Higher order effective interactions and effective bosonized model for 2-N particle states
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2016
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In this work, an effective fermion model with particular higher order interactions
given by: III = N n g2n (¯ψaψa)2n , for finite N, is investigated by means of the
auxiliary field method by taking into account 2n-particle states as proposed in Ref. [1].
The bosonized model was found to exhibit an approximate symmetry when expanded for
weak field fluctuations around the mean field solutions. In the present work, the role of
the mean field solutions for the corresponding auxiliary fields is investigated. With the integration
of fermions, the resulting determinant is expanded in a polynomial boson model
in the weak field approximation and the approximate symmetry found for this series does
not appear if the boson mean fields are considered to be zero.
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BRAGHIN, Fabio L. Higher order effective interactions and effective bosonized model for 2-N particle states. EPJ Web of Conferences, Les Ulis, v. 113, e05018, 2016. DOI: 10.1051/epjconf/201611305018. Disponível em: https://www.epj-conferences.org/articles/epjconf/pdf/2016/08/epjconf_fb2016_05018.pdf. Acesso em: 20 abr. 2023.