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We develop a new method that allows us to map models of interacting fermions onto bosonic models describing collective excitations in an arbitrary dimension. This mapping becomes exact in the thermodynamic continuous time limit. The boson…

Strongly Correlated Electrons · Physics 2015-05-14 K. B. Efetov , C. Pépin , H. Meier

We study the phase diagram of the one-dimensional Bose-Fermi-Hubbard model at unit filling for the scalar bosons and half filling for the $S=1/2$ fermions using quantum Monte Carlo simulations. The bare interaction between the fermions is…

Quantum Gases · Physics 2023-02-22 Janik Schönmeier-Kromer , Lode Pollet

Recently, ``Higgsless'' models of electroweak symmetry breaking have been proposed. Based on compactified five-dimensional gauge theories, these models achieve unitarity of electroweak boson self-interactions through the exchange of a tower…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Sekhar Chivukula , Hong-Jian He , Masafumi Kurachi , Elizabeth H. Simmons , Masaharu Tanabashi

The low energy properties of different one-dimensional fermionic lattice models are investigated using the bosonization technique. We attach much importance to a proper consideration of the Klein factors which are neglected or inaccurately…

Strongly Correlated Electrons · Physics 2007-05-23 Carmen Mocanu

Simulating interactions between fermions and bosons is central to understanding correlated phenomena, yet these systems are inherently difficult to treat classically. Previous quantum algorithms for fermion-boson models exhibit computation…

Quantum Physics · Physics 2026-01-27 Harriet Apel , Burak Şahinoğlu

The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A=3-6). The separation of the hyperradial part leads to a state…

Nuclear Theory · Physics 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

Bosonization provides a powerful analytical framework to deal with one-dimensional strongly interacting fermion systems, which makes it a cornerstone in quantum many-body theory. Yet, this success comes at the expense of using effective…

Strongly Correlated Electrons · Physics 2017-12-06 Izak Snyman , Serge Florens

We consider the photoassociation of a low-density gas of quantum-degenerate trapped fermionic atoms into bosonic molecules in a spherically symmetric harmonic potential. For a dilute system and the photoassociation coupling energy small…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Takahiko Miyakawa , Pierre Meystre

The general 2-dimensional fermion system with repulsive interactions (typified by the Hubbard Model) is bosonized, taking into account the finite on-shell forward scattering phase shift derived in earlier papers. By taking this phase shift…

Condensed Matter · Physics 2009-10-28 P. W. Anderson , D. Khveshchenko

This article presents a number of technical tools and results that may be instrumental to discern the nature of the Higgs particle. In scenarios where an additional strongly interacting sector is present in the electroweak theory resulting…

High Energy Physics - Phenomenology · Physics 2020-10-28 Antonio Dobado , Domènec Espriu

A model for strong, electroweak and gravitational interactions based on the local symmetry group $G=SU(3)\times SU(2)_{L}\times U(1)\times C$ where $C$ is the local conformal symmetry group is proposed. The natural minimal $G$-invariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marek Pawlowski , Ryszard Raczka

We develop a new method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that depends on the spacetime coordinates and on the position on…

Strongly Correlated Electrons · Physics 2022-08-31 Luca V. Delacretaz , Yi-Hsien Du , Umang Mehta , Dam Thanh Son

Schematic su(2)+h3 interaction Hamiltonians, where su(2) plays the role of the pseudo-spin algebra of fermion operators and h3 is the Heisenberg algebra for bosons, are shown to be closely related to certain nonlinear models defined on a…

Mathematical Physics · Physics 2016-01-07 Angel Ballesteros , Osvaldo Civitarese , Francisco J. Herranz , Marta Reboiro

In this paper we introduce a current-current type interaction term in the Lagrangian density of gravity coupled to complex scalar fields, in the presence of a degenerated Fermi gas. For low transferred momenta such a term, which might…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claudio M. G. de Sousa , J. L. Tomazelli

We analyze the finite-temperature phase diagram of the boson-fermion-Hubbard model with Feshbach converting interaction, using the coherent-state path-integral method. We show that depending on the position of the bosonic band, this type of…

Quantum Gases · Physics 2018-12-13 A. S. Sajna , R. Micnas

Inspired by the recent work by Delacretaz et. al., we rigorously derive an exact and simple method to bosonize a non-interacting fermionic system with a Fermi surface starting from a microscopic Hamiltonian. In the long-wavelength limit, we…

Strongly Correlated Electrons · Physics 2024-03-13 Takamori Park , Leon Balents

While the composite fermion picture is so effective as to describe the excitation spectra including the spin wave for Laughlin's quantum liquid, ``how heavy and how strongly-interacting" remains a formidable question for the composite…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Hideo Aoki

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

Quantum Gases · Physics 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

Recently a new bosonization method has been used to derive, at zero fermion density, an effective action for relativistic field theories whose partition function is dominated by fermionic composites, chiral mesons in the case of QCD. This…

High Energy Physics - Lattice · Physics 2008-11-26 Fabrizio Palumbo

We study the possible contributions of dimension six operators containing fermion fields to Higgs production at a 500 GeV or 1 TeV $e^+e^-$ linear collider. We show that -- depending on the production mechanism -- the effects of such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jennifer Kile , Michael J. Ramsey-Musolf
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