EPJ Web Conf.
Volume 113, 201621st International Conference on Few-Body Problems in Physics
|Number of page(s)||4|
|Published online||25 March 2016|
Higher order effective interactions and effective bosonized model for 2-N particle states
Instituto de Física, Univ. Fed. de Goiás, P.B.131, Campus II, 74.001-970, Goiânia, GO, Brazil
a e-mail: firstname.lastname@example.org
Published online: 25 March 2016
In this work, an effective fermion model with particular higher order interactions given by: , for finite N, is investigated by means of the auxiliary field method by taking into account 2n-particle states as proposed in Ref. . 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.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.