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The $A + B\to 0$ diffusion-limited reaction, with equal initial densities $a(0) = b(0) = n_0$, is studied by means of a field-theoretic renormalization group formulation of the problem. For dimension $d > 2$ an effective theory is derived,…

Condensed Matter · Physics 2009-10-22 Benjamin P. Lee , John Cardy

We apply the functional renormalization-group (FRG) equation to analyze the nature of the QCD critical point beyond the mean-field approximation by taking into consideration the fact that the soft mode associated with the QCD critical point…

High Energy Physics - Phenomenology · Physics 2014-01-29 K. Kamikado , T. Kunihiro , K. Morita , A. Ohnishi

We solve the nonperturbative renormalization-group flow equations for the two-dimensional XY model at the truncation level of the (complete) second-order derivative expansion. We compute the thermodynamic properties in the high-temperature…

Statistical Mechanics · Physics 2016-07-20 Pawel Jakubczyk , Andreas Eberlein

We investigate the superfluid transition of the Unitary Fermi Gas by means of the Functional Renormalization Group, aiming at quantitative precision. We extract $T_{\rm c}/\mu=0.38(2)$ and $\Delta/\mu=1.04(15)$ for the critical temperature…

Quantum Gases · Physics 2014-06-09 Igor Boettcher , Jan M. Pawlowski , Christof Wetterich

We calculate the dynamical spin-spin correlation functions of a Kondo dot coupled to two noninteracting leads held at different chemical potentials. To this end we generalize a recently developed real-time renormalization group method in…

Strongly Correlated Electrons · Physics 2013-01-11 Dirk Schuricht , Herbert Schoeller

The coherence properties of phase fluctuating Bose-Einstein condensates are studied both theoretically and experimentally. We derive a general expression for the N-particle correlation function of a condensed Bose gas in a highly elongated…

Soft Condensed Matter · Physics 2009-11-10 L. Cacciapuoti , D. Hellweg , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt , L. Santos , M. Lewenstein

We suggest a practical way to estimate the condensate fraction of an interacting dilute Bose gas confined by an external harmonic potential as a function of temperature and scattering length. It shows that an increase of the scattering…

Statistical Mechanics · Physics 2011-11-09 Sang-Hoon Kim

Starting from renormalised Effective Lagrangian, in the presence of an external Chromo-Electric field at finite temperature, the expression for thermal coupling constant ($\alpha = (g^2)/(4 \pi)$) as a function of temperature and external…

High Energy Physics - Theory · Physics 2007-05-23 Avijit K. Ganguly

We investigate the massive Schwinger model in $d=1+1$ dimensions using bosonization and the nonperturbative functional renormalization group. In agreement with previous studies we find that the phase transition, driven by a change of the…

High Energy Physics - Theory · Physics 2022-02-02 Patrick Jentsch , Romain Daviet , Nicolas Dupuis , Stefan Floerchinger

Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential…

Statistical Mechanics · Physics 2007-05-23 Alexander Yu. Cherny , Joachim Brand

We developed a density matrix renormalization-group technique to study quantum Hall fractions of fast rotating bosons. In this paper we present a discussion of the method together with the results which we obtain in three distinct cases of…

Strongly Correlated Electrons · Physics 2010-03-31 D. L. Kovrizhin

We study the interplay of quantum statistics, strong interactions and finite temperatures in the two-component (spinor) Bose gas with repulsive delta-function interactions in one dimension. Using the Thermodynamic Bethe Ansatz, we obtain…

Quantum Gases · Physics 2013-05-29 J. -S. Caux , A. Klauser , J. van den Brink

We use the Renormalization Group method to study the Bose-Einstein condensation of the interacting dilute magnons which appears in three dimensional spin systems in magnetic field. The obtained temperature dependence of the critical field…

Superconductivity · Physics 2007-05-23 M. Crisan , D. Bodea , I. Tifrea , I. Grosu

We derive a differential equation for the one-particle-irreducible vertex functions of interacting fermions as a function of the temperature. Formally, these equations correspond to a Wilsonian renormalization group scheme which uses the…

Strongly Correlated Electrons · Physics 2009-11-07 Carsten Honerkamp , Manfred Salmhofer

We compute thermodynamic properties of dilute Bose gases using non-perturbative approximations of the two-particle irreducible (2PI) effective action. It is shown how to systematically renormalise the self-consistent descriptions beyond…

Quantum Gases · Physics 2026-04-20 Michael H. Heinrich , Alexander Wowchik , Jürgen Berges

We calculate the ultra-relativistic Bose-Einstein condensation temperature of a complex scalar field with weak lambda Phi^4 interaction. We show that at high temperature and finite density we can use dimensional reduction to produce an…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. J. Bedingham , T. S. Evans

We use the Renormalization Group method to study the magnetic field influence on the Bose-Einstein condensation of interacting dilute magnons in three dimensional spin systems. We first considered a model with SU(2) symmetry (universality…

Materials Science · Physics 2009-11-11 M. Crisan , I. Tifrea , D Bodea , I. Grosu

We derive here the equation of state for quark matter with a nontrivial vacuum structure in QCD at finite temperature and baryon density. Using thermofield dynamics, the parameters of thermal vacuum and the gluon condensate function are…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Mishra H. Mishra , S. P. Misra

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is…

Statistical Mechanics · Physics 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

We report on the computation of the shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the diluteness parameter a n^(1/3), where `a' is the scattering length and `n' is the…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening