ELECTROMAGNETIC KLEIN–GORDON AND DIRAC EQUATIONS IN SCALE RELATIVITY
نویسندگان
چکیده
منابع مشابه
Electromagnetic Klein Gordon and Dirac Equations in Scale Relativity
We present a new step in the foundation of quantum field theory with the tools of scale relativity. Previously, quantum motion equations (Schrödinger, Klein–Gordon, Dirac, Pauli) have been derived as geodesic equations written with a quantum-covariant derivative operator. Then, the nature of gauge transformations, of gauge fields and of conserved charges have been given a geometric meaning in t...
متن کاملRadiative Transport Limit of Dirac Equations with Random Electromagnetic Field
This paper concerns the kinetic limit of the Dirac equation with random electromagnetic field. We give a detailed mathematical analysis of the radiative transport limit for the phase space energy density of solutions to the Dirac equation. Our derivation is based on a martingale method and a perturbed test function expansion. This requires the electromagnetic field to be a space-time random fie...
متن کاملElectromagnetic duality in general relativity
By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action implies the Einstein vacuum equation without the cosmological term. The vacuum equation is invariant under interchange of active and passive electric parts givi...
متن کاملThe Dirac Equation in Projective Relativity.
cussed above would also involve modifications in the equations of macroscopic relativistic mechanics, since these would allow no creation or destruction of energy from the point of view of a local observer. These modifications might prove of interest for the problems of relativistic cosmology. The possible nature of the changes which could be introduced will be discussed in a following note.
متن کاملGeneral Relativity in terms of Dirac Eigenvalues
The eigenvalues of the Dirac operator on a curved spacetime are diffeomorphism-invariant functions of the geometry. They form an infinite set of “observables” for general relativity. Recent work of Chamseddine and Connes suggests that they can be taken as variables for an invariant description of the gravitational field’s dynamics. We compute the Poisson brackets of these eigenvalues and find t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2010
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x10050615