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The one-loop partition function for a charged self-interacting Bose gas at finite temperature in D-dimensional spacetime is evaluated within a path integral approach making use of zeta-function regularization. For D even, a new additional…

High Energy Physics - Theory · Physics 2009-10-30 Emilio Elizalde , Antonio Filippi , Luciano Vanzo , Sergio Zerbini

The paper contains some preliminary results about the problem of Bose condensation at zero temperature. It is shown that the usual picture of three dimensional Bose condensation, the so called Bogoliubov approximation, can be explained in…

Condensed Matter · Physics 2009-10-22 G. Benfatto

These lectures are centered around a specific problem, the effect of weak repulsive interactions on the transition temperature $T_c$ of a Bose gas. This problem provides indeed a beautiful illustration of many of the techniques which have…

Statistical Mechanics · Physics 2008-01-03 Jean-Paul Blaizot

We study a $\phi^4$-theory at finite temperature in a finite volume. Quantum, thermal and volume fluctuations are treated with the functional renormalisation group. Specifically, we focus on the interplay of temperature and length scales…

High Energy Physics - Phenomenology · Physics 2015-04-21 Leonard Fister , Jan Martin Pawlowski

The universal critical behavior of the driven-dissipative non-equilibrium Bose-Einstein condensation transition is investigated employing the field-theoretical renormalization group method. Such criticality may be realized in broad ranges…

Statistical Mechanics · Physics 2014-04-18 Uwe C. Tauber , Sebastian Diehl

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

Quantum Gases · Physics 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

The one-loop effective potential for non-relativistic bosons with a delta function repulsive potential is calculated for a given chemical potential using functional methods. After renormalization and at zero temperature it reproduces the…

Statistical Mechanics · Physics 2009-10-30 T. Haugset , H. Haugerud , F. Ravndal

A perturbative renormalization group approach is employed to study the effect of a periodic potential on a system of one-dimensional bosons in a non-equilibrium steady-state due to an initial interaction quench. The renormalization group…

Strongly Correlated Electrons · Physics 2015-05-30 Aditi Mitra , Thierry Giamarchi

We calculate the temperature dependent condensate density $\rho^0 (T)$ of interacting bosons in three dimensions using the functional renormalization group (FRG). From the numerical solution of suitably truncated FRG flow equations for the…

Quantum Gases · Physics 2010-03-16 Christopher Eichler , Nils Hasselmann , Peter Kopietz

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

The pion superfluid and the corresponding Goldstone and soft modes are investigated in two-flavor quark-meson model with functional renormalization group. By solving the flow equations for the effective potential and the meson two-point…

High Energy Physics - Phenomenology · Physics 2017-07-19 Ziyue Wang , Pengfei Zhuang

The thermodynamic properties of an ideal bosonic system composed of particles and antiparticles at finite temperatures are examined within the framework of a scalar field model. It is assumed that particle-antiparticle pair creation occurs;…

Nuclear Theory · Physics 2025-07-16 D. Anchishkin , V. Gnatovskyy , I. Kondakova

We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, $\beta$-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation…

High Energy Physics - Phenomenology · Physics 2024-03-29 Koichi Funakubo , Eibun Senaha

We consider a non-ideal hot pion gas with the dynamically fixed number of particles in the model with the $\lambda\phi^4$ interaction. The effective Lagrangian for the description of such a system is obtained after dropping the terms…

Nuclear Theory · Physics 2018-04-04 E. E. Kolomeitsev , D. N. Voskresensky

We investigate the critical behavior of pion superfluidity in the frame of functional renormalization group. By solving the flow equation in the SU(2) linear sigma model with pion superfluidity at finite temperature and isospin density, and…

High Energy Physics - Phenomenology · Physics 2016-11-03 Ziyue Wang , Pengfei Zhuang

We investigate Bose-Einstein condensation for ultracold bosonic atoms in two-dimensional systems. The functional renormalization group for the average action allows us to follow the effective interactions from molecular scales…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich

Fermionic functional renormalization group (f-FRG) is applied to describe Bose-Einstein condensation (BEC) of dimers for a two-component fermionic system with attractive contact interaction. In order to describe the system of dimers without…

Quantum Gases · Physics 2014-02-12 Yuya Tanizaki

QCD at nonzero isospin chemical potentials has phenomenological relevance for a series of physical systems and provides an ideal testground for the modeling of dense strongly interacting matter. The two-flavor quark-meson model is known to…

High Energy Physics - Phenomenology · Physics 2025-09-09 Bastian B. Brandt , Volodymyr Chelnokov , Gergely Endrodi , Gergely Marko , Daniel Scheid , Lorenz von Smekal

Density and thermal corrections to the mass of the pions are studied in the framework of the SU(2) low energy effective chiral lagrangian, in terms of the isospin chemical potential $\mu_\tin{I}$. We concentrate the discussion in the region…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Loewe , C. Villavicencio