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It is shown the antisymmetric part of the metric tensor is the potential for the spin field. Various metricity conditions are discussed and comparisons are made to other theories, including Einstein's. It is shown in the weak field limit…

广义相对论与量子宇宙学 · 物理学 2019-01-17 Richard T Hammond

Using the language of the Geometric Algebra, we recast the massless Dirac bispinor as a set of Lorentz scalar, bivector, and pseudoscalar fields that obey a generalized form of Maxwell's equations of electromagnetism. The spinor's unusual…

量子物理 · 物理学 2017-07-18 Anastasios Y. Papaioannou

The theory of a free spin-2 field on Minkowski spacetime has 1-form and $(d-3)$-form symmetries associated with conserved currents formed by contractions of the linearised Riemann tensor with conformal Killing-Yano 2-forms. We show that a…

高能物理 - 理论 · 物理学 2024-12-20 Chris Hull , Maxwell L Hutt , Ulf Lindström

We calculate the Wigner function for charged spin-1 particles in inhomogeneous classical electromagnetic fields, going to first order in a power series in $\hbar$. The Boltzmann equation for the scalar distribution function obtained from…

核理论 · 物理学 2022-07-29 David Wagner , Nora Weickgenannt , Enrico Speranza

A class of the $D=4$ gravity models describing a coupled system of $n$ Abelian vector fields and the symmetric $n \times n$ matrix generalizations of the dilaton and Kalb-Ramond fields is considered. It is shown that the Pecci-Quinn axion…

高能物理 - 理论 · 物理学 2014-11-18 O. Kechkin , M. Yurova

In this article we shall consider the tensor gauge fields which are possible to embed into the existing framework of generalized YM theory and therefore allows to construct the gauge invariant and metric independent forms in 2n+4 and 2n+2…

高能物理 - 理论 · 物理学 2013-07-12 George Georgiou , George Savvidy

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory…

高能物理 - 理论 · 物理学 2009-10-31 S. Ferrara , M. A. Lledó

We consider a four dimensional space-time symmetry which is a non trivial extension of the Poincar\'e algebra, different from supersymmetry and not contradicting {\sl a priori} the well-known no-go theorems. We investigate some field…

高能物理 - 理论 · 物理学 2016-09-06 N. Mohammedi , G. Moultaka , M. Rausch de Traubenberg

Earlier we have shown that interacting electron-positron and electromagnetic fields can be considered as a certain microscopic distortion of pseudo-Euclidean properties of the Minkovsky 4-space-time. The known Dirac and Maxwell equations…

高能物理 - 理论 · 物理学 2007-05-23 O. A. Olkhov

After reviewing briefly the classical examples of duality in four dimensional field theory we present a generalisation to arbitrary dimensions and to p-form fields. Then we explain how U-duality may become part of a larger non abelian…

高能物理 - 理论 · 物理学 2007-05-23 Bernard L. Julia

In the first part of this paper we review several formalisms which give alternative ways for describing the light. They are: the formalism `baroque' and the Majorana-Oppenheimer form of electrodynamics, the Sachs' theory of Elementary…

高能物理 - 理论 · 物理学 2007-05-23 Valeri V. Dvoeglazov

A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s \geq 1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral…

数学物理 · 物理学 2008-12-19 Juha Pohjanpelto , Stephen C. Anco

The unconstrained frame-like formulation of an infinite tower of completely symmetric tensor gauge fields is reviewed and examined in the limit where the cosmological constant goes to zero. By partially fixing the gauge and solving the…

高能物理 - 理论 · 物理学 2022-09-07 Xavier Bekaert

We suggest an extension of the Yang-Mills theory which includes non-Abelian tensor gauge fields. The invariant Lagrangian is quadratic in the field strength tensors and describes interaction of charged tensor gauge bosons of arbitrary large…

高能物理 - 理论 · 物理学 2009-11-11 G. Savvidy

We generalize double bracket vector fields, originally defined on semisimple Lie algebras, to Poisson manifolds equipped with a pseudo-Riemannian metric by utilizing a symmetric contravariant 2-tensor field. We extend the normal metric on…

微分几何 · 数学 2025-10-28 Petre Birtea , Zohreh Ravanpak , Cornelia Vizman

We demonstrate that the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) non-Abelian 1-form gauge theory with Dirac fields can be captured within the…

高能物理 - 理论 · 物理学 2015-05-13 R. P. Malik , B. P. Mandal

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is decoupled from the other two gravitons which…

高能物理 - 理论 · 物理学 2013-08-13 Nima Khosravi , Nafiseh Rahmanpour , Hamid Reza Sepangi , Shahab Shahidi

We present a manifestly Lorentz- and SO(2)-Duality-invariant local Quantum Field Theory of electric charges, Dirac magnetic monopoles and dyons. The manifest invariances are achieved by means of the PST-mechanism. The dynamics for classical…

高能物理 - 理论 · 物理学 2009-10-31 K. Lechner , P. A. Marchetti

This thesis focuses on renormalization of quantum field theories. Its first part considers three tensor models in three dimensions, a Fermionic quartic with tensors of rank-3 and two Bosonic sextic, of ranks 3 and 5. We rely upon the…

高能物理 - 理论 · 物理学 2020-10-16 Nicolas Delporte

Dynamics of four-dimensional massless fields of all spins is formulated in the Siegel space of complex $4\times 4$ symmetric matrices. It is shown that the unfolded equations of free massless fields, that have a form of multidimensional…

高能物理 - 理论 · 物理学 2009-10-21 O. A. Gelfond , M. A. Vasiliev