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Related papers: Scalar Field Dynamics: Classical, Quantum and in B…

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We consider the grand canonical thermodynamics of a noninteracting scalar field in a static spacetime. We take the nonrelativistic limit of thermodynamic quantities in a way that leaves the curved structure of the background geometry…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Levent Akant , Birses Debir , İ. Çağrı İşeri

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts

Different thermalization scenarios for systems with large fields have been proposed in the literature based on classical-statistical lattice simulations approximating the underlying quantum dynamics. We investigate the range of validity of…

High Energy Physics - Phenomenology · Physics 2015-06-18 J. Berges , K. Boguslavski , S. Schlichting , R. Venugopalan

We first carry out the soliton sector quantization of the spatially cut-off $\phi^4_{1+1}$ theory with double well potential in the semiclassical limit, deriving the nonrelativistic Schr\"odinger equation as an equation describing the…

Mathematical Physics · Physics 2026-02-16 David M. A. Stuart

We present numerical results demonstrating the possibility of thermalization of single-particle observables in a one-dimensional integrable system (a quasicondensate of ultra-cold, weakly-interacting bosonic atoms being studied as a…

Quantum Gases · Physics 2011-12-01 Pjotrs Grisins , Igor E. Mazets

We consider the extension of static dimensional reduction to real-time. For a scalar field theory it is shown that in the high-temperature limit this leads to an effective classical theory. Quantum corrections to the leading classical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bert-Jan Nauta , Chris van Weert

We investigate the classical evolution of a $\phi^4$ scalar field theory, using in the initial state random field configurations possessing a fractal measure expressed by a non-integer mass dimension. These configurations resemble the…

Computational Physics · Physics 2011-08-17 N. G. Antoniou , F. K. Diakonos , E. N. Saridakis , G. A. Tsolias

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

We consider a simple model for the Universe reheating, which consists of a single self--interacting scalar field in Minkowskian space--time. Making use of the existence of an additional small parameter proportional to the amplitude of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 D. T. Son

We use the brick wall model to calculate the free energy of quantum scalar field in a curved spacetime (D +1) dimensions. We find the thermodynamics properties of quantum scalar field in several scenaries: Minkowski spacetime, Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2016-07-04 W. A. Rojas C. , J. R. Arenas S

We present simulations of non-equilibrium dynamics of quantum field theories on digital quantum computers. As a representative example, we consider the Schwinger model, a 1+1 dimensional U(1) gauge theory, coupled through a Yukawa-type…

Quantum Physics · Physics 2022-09-19 Wibe A. de Jong , Kyle Lee , James Mulligan , Mateusz Płoskoń , Felix Ringer , Xiaojun Yao

We numerically study the evolution of a classical real scalar field in ${(1+1)}$ dimensions with initial conditions describing thermal fluctuations around a metastable vacuum. We track false vacuum decay in real time and compare several…

High Energy Physics - Theory · Physics 2024-11-06 Dalila Pîrvu , Andrey Shkerin , Sergey Sibiryakov

We address the problem of spin dynamics in the presence of a thermal bath, by solving exactly the appropriate quantum master equations with continued-fraction methods. The crossover region between the quantum and classical domains is…

Quantum Physics · Physics 2007-05-23 J. L. Garcia-Palacios , S. Dattagupta

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

This work is devoted to the study of relaxation--dissipation processes in systems described by Quantum Field Theory. In the first part, I focus on the phi^4 scalar quantum field theory in finite volume in the large N limit. I find that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Manfredini

We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time,…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

We consider a theoretical model of a four-mode Bose-Hubbard model consisting of two pairs of wells coupled via two processes with two different rates. The model is naturally divided into two subsystems with strong intra-system coupling and…

Quantum Physics · Physics 2015-05-20 C. V. Chianca , M. K. Olsen

In approximate dynamical equations, inhomogenous classical (mean) gauge and Higgs fields are coupled to quantized fermions. The equations are solved numerically on a spacetime lattice. The fermions appear to equilibrate according to the…

High Energy Physics - Lattice · Physics 2015-06-25 G. Aarts , J. Smit

We investigate the out-of-equilibrium evolution of a classical background field and its quantum fluctuations in the scalar O(N) model with spontaneous symmetry breaking. We consider the 2-loop 2PI effective action in the Hartree…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Michalski

The motion of a scalar field that interacts with a hot plasma, like the inflaton during reheating, is damped, which is a dissipative process. At high temperatures the damping can be described by a local term in the effective equation of…

High Energy Physics - Phenomenology · Physics 2022-10-05 Dietrich Bodeker , Jan Nienaber
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