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We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

Statistical Mechanics · Physics 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

The classical approximation provides a non-perturbative approach to time-dependent problems in finite temperature field theory. We study the divergences in hot classical field theory perturbatively. At one-loop, we show that the linear…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Bert-Jan Nauta , Chris G. van Weert

We calculate the far-from-equilibrium dynamics and thermalization both for the quantum and the classical O(N)--model. The early and late-time behavior can be described from the 2PI--loop expansion for weak couplings or the nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Berges

The semiclassical Euclidean path integral method is applied to compute the low temperature quantum decay rate for a particle placed in the metastable minimum of a cubic potential in a {\it finite} time theory. The classical path, which…

Quantum Physics · Physics 2008-03-20 Marco Zoli

We investigate the decoherence of a qubit coupled to either a quantum two-level system (TLS) again coupled to an environment, or a classical fluctuator modeled by random telegraph noise. In order to do this we construct a model for the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Henry J. Wold , Håkon Brox , Yuri M. Galperin , Joakim Bergli

We consider a quantum system of fixed size consisting of a regular chain of $n$-level subsystems, where $n$ is finite. Forming groups of $N$ subsystems each, we show that the strength of interaction between the groups scales with $N^{-…

Quantum Physics · Physics 2009-11-10 M. Hartmann , J. Gemmer , G. Mahler , O. Hess

For a high temperature non-Abelian plasma, we reformulate the hard thermal loop approximation as an effective classical thermal field theory for the soft modes. The effective theory is written in local Hamiltonian form, and the thermal…

High Energy Physics - Phenomenology · Physics 2009-10-30 Edmond Iancu

In this paper we develop the thermostatistics of the classical (continuous in space and time) fields. Assuming the thermodynamic equilibrium between the classical field and the thermal reservoir and the Gibbs statistics for the classical…

Statistical Mechanics · Physics 2018-07-25 Sergey A. Rashkovskiy

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

We show how the resummation for time dependent quantities at high temperature can be performed with an effective classical theory. As an application we demonstrate that the leading term in the shear viscosity, which is related to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Jakovac

We consider the time evolution of nonequilibrium quantum scalar fields in the O(N) model, using the next-to-leading order 1/N expansion of the 2PI effective action. A comparison with exact numerical simulations in 1+1 dimensions in the…

High Energy Physics - Phenomenology · Physics 2010-02-04 Gert Aarts , Jurgen Berges

We investigate the renormalizability of the classical $\phi^4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical…

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

We study the retarded response function in scalar $\phi^4$-theory at finite temperature. We find that in the high-temperature limit the imaginary part of the self-energy is given by the classical theory to leading order in the coupling. In…

High Energy Physics - Phenomenology · Physics 2009-10-30 W. Buchmuller , A. Jakovac

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

We show how the quantum to classical transition of the cosmological fluctuations produced during inflation can be described by means of the influence functional and the master equation. We split the inflaton field into the system-field…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Fernando C. Lombardo , Diana Lopez Nacir

The scalar mode temperature fluctuations of the cosmic microwave background has been derived in a spatially closed universe from two different methods. First, by following the photon trajectory after the last scattering and then from the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Pedram Niazy , Amir H. Abbassi

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

We investigate pairwise quantum correlation as measured by the quantum discord as well as its classical counterpart in the thermodynamic limit of anisotropic XY spin-1/2 chains in a transverse magnetic field for both zero and finite…

Quantum Physics · Physics 2015-03-13 J. Maziero , H. C. Guzman , L. C. Celeri , M. S. Sarandy , R. M. Serra

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

A recently proposed method, based on quadrupole and multiplicity fluctuations in heavy ion collisions, is modified in order to take into account distortions due to the Coulomb field. The classical and quantum limits for fermions are…

Nuclear Theory · Physics 2014-03-11 Hua Zheng , Gianluca Giuliani , Aldo Bonasera