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We make an intensive investigation of the soft mode at the quantum chromodynamics (QCD) critical point on the basis of the functional renormalization group (FRG) method in the local potential approximation. We calculate the spectral…

High Energy Physics - Phenomenology · Physics 2016-07-19 Takeru Yokota , Teiji Kunihiro , Kenji Morita

We theoretically study the electromagnetic interaction in Dirac systems with $N$ nodes by using the renormalization group, which is relevant to the quantum critical phenomena of topological phase transition ($N=1$) and Weyl semimetals…

Strongly Correlated Electrons · Physics 2015-03-02 Hiroki Isobe , Naoto Nagaosa

The problem of an electron gas interacting via exchanging transverse gauge bosons is studied using the renormalization group method. The long wavelength behavior of the gauge field is shown to be in the Gaussian universality class with a…

Condensed Matter · Physics 2009-10-22 Junwu Gan , Eugene Wong

We apply the functional renormalisation group to few-nucleon systems. Our starting point is a local effective action that includes three- and four-nucleon interactions, expressed in terms of nucleon and two-nucleon boson fields. The…

Nuclear Theory · Physics 2015-03-20 Michael C. Birse , Boris Krippa , Niels R. Walet

We derive and solve flow equations for a general O(N)-symmetric effective potential including wavefunction renormalization corrections combined with a heat-kernel regularization. We investigate the model at finite temperature and study the…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Bohr , B. -J. Schaefer , J. Wambach

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a…

Quantum Physics · Physics 2019-11-26 Mehdi Abdi

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group…

Condensed Matter · Physics 2009-10-28 M. Bijlsma , H. T. C. Stoof

Recently the scaling result $z=d$ for the dynamic critical exponent at the Bose glass to superfluid quantum phase transition has been questioned both on theoretical and numerical grounds. This motivates a careful evaluation of the critical…

Disordered Systems and Neural Networks · Physics 2015-05-30 Hannes Meier , Mats Wallin

We investigate equilibrium and steady-state non-equilibrium transport properties of a spinless resonant level locally coupled to two conduction bands of width ~\Gamma via a Coulomb interaction U and a hybridization t'. In order to study the…

Strongly Correlated Electrons · Physics 2015-05-14 C. Karrasch , M. Pletyukhov , L. Borda , V. Meden

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

Critical behaviour of a fluid, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. As a simplified model, relaxational stochastic dynamics of a non-conserved scalar order…

Statistical Mechanics · Physics 2008-11-26 N. V. Antonov , A. A. Ignatieva

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

Statistical Mechanics · Physics 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

We study renormalization group flows in far-from-equilibrium states. The study is made tractable by focusing on states that are spatially homogeneous, time-independent, and scale-invariant. Such states, in which mode $k$ has occupation…

High Energy Physics - Theory · Physics 2025-04-09 Vladimir Rosenhaus , Michael Smolkin

We study elastic systems such as interfaces or lattices, pinned by quenched disorder. To escape triviality as a result of ``dimensional reduction'', we use the functional renormalization group. Difficulties arise in the calculation of the…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

This is an introduction to the use of nonperturbative flow equations in strong interaction physics at nonzero temperature and baryon density. We investigate the QCD phase diagram as a function of temperature, chemical potential for baryon…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

We investigate the one-dimensional mixture of scalar bosons and spin polarized fermions interacting through a $\delta$-function potential. Using a thermodynamic description derived by employing a lattice embedding of the continuum model and…

Quantum Gases · Physics 2019-02-08 Ovidiu I. Patu , Andreas Klumper

We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance $x$ as $\sim x^{-d-\sigma}$ in a $d$-dimensional space. It is known to belong to a new long-range random…

Statistical Mechanics · Physics 2025-12-30 D. Shapoval , M. Dudka

We consider the d-dimensional imperfect (mean-field) Bose gas confined in a slit-like geometry and subject to periodic boundary conditions. Within an exact analytical treatment we first extract the bulk critical properties of the system at…

Statistical Mechanics · Physics 2015-06-16 M. Napiorkowski , P. Jakubczyk , K. Nowak

We study weakly-repulsive Bose-Bose mixtures in two and three dimensions at zero temperature using the functional renormalization group (FRG). We examine the RG flows and the role of density and spin fluctuations. We study the condition for…

Quantum Gases · Physics 2021-01-26 Felipe Isaule , Ivan Morera , Artur Polls , Bruno Juliá-Díaz
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