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We establish the renormalization group equation for the running action in the context of a one quantum particle system. This equation is deduced by integrating each fourier mode after the other in the path integral formalism. It is free of…

Quantum Physics · Physics 2009-11-06 P. Gosselin , H. mohrbach

Deriving accurate energy density functional is one of the central problems in condensed matter physics, nuclear physics, and quantum chemistry. We propose a novel method to deduce the energy density functional by combining the idea of the…

Strongly Correlated Electrons · Physics 2018-03-01 Haozhao Liang , Yifei Niu , Tetsuo Hatsuda

We show that the renormalization group decimation of modern nucleon potential models to low momenta results in a unique nucleon interaction V_{low k}. This interaction is free of short-ranged singularities and can be used directly in…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , B. Friman , S. K. Bogner , G. E. Brown , T. T. S. Kuo

We improve the recently developed functional renormalization group (fRG) for impurities and boundaries in Luttinger liquids by including renormalization of the two-particle interaction, in addition to renormalization of the impurity…

Strongly Correlated Electrons · Physics 2007-05-23 S. Andergassen , T. Enss , V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

We study the nature of the finite-temperature chiral transition in QCD with N_f light quarks in the adjoint representation (aQCD). Renormalization-group arguments show that the transition can be continuous if a stable fixed point exists in…

High Energy Physics - Theory · Physics 2009-11-10 Francesco Basile , Andrea Pelissetto , Ettore Vicari

The perturbative approach to the description of long wavelength excitations at high temperature breaks down near the critical point of a second order phase transition. We study the \emph{dynamics} of these excitations in a relativistic…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Boyanovsky , H. J. de Vega

The application of the nonperturbative renormalisation group approach to a system with two fermion species is studied. Assuming a simple ansatz for the effective action with effective bosons, describing pairing effects we derive a set of…

Nuclear Theory · Physics 2016-09-08 Boris Krippa

We apply the finite-temperature renormalization-group (RG) to a model based on an effective action with a short-range repulsive interaction and a rotation invariant Fermi surface. The basic quantities of Fermi liquid theory, the Landau…

Strongly Correlated Electrons · Physics 2009-10-30 Guennady Y. Chitov , D. Senechal

The quark-meson-coupling model is used to study droplet formation from the liquid-gas phase transition in cold asymmetric nuclear matter. The critical density and proton fraction for the phase transition are determined in the mean field…

Nuclear Theory · Physics 2009-10-31 G. Krein , D. P. Menezes , M. Nielsen , C. Providencia

In a finite temperature Thomas-Fermi theory, we construct caloric curves for finite nuclei enclosed in a freeze-out volume few times the normal nuclear volume, with and without inclusion of flow. Without flow, the caloric curve indicates a…

Nuclear Theory · Physics 2009-01-23 S. K. Samaddar , J. N. De , S. Shlomo

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 study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

Building on the discussion in PRA 93, 042510 (2016), we present a systematic derivation of gradient corrections to the kinetic-energy functional and the one-particle density, in particular for two-dimensional systems. We derive the leading…

Quantum Gases · Physics 2017-09-08 Martin-Isbjörn Trappe , Yink Loong Len , Hui Khoon Ng , Berthold-Georg Englert

We compute high-order baryon number fluctuations at finite temperature and density within a QCD-assisted low energy effective field theory. Quantum, thermal and density fluctuations are incorporated with the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2021-10-04 Wei-jie Fu , Xiaofeng Luo , Jan M. Pawlowski , Fabian Rennecke , Rui Wen , Shi Yin

Starting from many quark interactions, we construct a nonlinear sigma-omega model at finite temperature and density. The mesons are introduced as auxiliary fields. Effective quark-meson couplings are strongly related to effective meson…

Nuclear Theory · Physics 2007-05-23 H. Kouno , T. Sakaguchi , K. Kashiwa , M. Hamada , H. Tokudome , M. Matsuzaki , M. Yahiro

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases…

Strongly Correlated Electrons · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla , Matthias Vojta

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

Nuclear Theory · Physics 2009-10-31 Sudhir R. Jain

We explore the phase diagram of strongly interacting matter as a function of temperature and baryon number density, using a class of models for two-flavor QCD in which the interaction between quarks is modelled by that induced by…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges , K. Rajagopal

Based on the results obtained in a previous paper (S. Gaudio et al., cond-mat/0505309}, we derive the thermodynamic properties of a Fermi gas, deep into the quantum degenerate regime. We show that, if Luttinger's theorem holds, a first…

Strongly Correlated Electrons · Physics 2007-05-23 Sergio Gaudio , Jason Jackiewicz , Kevin S. Bedell

Color superconductivity in cold, dense quark matter is a key feature of the QCD phase diagram, whose present theoretical understanding relies predominantly on weak-coupling calculations. In this work, we revisit the evaluation of the…

High Energy Physics - Phenomenology · Physics 2025-08-28 Yuki Fujimoto
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