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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

Symmetry breaking plays a pivotal role in modern physics. Although self-similarity is also a symmetry and appears ubiquitously in nature, a fundamental question is whether self-similarity breaking makes sense or not. Here, by identifying…

Statistical Mechanics · Physics 2021-03-05 Weilun Yuan , Shuai Yin , Fan Zhong

A phase-space semiclassical approximation valid to $O(\hbar)$ at short times is used to compare semiclassical accuracy for long-time and stationary observables in chaotic, stable, and mixed systems. Given the same level of semiclassical…

Chaotic Dynamics · Physics 2009-08-14 L. Kaplan

Particle production and its effects on the inflaton field are investigated during the preheating phase of chaotic inflation using a model consisting of a massive scalar inflaton field coupled to N massless quantum scalar fields. The effects…

High Energy Physics - Phenomenology · Physics 2008-11-07 Paul R. Anderson , Carmen Molina-Paris , David Evanich , Gregory B. Cook

We explore the relation between the quantum and semiclassical instanton approximations for the reaction rate constant. From the quantum instanton expression, we analyze the contributions to the rate constant in terms of minimum-action paths…

Chemical Physics · Physics 2019-10-16 Christophe L. Vaillant , Manish J. Thapa , Jiří Vaníček , Jeremy O. Richardson

The robustness of multi-field inflation to the physics of reheating is investigated. In order to carry out this study, reheating is described in detail by means of a formalism which tracks the evolution of scalar fields and perfect fluids…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Jerome Martin , Lucas Pinol

We discuss some subtleties which arise in the semiclassical approximation to quantum gravity. We show that integrability conditions prevent the existence of Tomonaga-Schwinger time functions on the space of three-metrics but admit them on…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. Giulini , C. Kiefer

Transition from quantum to semiclassical behaviour and loss of quantum coherence for inhomogeneous perturbations generated from a non-vacuum initial state in the early Universe is considered in the Heisenberg and the Schr\"odinger…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Julien Lesgourgues , David Polarski , Alexei A. Starobinsky

We study particle production and unitarity violation caused by a curved target space right after inflation. We use the inflaton field value instead of cosmic time as the time variable, and derive a semiclassical formula for the spectrum of…

High Energy Physics - Phenomenology · Physics 2021-06-02 Yohei Ema , Ryusuke Jinno , Kazunori Nakayama , Jorinde van de Vis

Whereas preheating after chaotic and hybrid inflation models has been abundantly studied in the literature, preheating in small field inflation models, where the curvature of the inflaton potential is negative during inflation, remains less…

High Energy Physics - Theory · Physics 2015-03-17 Philippe Brax , Jean-Francois Dufaux , Sophie Mariadassou

Semi-classical gravity attempts to define a hybrid theory in which a classical gravitational field is coupled to a unitarily evolving quantum state. Although semi-classical gravity is inconsistent with observation, a viable theory of this…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Adrian Kent

In a weakly first order phase transition the typical scale of a subcritical bubble calculated in our previous papers turned out to be too small. At this scale quantum fluctuations may dominate and our previous classical result may be…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tetsuya Shiromizu

We consider quantum decay and photofragmentation processes in open chaotic systems in the semiclassical limit. We devise a semiclassical approach which allows us to consistently calculate quantum corrections to the classical decay to high…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Martha Gutierrez , Daniel Waltner , Jack Kuipers , Klaus Richter

We study the supersymmetric hybrid model near and after the end of inflation. As usual, we reduce the model to a purely scalar hybrid model on the level of the classical fields. But on the level of quantum fluctuations and their…

High Energy Physics - Theory · Physics 2009-11-13 J. Baacke , N. Kevlishvili , J. Pruschke

We combine analytical and numerical techniques to study the collapse of conformally coupled massless scalar fields in semiclassical 2D dilaton gravity, with emphasis on solutions just below criticality when a black hole almost forms. We…

High Energy Physics - Theory · Physics 2009-10-30 Sukanta Bose , Leonard Parker , Yoav Peleg

We consider the generation of super-horizon metric fluctuations during an epoch of preheating in the presence of a scalar field \chi quadratically coupled to the inflaton. We find that the requirement of efficient broad resonance is…

High Energy Physics - Phenomenology · Physics 2009-10-31 Karsten Jedamzik , Guenter Sigl

We investigate numerically spherically symmetric collapse of a scalar field in the semi-classical approximation. We first verify that our code reproduces the critical phenomena (the Choptuik effect) in the classical limit and black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shai Ayal , Tsvi Piran

The theory of reheating of the Universe after inflation is developed. The transition from inflation to the hot Universe turns out to be strongly model-dependent and typically consists of several stages. Immediately after inflation the field…

High Energy Physics - Theory · Physics 2009-09-29 Lev Kofman , Andrei Linde , Alexei Starobinsky

It is shown here how the semiclassical theory of electrical susceptibility can be extended to the case in which both radiation and matter are quantized. This is done specifically for the cases of linear and second order susceptibilities.…

Quantum Physics · Physics 2018-06-01 Jairo David García , Boris A. Rodríguez

The work distribution is a fundamental quantity in nonequilibrium thermodynamics mainly due to its connection with fluctuations theorems. Here we develop a semiclassical approximation to the work distribution for a quench process in chaotic…

Quantum Physics · Physics 2017-05-17 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki