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The functional renormalisation group is employed to study the non-linear regime of late-time cosmic structure formation. This framework naturally allows for non-perturbative approximation schemes, usually guided by underlying symmetries or…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-10 Alaric Erschfeld , Stefan Floerchinger

We give a detailed derivation of the second-order (local) hydrodynamics for Boltzmann equation with an external force by using the renormalization group method. In this method, we solve the Boltzmann equation faithfully to extract the…

Quantum Gases · Physics 2016-04-27 Yuta Kikuchi , Kyosuke Tsumura , Teiji Kunihiro

The application of the exact renormalisation group to symmetric as well as asymmetric many-fermion systems with a short-range attractive force is studied. Assuming an ansatz for the effective action with effective bosons, describing pairing…

High Energy Physics - Phenomenology · Physics 2008-11-26 Boris Krippa

We develop a consistent method for calculating non-equilibrium Green's functions for a nano-sized dot coupled to electron reservoirs by tunneling. The leads are generally at different chemical potentials (non-equilibrium), and the dot may…

Strongly Correlated Electrons · Physics 2007-05-23 Jung Hoon Han

The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The emphasis is placed on a functional integral representation of…

Other Condensed Matter · Physics 2015-05-13 Alex Kamenev , Alex Levchenko

We study transport properties of quantum impurity systems using the functional renormalization group. The latter is an RG-based diagrammatic tool to treat Coulomb interactions in a fast and flexible way. Prior applications, which employed a…

Strongly Correlated Electrons · Physics 2010-09-21 C. Karrasch

We derive the formalism for steady state nonequilibrium dynamical mean-field theory in a real-time formalism along the Kadanoff-Baym contour. The resulting equations of motion are first transformed to Wigner coordinates (average and…

Strongly Correlated Electrons · Physics 2009-11-11 J. K. Freericks , V. M. Turkowski

We study the quench and the ramp dynamics of interacting $N$-component charged bosons with dipole symmetry using Schwinger-Keldysh field theory in the large $N$ limit. The equilibrium phase diagram of these bosons shows two phases in the…

Quantum Gases · Physics 2023-12-27 Md Mursalin Islam , K. Sengupta , Rajdeep Sensarma

We discuss the non-equilibrium time evolution of the phase field in the sine-Gordon model using two very different approaches: the truncated Wigner approximation and the truncated conformal space approach. We demonstrate that the two…

Quantum Gases · Physics 2019-07-17 D. X. Horvath , I. Lovas , M. Kormos , G. Takacs , G. Zarand

We study nonequilibrium evolution in a self-interacting quantum field theory invariant under space translation only by using a canonical approach based on the recently developed Liouville-von Neumann formalism. The method is first used to…

High Energy Physics - Phenomenology · Physics 2009-11-10 Supratim Sengupta , F. C. Khanna , Sang Pyo Kim

In this paper, we study the equilibrium states of a $N\times N$ stochastic complex random matrix $M$, whose entries evolve in time accordingly with a Langevin equation including both Gaussian white noises and a linear disorder, materialized…

High Energy Physics - Theory · Physics 2024-06-11 Vincent Lahoche , Dine Ousmane Samary

A nonperturbative approach is developed to analyze superconducting circuits coupled to quantized electromagnetic continuum within the framework of the functional renormalization group. The formalism allows us to determine complete physical…

Quantum Physics · Physics 2023-05-03 Takeru Yokota , Kanta Masuki , Yuto Ashida

An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time. The evolutional equations of the ensemble are…

Statistical Mechanics · Physics 2015-06-24 S. R. Sharov

The coupled equations which describe the temporal evolution of the Bose-Einstein condensed system are derived in the framework of nonequilibrium Thermo Field Dynamics. The key element is that they are not the naive assemblages of presumable…

Quantum Gases · Physics 2011-02-01 Y. Nakamura , Y. Yamanaka

We discuss the exact renormalization group or flow equation for the effective action and its decomposition into one particle irreducible N point functions. With the help of a truncated flow equation for the four point function we study the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ulrich Ellwanger

We present new nonlinear differential equations for spacetime correlation functions of Fermi gas in one spatial dimension. The correlation functions we consider describe non-stationary processes out of equilibrium. The equations we obtain…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Bettelheim , A. G. Abanov , P. Wiegmann

Known results on two-dimensional quantum electrodynamics (QED_2) have been used to study the dependence of functional renormalization group equations on renormalization schemes and approximations applied for its bosonized version. It is…

High Energy Physics - Theory · Physics 2011-10-03 I. Nandori

We obtain equilibration rates for a one-dimensional nonlocal Fokker-Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of a large swarm of robots, feeling each other in terms of their distance,…

Analysis of PDEs · Mathematics 2023-06-06 Ferdinando Auricchio , Giuseppe Toscani , Mattia Zanella

We review our work on the application of the renormalization-group method to obtain first- and second-order relativistic hydrodynamics of the relativistic Boltzmann equation (RBE) as a dynamical system, with some corrections and new…

Nuclear Theory · Physics 2015-06-05 Kyosuke Tsumura , Teiji Kunihiro

A novel refinement of the conventional treatment of Kadanoff--Baym equations is suggested. Besides the Boltzmann equation another differential equation is used for calculating the evolution of the non-equilibrium two-point function.…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Jakovac