Instanton Contributions in Two-Dimensional Nonlinear O(3)σModel | Zendy

Y. Iwasaki | Zendy

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Instanton Contributions in Two-Dimensional Nonlinear O(3)σModel

Author(s) -

Y. Iwasaki

Publication year - 1981

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.47.754

Subject(s) - physics , instanton , coupling constant , lattice (music) , lattice constant , mathematical physics , monte carlo method , regularization (linguistics) , lattice field theory , particle physics , quantum mechanics , diffraction , statistics , mathematics , gauge theory , acoustics , artificial intelligence , computer science

The correlation length in the two-dimensional nonlinear O(3) σ model is calculated with contributions of instantons included. It is given by ξ=0.0125a exp[2π/f(a)]f(a)/2π where f(a) is the coupling constant defined in lattice regularization scheme and a is the lattice spacing. This number remarkably coincides with the result of Monte Carlo simulations by Shenker and Tobochnik

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