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Novikov-Furutsu (NF) theorem is a well-known mathematical tool, used in stochastic dynamics for correlation splitting, that is, for evaluating the mean value of the product of a random functional with a Gaussian argument multiplied by the…

Mathematical Physics · Physics 2021-06-04 Gerassimos A. Athanassoulis , Konstantinos I. Mamis

Most results in multifractal analysis are obtained using either a thermodynamic approach based on existence and uniqueness of equilibrium states or a saturation approach based on some version of the specification property. A general…

Dynamical Systems · Mathematics 2019-02-20 Vaughn Climenhaga

We illustrate how to calculate the finite-temperature linear-response conductance of quantum impurity models from the Matsubara Green function. A continued fraction expansion of the Fermi distribution is employed which was recently…

Strongly Correlated Electrons · Physics 2015-05-19 C. Karrasch , V. Meden , K. Schönhammer

This work is devoted to the Keldysh model of flutter suppression and rigorous approaches to its analysis. To solve the stabilization problem in the Keldysh model we use an analog of direct Lyapunov method for differential inclusions. The…

Chaotic Dynamics · Physics 2018-03-20 N. V. Kuznetsov , G. A. Leonov

The theory of real-time quantum many-body dynamics as put forward in Ref. [arXiv:0710.4627] is evaluated in detail. The formulation is based on a generating functional of correlation functions where the Keldysh contour is closed at a given…

Quantum Gases · Physics 2011-02-09 Thomas Gasenzer , Stefan Kessler , Jan M. Pawlowski

The self-energy functional theory (SFT) is generalized to describe the real-time dynamics of correlated lattice-fermion models far from thermal equilibrium. This is achieved by means of a reformulation of the original equilibrium theory in…

Strongly Correlated Electrons · Physics 2013-10-21 Felix Hofmann , Martin Eckstein , Enrico Arrigoni , Michael Potthoff

In magnetized plasma physics, almost all developed analytic theories assume a Maxwellian distribution function (MDF) and in some cases small deviations are described using the perturbation theory. The deviations with respect to the…

Plasma Physics · Physics 2016-10-27 Olivier Izacard

The Keldysh three- and four-point functions are related to analytical continuations of the Imaginary Time amplitudes,in momentum space. The relation provides an interesting interpretation of the amplitudes that are specific to the Keldysh…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Guerin

Simulations of finite temperature quantum systems provide imaginary frequency Green's functions that correspond one-to-one to experimentally measurable real-frequency spectral functions. However, due to the bad conditioning of the…

Strongly Correlated Electrons · Physics 2021-02-10 Jiani Fei , Chia-Nan Yeh , Emanuel Gull

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

High Energy Physics - Theory · Physics 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

Filinski constructed a symmetric lambda-calculus consisting of expressions and continuations which are symmetric, and functions which have duality. In his calculus, functions can be encoded to expressions and continuations using primitive…

Logic in Computer Science · Computer Science 2021-02-01 Tatsuya Abe , Daisuke Kimura

In this paper we develop and compare different real-time methods to calculate spectral functions. These are classical-statistical simulations, the Gaussian state approximation (GSA), and the functional renormalization group (FRG) formulated…

High Energy Physics - Phenomenology · Physics 2022-06-23 Johannes V. Roth , Dominik Schweitzer , Leon J. Sieke , Lorenz von Smekal

We apply the retarded/advanced formalism of real time field theory to the QED or QED like case. We obtain a general expression for the imaginary part of the two-point correlation function in terms of discontinuities. The hard loop expansion…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Aurenche , T. Becherrawy , E. Petitgirard

In the field of quantum many-body physics, the spectral (or Lehmann) representation simplifies the calculation of Matsubara n-point correlation functions if the eigensystem of a Hamiltonian is known. It is expressed via a universal kernel…

Strongly Correlated Electrons · Physics 2023-11-23 Johannes Halbinger , Benedikt Schneider , Björn Sbierski

We present a minimal pole method for analytically continuing matrix-valued imaginary frequency correlation functions to the real axis, enabling precise access to off-diagonal elements and thus improving the interpretation of self-energies…

Strongly Correlated Electrons · Physics 2024-12-16 Lei Zhang , Yang Yu , Emanuel Gull

We develop a non-equilibrium quantum field theory of the free-electron laser based on the Preparata model, using the real-time Keldysh formalism. Starting from a microscopic Lagrangian for a relativistic electron beam coupled to a single…

Quantum Physics · Physics 2025-12-08 Loris Di Cairano

The search for the conjectured QCD critical point in heavy-ion collisions requires to account for far-from equilibrium effects as well as fluctuations, and in particular non-Gaussian fluctuations, in the modeling of the dynamics of the hot…

High Energy Physics - Theory · Physics 2025-04-29 Navid Abbasi , Dirk H. Rischke

We show that the density matrix for a finite conductor attached to reservoirs obtained by Keldysh formalism is of MacLennan-Zubarev form. On the basis of the fact that the density matrix is the invariant part proposed by Zubarev, it is…

Mesoscale and Nanoscale Physics · Physics 2008-04-18 Tatsuya Fujii

We construct a nonperturbative nonequilibrium theory for graphene electrons interacting via the instantaneous Coulomb interaction by combining the functional renormalization group method with the nonequilibrium Keldysh formalism. The…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 Christian Fräßdorf , Johannes E. M. Mosig

In this work, we present a method to reconstruct real-frequency properties from analytically continued causal Green's functions within the framework of Migdal-Eliashberg (ME) theory for superconductivity. ME theory involves solving a set of…

Superconductivity · Physics 2024-10-15 D. M. Khodachenko , R. Lucrezi , P. N. Ferreira , M. Aichhorn , C. Heil