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. [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.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. [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.

arXiv:1511.04365EPJ Web of ConferencesJan 1, 20160 citations

Bosonization of fermion interaction

Seiju Ami

Sep 13, 19960 citations

Higher order effective interactions and effective bosonized model for 2-N particle states

Fábio L. Braghin

\nIn this work, an effective fermion model with particular higher order interactions given by: ${I_{II}} = \\mathop \\sum \\limits_n^N g{2^n}{({\\bar \\psi _a}{\\psi _a})^{{2^n}}}$ , 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.\n\nIn this work, an effective fermion model with particular higher order interactions given by: ${I_{II}} = \\mathop \\sum \\limits_n^N g{2^n}{({\\bar \\psi _a}{\\psi _a})^{{2^n}}}$, 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.\n

Mar 25, 20160 citations

BOSON-FERMION INTERACTIONS

V. A. Yatsun

Jan 1, 19920 citations

Bosonization of Interacting Fermions in Arbitrary Dimensions

Peter Kopietz

arXiv:cond-mat/0605402Lecture notes in physics. M, MonographsJan 1, 1997107 citations

Interaction Effects on Phase Stiffness in Bose–Fermi Mixture Systems

Somei Suga, Kenta Shiina, 弘之森

Bose–Fermi atom mixture systems confined in a ring geometry threaded by a synthesized magnetic field were theoretically investigated in numerical and analytical approaches. Numerical simulations were performed to study effects of the boson–boson interactions and boson–fermion interactions on phase stiffness. In the simulations, the phase stiffness was measured for repulsive and attractive boson–fermion interactions and found to increase with the repulsive interactions and decrease with the attractive ones. There was also a characteristic behavior found in the phase stiffness with the attractive interactions under a certain condition of the particle number. We confirmed these effects by renormalization group calculations including higher-order fluctuations.Bose–Fermi atom mixture systems confined in a ring geometry threaded by a synthesized magnetic field were theoretically investigated in numerical and analytical approaches. Numerical simulations were performed to study effects of the boson–boson interactions and boson–fermion interactions on phase stiffness. In the simulations, the phase stiffness was measured for repulsive and attractive boson–fermion interactions and found to increase with the repulsive interactions and decrease with the attractive ones. There was also a characteristic behavior found in the phase stiffness with the attractive interactions under a certain condition of the particle number. We confirmed these effects by renormalization group calculations including higher-order fluctuations.

Journal of the Physical Society of JapanApr 26, 20170 citations

\nIn this work, an effective fermion model with particular higher order interactions given by:

{I_{II}} = \\mathop \\sum \\limits_n^N g{2^n}{({\\bar \\psi _a}{\\psi _a})^{{2^n}}}

, 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.\n