Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Author: search.filters.author.Turgut, O. TeomanSubject: search.filters.subject.Bosons

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  • Article
    Citation - WoS: 5
    Citation - Scopus: 5
    A Many-Body Problem With Point Interactions on Two-Dimensional Manifolds
    (IOP Publishing Ltd., 2013) Erman, Fatih; Turgut, O. Teoman
    A non-perturbative renormalization of a many-body problem, where non-relativistic bosons living on a two-dimensional Riemannian manifold interact with each other via the two-body Dirac delta potential, is given by the help of the heat kernel defined on the manifold. After this renormalization procedure, the resolvent becomes a well-defined operator expressed in terms of an operator (called principal operator) which includes all the information about the spectrum. Then, the ground state energy is found in the mean-field approximation and we prove that it grows exponentially with the number of bosons. The renormalization group equation (or Callan-Symanzik equation) for the principal operator of the model is derived and the beta function is exactly calculated for the general case, which includes all particle numbers.