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We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable…

High Energy Physics - Phenomenology · Physics 2020-11-18 Sven Huelsmann , Soeren Schlichting , Philipp Scior

We present a non-perturbative regularization scheme for Quantum Field Theories which amounts to an embedding of the originally unregularized theory into a spacetime with an extra compactified dimensions of length L ~ Lambda^{-1} (with…

High Energy Physics - Theory · Physics 2009-11-07 C. D. Fosco , F. A. Schaposnik

We study time dependent correlation functions in hot quantum and classical field theory for the $\lambda\phi^4$ case. We set up the classical analogue of thermal field theory and make a direct comparison between the quantum and classical…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gert Aarts , Jan Smit

The phase transition patterns displayed by a model of two coupled complex scalar fields are studied at finite temperature and chemical potential. Possible phenomena like symmetry persistence and inverse symmetry breaking at high…

High Energy Physics - Phenomenology · Physics 2023-02-24 Manuella C. Silva , Rudnei O. Ramos , Ricardo L. S. Farias

We present a viable method to obtain real-time quantities such as spectral functions or transport coefficients at finite temperature and density within a non-perturbative Functional Renormalization Group approach. Our method is based on a…

High Energy Physics - Phenomenology · Physics 2014-12-10 Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We investigate properties of quark mass functions at finite temperature in quantum chromodynamics calculated by Schwinger-Dyson equation in real-time formalism without the instantaneous exchange approximation, in which one-loop integration…

High Energy Physics - Phenomenology · Physics 2019-12-06 Hidekazu Tanaka , Shuji Sasagawa

In order to investigate the reliability of the classical approximation for non-perturbative real time correlation functions at finite temperature we study the two-point correlator for the anharmonic oscillator. For moderately large times…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. B"odeker

Thermal quantum field theories are expected to obey a relativistic KMS condition, which replaces both the relativistic spectrum condition of Wightman quantum field theory and the KMS condition, which characterises equilibrium states in…

Mathematical Physics · Physics 2014-03-18 Christian D. Jäkel , Florian Robl

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges

Recently, non-perturbative approximate solutions were presented that go beyond the well-known mean-field resummation. In this work, these non-perturbative approximations are used to calculate finite temperature equilibrium properties for…

High Energy Physics - Theory · Physics 2020-04-22 Paul Romatschke

Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Gian Franco Bonini , Christof Wetterich

Field theory at nonvanishing temperature beyond perturbation theory is discussed for the $N$-component $O(N)$-symmetric scalar theory. We compute the effective potential directly in three dimensions using an exact evolution equation for an…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

We present a novel analytical method for calculating the spectral function and the density of states in speckle potentials, valid in the semiclassical regime. Our approach relies on stationary phase approximations, allowing us to describe…

Disordered Systems and Neural Networks · Physics 2016-08-24 Tony Prat , Nicolas Cherroret , Dominique Delande

We consider quantum-to-classical mapping for an arbitrary system of interacting spins at finite temperatures. We prove that, in the large-$S$ limit, the asymptotic form of the partition function coincides with that of a classical model for…

Statistical Mechanics · Physics 2026-02-19 A. El Mendili , M. E. Zhitomirsky

Recently, the spectral expansion of finite temperature two-point functions in integrable quantum field theories was constructed using a finite volume regularization technique and the application of multidimensional residues. In the present…

High Energy Physics - Theory · Physics 2015-06-11 István M. Szécsényi , Gábor Takács

We study the spectral properties of a highly occupied non-Abelian non-equilibrium plasma appearing ubiquitously in weak coupling descriptions of QCD matter. The spectral function of this far-from-equilibrium plasma is measured by employing…

High Energy Physics - Phenomenology · Physics 2018-11-30 K. Boguslavski , A. Kurkela , T. Lappi , J. Peuron

High-temperature resummed perturbation theory is plagued by poor convergence properties. The problem appears for theories with bosonic field content such as QCD, QED or scalar theories. We calculate the pressure as well as other…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Berges , Sz. Borsanyi , U. Reinosa , J. Serreau

It has long been understood that the inclusion of temperature in the perturbative treatment of quantum field theories leads to complications that are not present at zero temperature. In these proceedings we report on the non-perturbative…

High Energy Physics - Phenomenology · Physics 2025-02-21 Peter Lowdon , Owe Philipsen

We use the non-perturbative renormalization group to clarify some features of perturbation theory in thermal field theory. For the specific case of the scalar field theory with O(N) symmetry, we solve the flow equations within the local…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jean-Paul Blaizot , Andreas Ipp , Ramon Mendez-Galain , Nicolas Wschebor

We derive an effective classical theory for real-time SU($N$) gauge theories at high temperature. By separating off and integrating out quantum fluctuations we obtain a 3D classical path integral over the initial fields and conjugate…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. J. Nauta , Ch. G. van Weert