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Explosive particle production due to parametric resonance is a crucial feature of reheating in inflationary cosmology. Coherent oscillations of the inflaton field act as a periodically varying mass in the evolution equation for matter…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. Zanchin , A. Maia , W. Craig , R. Brandenberger

Thermal field theory is applied to particle production rates in inflationary models, leading to new results for catalysed, or two-stage decay, where massive fields act as decay channels for the production of light fields. A numerical…

High Energy Physics - Phenomenology · Physics 2009-01-08 Chris M Graham , Ian G Moss

We derive quantum Boltzmann equations for preheating by means of the density matrix formalism, which account for both the non-adiabatic particle production and the leading collisional processes between the produced particles. In so doing,…

High Energy Physics - Theory · Physics 2018-10-01 William T. Emond , Peter Millington , Paul M. Saffin

Parametric resonance has been discussed as a mechanism for copious particle production following inflation. Here we present a simple and intuitive calculational method for estimating the efficiency of parametric amplification as a function…

Astrophysics · Physics 2009-09-15 Ivaylo Zlatev , Greg Huey , Paul J. Steinhardt

We consider the long time evolution of a quantum particle weakly interacting with a phonon field. We show that in the weak coupling limit the Wigner distribution of the electron density matrix converges to the solution of the linear…

Mathematical Physics · Physics 2015-06-26 Laszlo Erdos

We calculate resonances which are formed by a particle in a potential which is either Coulombian or quadratic when the particle is strongly coupled to a massless boson, taking only two energy levels into consideration. From these…

Quantum Physics · Physics 2009-11-13 Claude Billionnet

Particle production processes in the expanding universe are described within a simple kinetic model. The equilibrium conditions for a Maxwell-Boltzmann gas with variable particle number are investigated. We find that radiation and…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Winfried Zimdahl , Josep Triginer , Diego Pavon

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We compute matrix elements of the evolution operator in the stochastic…

Quantum Physics · Physics 2009-10-31 L. Accardi , S. V. Kozyrev , I. V. Volovich

Elementary particle resonances have been systematically analysed using all available experimental data. We have come to the conclusion that the resonance decay prodact momenta and masses of resonances are to be quantized. The Balmer- like…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. A. Gareev , M. Yu. Barabanov , G. S. Kazacha

Using the non-equilibrium quantum field theory, photon production from the coherently oscillating axion field in a flat Robertson-Walker cosmology is re-examined. First neglecting the Debye screening of the baryon plasma to photons, we find…

High Energy Physics - Phenomenology · Physics 2009-10-31 Da-Shin Lee , Kin-Wang Ng

A Boltzmann equation, used to describe the evolution of the density function of a gas of photons interacting by Compton scattering with electrons at low density and non relativistic equilibrium, is considered. A truncation of the very…

Analysis of PDEs · Mathematics 2019-05-22 E. Cortés , M. Escobedo

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

We propose a new mechanism of non-thermal particle production during inflation based on a narrow parametric resonance, akin to the dynamics of post-inflationary preheating. The mechanism is based on the production of scalar particles with a…

High Energy Physics - Phenomenology · Physics 2025-07-18 Diogo S. Gorgulho , João G. Rosa

Non-linear parametric resonances occur frequently in nature. Here we summarize how they can be studied by means of perturbative methods. We show in particular how resonances can affect the motion of a test particle orbiting in the vicinity…

Astrophysics · Physics 2007-05-23 P. Rebusco

Field amplification and particle production due to parametric resonance are highly nontrivial predictions of quantum fields that couple to an oscillating source during inflation and reheating. Understanding this two effects is crucial for…

High Energy Physics - Phenomenology · Physics 2019-08-28 Tao Zhu , Qiang Wu , Anzhong Wang

The non-equilibrium dynamics of stochastic light in a coherently-driven nonlinear cavity resembles the equilibrium dynamics of a Brownian particle in a scalar potential. This resemblance has been known for decades, but the correspondence…

Optics · Physics 2021-07-06 J. Busink , P. Ackermans , K. G. Cognee , S. R. K. Rodriguez

The particle production in the self-interacting N-component complex scalar field theory is studied at large N. A non-Markovian source term that includes all higher order back-reaction and collision effects is derived. The kinetic amplitudes…

High Energy Physics - Theory · Physics 2009-11-10 Fuad M. Saradzhev

We investigate the decay dynamics of oscillons through interactions with an external scalar field. To examine how robust the decay dynamics of oscillons via parametric resonance we previously found in Li et al. 2025 are to the specific form…

High Energy Physics - Phenomenology · Physics 2025-11-06 Siyao Li

Consider a microscopic system of $N$ hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3$. When the number $N$ of particles goes to infinity and the…

Analysis of PDEs · Mathematics 2026-02-05 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella