Carlo simulations reveals an agreement between two approaches.

Mots clés: model: lattice; numerical calculations: Monte Carlo; non-Gaussianity; finite size: effect; numerical methods: efficiency; perturbation theory; regularization: dimensional; phi**n model: 4; numerical calculations

Domaines: Physique des Hautes Energies - Réseau [hep-lat]

Aleksandr Ivanov, Vasily Sazonov. Infinite lattice models by an expansion with a non-Gaussian initial approximation. Phys.Lett.B, 2019, 796, pp.52-58. ⟨10.1016/j.physletb.2019.07.001⟩. ⟨hal-01817788⟩