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We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding…

高能物理 - 理论 · 物理学 2009-10-28 E. Fradkin , F. A. Schaposnik

A remarkable thermodynamic fermion-boson symmetry is found for the canonical ensemble of ideal quantum gases in harmonic oscillator potentials of odd dimensions. The bosonic partition function is related to the fermionic one extended to…

统计力学 · 物理学 2015-06-25 H. -J. Schmidt , J. Schnack

Dynamical fermion mass generation is studied in the three-dimensional Thirring model reformulated as a gauge theory by introducing hidden local symmetry. The analysis by use of Schwinger-Dyson equation is shown to exhibit a critical…

高能物理 - 唯象学 · 物理学 2007-05-23 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

The phase transitions at finite temperatures in the systems described by the Bose-Fermi-Hubbard model are investigated in this work in the framework of the selfconsistent random phase approximation. The case of the hard-core bosons is…

其他凝聚态物理 · 物理学 2010-09-07 T S Mysakovych

The one-loop contribution to vacuum polarization is calculated for the adjoint fermions in three dimensional noncommutative spaces, both at zero and finite temperature. At zero temperature, we confirm a previously found result for the…

高能物理 - 理论 · 物理学 2009-11-10 B. Chandrasekhar , Prasanta K. Panigrahi

A quasiclassical correspondent for the fermion degrees of freedom is obtained by using a time-dependent variational principle with Grassmann coherent states as trial functions. In the real parametrization provided by the canonical…

统计力学 · 物理学 2009-11-07 M. Grigorescu , W. E. Baylis

Boson-fermion mixture exist in nature as quark-gluon plasma and $^3$He-$^4$He mixture. We proposed a convective boson-fermion pairing theory, that can be implemented by ultracold atoms in optical superlattice transformation between…

强关联电子 · 物理学 2020-07-09 Tieyan Si

We show that matrix models in Chern-Simons theory admit an interpretation as 1D exactly solvable models, paralleling the relationship between the Gaussian matrix model and the Calogero model. We compute the corresponding Hamiltonians,…

高能物理 - 理论 · 物理学 2010-01-06 Miguel Tierz

Bosonisation of the massive Thirring model, with a non-minimal and non-abelian gauging is studied in 2+1-dimensions. The static abelian model is solved completely in the large fermion mass limit and the spectrum is obtained. The non-abelian…

高能物理 - 理论 · 物理学 2016-09-06 Subir Ghosh

In the case of nonzero fermion mass, within a range of Ansatze for the full fermion-boson vertex, we show that Dyson-Schwinger equation for the fermion propagator in QED3 has two qualitatively distinct dynamical chiral symmetry breaking…

核理论 · 物理学 2015-06-16 Hui-xia Zhu , Hong-tao Feng , Wei-min Sun , Hong-shi Zong

On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are…

统计力学 · 物理学 2015-12-29 Yu. M. Poluektov , A. A. Soroka , S. N. Shulga

We calculate the phonon excitation spectrum in a zero-temperature boson-fermion mixture. We show how the sound velocity changes due to the boson-fermion interaction and we determine the dynamical stability regime of a homogeneous mixture.…

软凝聚态物质 · 物理学 2009-11-07 Han Pu , Weiping Zhang , Martin Wilkens , Pierre Meystre

We study the phase structure of a dilute two-component Fermi system with attractive interactions as a function of the coupling and the polarization or number difference between the two components. In weak coupling, a finite number asymmetry…

其他凝聚态物理 · 物理学 2009-11-11 J. Carlson , Sanjay Reddy

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

高能物理 - 理论 · 物理学 2009-10-28 Joakim Hallin , Per Liljenberg

We investigate theoretically the low-temperature physics of a two-component ultracold mixture of bosons and fermions in disordered optical lattices. We focus on the strongly correlated regime. We show that, under specific conditions,…

其他凝聚态物理 · 物理学 2007-05-23 L. Sanchez-Palencia , V. Ahufinger , A. Kantian , Jakub Zakrzewski , A. Sanpera , M. Lewenstein

Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The…

高能物理 - 理论 · 物理学 2025-06-16 Ian Jack , Hugh Osborn , Tom Steudtner

The Schwinger-Dyson equation of fermion self-energy in the linearization approximation is solved exactly in a theory with gauge and effective four-fermion interactions. Different expressions for the indepedent solutions which respectively…

高能物理 - 理论 · 物理学 2008-11-26 Bang-Rong Zhou

We study the low-energy behavior of metals coupled to gapless bosons. This problem arises in several contexts in modern condensed matter physics; we focus on the theory of metals near continuous quantum phase transitions (where the boson is…

强关联电子 · 物理学 2014-06-06 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Steven A. Kivelson , S. Raghu

We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using…

量子气体 · 物理学 2025-12-11 Giovanni Midei , Jordi Boronat , Grigory E. Astrakharchik

We propose a simple bose-fermi model in two dimensions, with a coupling that converts pairs of opposite spin fermions into localized bosons and vice versa. We show that tracing out one of the degrees, either the bosons or fermions,…

超导电性 · 物理学 2020-10-23 Maciej M. Maśka , Nandini Trivedi