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We present a covariant formalism for studying nonlinear perturbations of scalar fields. In particular, we consider the case of two scalar fields and introduce the notion of adiabatic and isocurvature covectors. We obtain differential…

Astrophysics · Physics 2010-10-27 David Langlois , Filippo Vernizzi

Gyroscopic systems in classical and quantum field theory are characterized by the presence of at least two scalar degrees of freedom and by terms that mix fields and their time derivatives in the quadratic Lagrangian. In Minkowski…

High Energy Physics - Theory · Physics 2022-11-15 Denis Comelli , Maicol Di Giambattista , Luigi Pilo

It is shown that in the case of the spherically symmetric static backgrounds there is a gauge in which the Dirac equation is manifestly covariant under rotations. This allows us to separate the spherical variables like in the flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ion I. Cotaescu

We investigate the semiclassical dynamics of massless Dirac fermions in 2+1 dimensions in the presence of external electromagnetic fields. By generalizing the $\alpha$ matrices to the spin-$S$ matrices and doing a certain scaling, we…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Moitri Maiti , R. Shankar

The mechanism of the transition of a dynamical system from quantum to classical mechanics is one of the remaining challenges of quantum theory. Currently, it is considered to occur via decoherence caused by entanglement and/or stochastic…

Quantum Physics · Physics 2015-06-16 John S. Briggs , James M. Feagin

The quantization rules recently proposed by M. Navarro (and independently I.V. Kanatchikov) for a finite-dimensional formulation of quantum field theory are applied to the Klein-Gordon and the Dirac fields to obtain the quantum equations of…

High Energy Physics - Theory · Physics 2007-05-23 Miguel Navarro

In a previous paper a formalism to analyze the dynamical evolution of classical and quantum probability distributions in terms of their moments was presented. Here the application of this formalism to the system of a particle moving on a…

Quantum Physics · Physics 2014-12-19 David Brizuela

Several complications arise in quantum field theory because of the infinite many degrees of freedom. However, the distinction between one-particle and many-particle effects -- mainly induced by the vacuum -- is not clear up to now. A field…

High Energy Physics - Theory · Physics 2007-05-23 Bertfried Fauser

In this work we extend and apply a previous proposal to study noncommutative cosmology to the FRW cosmological background coupled to a scalar field, this is done in classical and quantum scenarios. In both cases noncommutativity is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Guzmán , M. Sabido , J. Socorro

The bipartite and tripartite entanglement of a 3-qubit fermionic system when one or two subsystems accelerated are investigated. It is shown that all the one-tangles decrease as the acceleration increases. However, unlike the scalar case,…

Quantum Physics · Physics 2015-05-20 Jieci Wang , Jiliang Jing

In a dynamical lattice simulation with the overlap Dirac operator and $N_f=2$ mass degenerate quarks we study all possible $J=0$ and $J=1$ correlators upon exclusion of the low lying "quasi-zero" modes from the valence quark propagators.…

High Energy Physics - Lattice · Physics 2015-05-25 M. Denissenya , L. Ya. Glozman , C. B. Lang

A kinetic theory for quantum Langmuir waves interacting nonlinearly with quantum ion-acoustic waves is derived. The formulation allows for a statistical analysis of the quantum correction to the Zakharov system. The influence of a…

Plasma Physics · Physics 2009-11-11 M. Marklund

This work presents a comparative analysis of the quasi-normal modes and ringdowns of scalar field perturbations in the non-commutative Schwarzschild black hole spacetime, focusing on two distinct non-minimal curvature couplings: in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Majid Karimabadi , Davood Mahdavian Yekta , S. A. Alavi

A quantum Dirac field theory with no divergences of vacuum energy is presented. The vacuum energy divergence is eliminated by removing a extra degree of freedom of the Dirac fields. The conditions for removing the extra degree of freedom,…

High Energy Physics - Theory · Physics 2007-05-23 Ruo Peng Wang

In this paper we study the foundations of the algebraic treatment of classical and quantum field theories for Dirac fermions under external backgrounds following the initial contributions made by several collegues. The treatment is…

Mathematical Physics · Physics 2024-07-26 Valentino Abram , Romeo Brunetti

We experimentally investigate the dynamics of classical and quantum correlations of a Bell diagonal state in a non-Markovian dephasing environment. The sudden transition from classical to quantum decoherence regime is observed during the…

Quantum Physics · Physics 2015-05-19 Jin-Shi Xu , Chuan-Feng Li , Cheng-Jie Zhang , Xiao-Ye Xu , Yong-Sheng Zhang , Guang-Can Guo

We investigate quantum kinetic theory for a massive fermion system under a rotational field. From the Dirac equation in curved space we derive the complete set of kinetic equations for the spin components of the covariant and equal-time…

High Energy Physics - Phenomenology · Physics 2022-11-09 Shile Chen , Ziyue Wang , Pengfei Zhuang

Based on unified theory of electromagnetic interactions and gravitational interactions, the non-relativistic limit of the equation of motion of a charged Dirac particle in gravitational field is studied. From the Schrodinger equation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ning Wu

We investigate the dynamics of classical and quantum correlations between two qubits. Each qubit is implemented by a pair of phosphorous impurities embedded in a silicon substrate. The main decoherence mechanism affecting these types of…

Quantum Physics · Physics 2015-06-23 F. Lastra , C. E. López , S. A. Reyes , S. Wallentowitz

The phenomenon of particle production for quantum field theories in curved spacetimes is crucial to understand the large-scale structure of a universe from an inflationary epoch. In contrast to the free and fixed-background case, the…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Carlos Fulgado-Claudio , Pablo Sala , Daniel González-Cuadra , Alejandro Bermudez