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We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

We derive the Boltzmann equation and the collision kernel for massive spin-1/2 particles, using the Wigner-function formalism and employing an expansion in powers of $\hbar$. The phase space is enlarged to include a variable related to the…

Nuclear Theory · Physics 2021-08-04 Nora Weickgenannt , Enrico Speranza , Xin-li Sheng , Qun Wang , Dirk H. Rischke

In this paper we reexamine the problem of the separation of spin and charge degrees of freedom in two dimensional strongly correlated systems. We establish a set of sufficient conditions for the occurence of spin and charge separation.…

Condensed Matter · Physics 2009-10-22 Christopher Mudry , Eduardo Fradkin

Electrons in one-dimension display the unusual property of separating their spin and charge into two independent entities: The first, which derive from uncharged spin-1/2 electrons, can travel at different velocities when compared with the…

Strongly Correlated Electrons · Physics 2012-09-26 Daniel Vieira

In this note the velocity field and the associated tangential stress corresponding to the rotational flows of a generalized second grade fluid within an infinite circular cylinder are determined by means of the Laplace and Hankel…

Mathematical Physics · Physics 2008-02-27 Amir Mahmood , Saifullah , Qammar Rubab

Higher spin tensor gauge fields have natural gauge-invariant field equations written in terms of generalised curvatures, but these are typically of higher than second order in derivatives. We construct geometric second order field equations…

High Energy Physics - Theory · Physics 2009-11-10 P. de Medeiros , C. Hull

Elemental chromium orders antiferromagnetically near room temperature, but the ordering temperature can be driven to zero by applying large pressures. We combine diamond anvil cell and synchrotron x-ray diffraction techniques to measure…

Consistency conditions for the local existence of massless spin 3/2 fields has been explored that the field equations for massless helicity 3/2 are consistent iff the space-time is Ricci-flat and that in Minkowski space-time the space of…

High Energy Physics - Theory · Physics 2009-11-07 Mitsuo J. Hayashi

We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32 Wigner equations reduce to 4 independent…

High Energy Physics - Phenomenology · Physics 2019-10-02 Jian-Hua Gao , Zuo-Tang Liang

Recent years have seen the first production of "post-adiabatic" gravitational-waveform models based on second-order gravitational self-force theory. These models rely on calculations of an effective source in the perturbative second-order…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Samuel D. Upton , Barry Wardell , Adam Pound , Niels Warburton , Leor Barack

Let X be a smooth manifold of dimension 1+n endowed with a lorentzian metric g, and let T be the electromagnetic energy tensor associated to a 2-form F. In this paper we characterize this tensor T as the only 2-covariant natural tensor…

General Relativity and Quantum Cosmology · Physics 2012-10-23 J. Navarro , J. B. Sancho

The Wigner function, which provides a phase-space description of quantum systems, has various applications in quantum mechanics, quantum kinetic theory, quantum optics, radiation transport and others. The concept of Wigner function has been…

High Energy Physics - Theory · Physics 2013-04-05 Stanislaw Mrowczynski

In this work we study the renormalization of the electrodynamics of spin 1/2 fermions in the Poincar\'e projector formalism which is second order in the derivatives of the fields. We analyze the superficial degree of divergence of the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Rene Angeles-Martinez , Mauro Napsuciale

We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein equation with nonvanishing stress tensor can be decomposed…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stephen R. Green , Stefan Hollands , Peter Zimmerman

Over decades, the time evolution of Wigner functions along classical Hamiltonian flows has been used for approximating key signatures of molecular quantum systems. Such approximations are for example the Wigner phase space method, the…

Numerical Analysis · Mathematics 2014-11-11 Wolfgang Gaim , Caroline Lasser

We derive a relativistic chiral kinetic equation with manifest Lorentz covariance from Wigner functions of spin-1/2 massless fermions in a constant background electromagnetic field. It contains vorticity terms and a 4-dimensional Euclidean…

High Energy Physics - Theory · Physics 2013-07-30 Jiunn-Wei Chen , Shi Pu , Qun Wang , Xin-Nian Wang

A recently found (gr-qc/0303036) 2-index, symmetric, trace-free, divergence-free tensor is introduced for arbitrary source-free electromagnetic fields. The tensor can be constructed for any test Maxwell field in Einstein spaces (including…

General Relativity and Quantum Cosmology · Physics 2007-05-23 José M. M. Senovilla

This paper characterizes the symmetric rank-2 stress-energy-momentum tensor associated with fields whose Lagrangian densities are expressed as the dot product of two multivector fields, e. g., scalar or gauge fields, in flat space-time. The…

General Physics · Physics 2021-04-15 Alfonso Martinez , Josep Font-Segura , Ivano Colombaro

This paper presents a novel and systematic formalism for deriving classical field equations within the framework ofcausal fermion systems, explicitly accounting for higher-order corrections such as quantum effects and those arising from…

Mathematical Physics · Physics 2025-07-15 Felix Finster , Patrick Fischer

Formal connections between the spin density matrix and the Wigner function for spin-1/2 particles forming a relativistic gas are explored to determine their general structures. They suggest that the commonly used form of the local…

High Energy Physics - Phenomenology · Physics 2025-09-30 Samapan Bhadury , Zbigniew Drogosz , Wojciech Florkowski , Sudip Kumar Kar , Valeriya Mykhaylova