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This paper is the third in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. In this paper, we motivate and present a general approach…

Mathematical Physics · Physics 2015-06-19 Roland Bauerschmidt , David C. Brydges , Gordon Slade

The influence of boson-boson and boson-fermion interactions on the stability of a binary mixture of bosonic and fermionic atoms is investigated. The density profiles of the trapped mixture are obtained from direct numerical solution of a…

Statistical Mechanics · Physics 2009-11-07 R. Roth , H. Feldmeier

We consider inter- and intra-species pairing interactions in an asymmetrical Fermi system. Using equation of motion method, we obtain coupled mean-field equations for superfluid gap functions and population densities. We construct a phase…

Superconductivity · Physics 2014-04-24 Renyuan Liao , Khandker F. Quader

I study a class of interacting conformal field theories and conformal windows in three dimensions, formulated using the Parisi large-N approach and a modified dimensional-regularization technique. Bosons are associated with composite…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

We suggest a time-dependent mean-field hydrodynamic model for a binary dipolar boson-fermion mixture to study the stability and collapse of fermions in the $^{164}$Dy-$^{161}$Dy mixture. The condition of stability of the dipolar mixture is…

Quantum Gases · Physics 2015-06-15 S. K. Adhikari

We predict a new mechanism to induce collective excitations and a nonequilibrium phase transition of fermionic superfluids via a sudden switch-on of two-body loss, for which we extend the BCS theory to fully incorporate a change in particle…

Quantum Gases · Physics 2021-08-02 Kazuki Yamamoto , Masaya Nakagawa , Naoto Tsuji , Masahito Ueda , Norio Kawakami

A useful tool in non perturbative studies of fermionic theories is partial bosonization. However, partial bosonization is often connected to an ambiguity due to Fierz rearrangement in the original theory. We discuss two different…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joerg Jaeckel

Within the framework of the functional renormalization group, we derived the flow equations for the scale-dependent effective action at finite temperature for models involving an antisymmetric rank-2 tensor field. The analysis focuses on…

High Energy Physics - Theory · Physics 2026-05-15 Georgii Kalagov

In this paper we present a very general theoretical framework for addressing fermionic superfluids over the entire range of BCS to Bose Einstein condensation (BEC) crossover in the presence of population imbalance or spin polarization. Our…

Strongly Correlated Electrons · Physics 2011-09-13 Qijin Chen , Yan He , Chih-Chun Chien , K. Levin

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…

Other Condensed Matter · Physics 2009-11-11 J. Carlson , Sanjay Reddy

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

Motivated by recent developments on cold atom traps and high density QCD we consider fermionic systems composed of two particle species with different densities. We argue that a mixed phase composed of normal and superfluid components is…

Condensed Matter · Physics 2014-10-13 Paulo F. Bedaque , Heron Caldas , Gautam Rupak

We address the problem of the bosonization of finite fermionic systems with two different approaches. First we work in the path integral formalism, showing how a truly bosonic effective action can be derived from a generic fermionic one…

Nuclear Theory · Physics 2007-05-23 Maria B. Barbaro , Maria R. Quaglia

The influence of thermal fluctuations on fermion pairing is investigated using a semiclassical treatment of fluctuations. When the average pairing gaps along with those differing by one standard deviation are used, the characteristic…

Nuclear Theory · Physics 2018-12-27 M. A. A. Mamun , C. Constantinou , M. Prakash

An attempt is made to present modern hopes to find manifestation of supersymmetry, a new symmetry that relates bosons and fermions, in particle physics from the point of view of renormalization group flow. The Standard Model of particle…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. I. Kazakov

We present a consistent fusion of functional renormalization group and mean-field theory which explicitly introduces a bosonic field via a Hubbard-Stratonovich transformation at the critical scale, at which the order sets in. We show that a…

Strongly Correlated Electrons · Physics 2021-01-04 Pietro M. Bonetti

The pairing of fermions is at the heart of superconductivity and superfluidity. The recent experimental realization of strongly interacting atomic Fermi gases has opened a new, controllable way to study novel forms of pairing and…

Soft Condensed Matter · Physics 2009-11-13 Yong-il Shin , Christian H. Schunck , Andre Schirotzek , Wolfgang Ketterle

We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for…

Strongly Correlated Electrons · Physics 2024-11-28 Thomas P. Sheerin , Chris A. Hooley

Using a non-perturbative functional renormalization group approach involving both fermionic and bosonic fields we calculate the interaction-induced change of the Fermi surface of spinless fermions moving on two chains connected by weak…

Strongly Correlated Electrons · Physics 2007-05-23 Sascha Ledowski , Peter Kopietz

We consider the applications of functional renormalisation group to few and many-body systems. As an application to the few-body dynamics we study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length…

Nuclear Theory · Physics 2015-05-14 B. Krippa
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