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Evolution of structure functions and their moments at low and moderate $Q^2$ is studied in the chiral field theory. Evolution equations based on perturbation expansion in the coupling constant of the effective theory are derived and solved…

High Energy Physics - Phenomenology · Physics 2016-09-06 Kakali Ray-Maity , Padmanabha Dasgupta

Using the quantum theory of linearized gravity, gravitational interaction differential cross sections of one fermion by another fermion, a photon and a scalar particle are calculated in the fermion rest-frame. Then, according to the…

General Physics · Physics 2018-12-19 T. Olyaei , A. Aziziy

Rotation of polarization in an external gravitational field is one of the effects of general relativity that can serve as a basis for its precision tests. A careful analysis of reference frames is crucial for a proper evaluation of this…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Aharon Brodutch , Tommaso F. Demarie , Daniel R. Terno

We derive the chiral kinetic theory under the presence of a gravitational Riemann curvature. It is well-known that in the chiral kinetic theory there inevitably appears a redundant ambiguous vector corresponding to the choice of the Lorentz…

High Energy Physics - Theory · Physics 2021-05-06 Tomoya Hayata , Yoshimasa Hidaka , Kazuya Mameda

We develop a formulation of global thermodynamics for equilibrium systems under the influence of gravity. The free energy for simple fluids is extended to include a dependence on $(T, V, N, mgL)$, where $L$ represents the vertical system…

Statistical Mechanics · Physics 2025-06-26 Naoko Nakagawa , Shin-ichi Sasa , Takamichi Hirao , Tsuyoshi Shiina , Kyosuke Tachi , Akira Yoshida

The effects of an external field on the dynamics of chiral symmetry breaking are studied using quenched, ladder QED as our model gauge field theory. It is found that a uniform external magnetic field enables the chiral symmetry to be…

High Energy Physics - Theory · Physics 2009-10-31 C. N. Leung

The coherence properties of the classical waves are discussed in terms of the Cauchy problem for the wave equation, and of a discrete representation by an ensemble of Hamiltonian systems. Wave quanta are related to specific "action fields",…

Quantum Physics · Physics 2021-09-15 M. Grigorescu

A symmetry analysis is presented for the three-dimensional nonrelativistic motion of charged particles in arbitrary stationary electromagnetic fields. The general form of the Lie point symmetries is found along with the fields that respect…

Mathematical Physics · Physics 2015-06-15 Nikos Kallinikos , Efthymia Meletlidou

We derive a quantum kinetic theory for QED based on Kadanoff-Baym equations for Wigner functions. By assuming parity invariance and considering a complete set of self-energy diagrams, we find the resulting kinetic theory expanded to lowest…

High Energy Physics - Phenomenology · Physics 2022-05-10 Shu Lin

We have recently developed a position-dependent quantization scheme for describing the ladder and effective photon-number operators associated with the electric field to analyze quantum optical energy transfer in lossy and dispersive…

Quantum Physics · Physics 2014-12-02 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki

Using quantum electrodynamics as an example, a dependence of physical predictions of quantum field theory in a finite perturbation theory order on the choice of renormalization scheme is studied. It is shown that On-Mass-Shell…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Konychev

Maxwell's equations hold in inertial reference frames in uniform translational motion relative to one another. In conjunction with the Lorentz coordinate transformation equations, the transformation equations for the electric and magnetic…

General Physics · Physics 2007-05-23 D. M. Snyder

While a physical theory should be independent of the coordinate frame chosen by any observer, the observations themselves in fact depend on the choice of coordinates. In particular, different coordinate frames reflect different symmetries…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Antonia Seifert

A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the…

High Energy Physics - Theory · Physics 2015-06-26 Jan Sladkowski

Difference Kinetic Equations are derived quantum mechanically in a plane wavelets representation with account of two-particle correlations. It is shown that the set of plane wavelet orthonormal functions is complete. The set of ket vectors…

Quantum Physics · Physics 2012-03-15 Alexandr A. Klyukanov

The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to calculated the path integral which apply to the continuous…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Kikuchi

We prove that ideal chiral hydrodynamics, as derived from chiral kinetic theory, is acausal and its initial-value problem is ill-posed both in the linearized case around a local equilibrium solution and also in the full nonlinear regime.…

High Energy Physics - Theory · Physics 2023-03-15 Enrico Speranza , Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

A conceptual framework for variational formulations of physical theories is proposed. Such a framework is displayed here just for statics, but it is designed to be subsequently adapted to variational formulations of static field theories…

General Physics · Physics 2021-03-25 Wlodzimierz M. Tulczyjew

Building on the results of previous work, we demonstrate how matter fields are incorporated into the general linear frame approach to general relativity. When considering the Maxwell one-form field, we find that the system that leads…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. A. Clayton

A finite Larmor radius approximation is derived from the classical Vlasov equation, in the limit of large (and uniform) external magnetic field. We also provide an heuristic derivation of the electroneutrality equation in the finite Larmor…

Analysis of PDEs · Mathematics 2013-05-10 Philippe Ghendrih , Maxime Hauray , Anne Nouri