Fundamental length hypothesis in a gauge theory context

Technical Report · Fri Sep 01 04:00:00 EDT 1978

DOI:https://doi.org/10.2172/6460774· OSTI ID:6460774

Kadyshevsky, V. G.

The new gauge formulation of the electromagnetic interaction theory, containing the fundamental length l as a universal scale like h and c, is worked out. A key part belongs to the 4-dimensional de Sitter p-space, with the curvature radius h/lc. In the new approach the electromagnetic potential becomes a 5-vector associated with de Sitter group 0(4.1). The extra fifth component, called the tau-photon, similar to scalar and longitudinal photons, does not correspond to an independent dynamical degree of freedom. Respectively, the new local gauge group is larger than the ordinary one and depends intrinsically on the fundamental length l. The gauge invariant equations of motion, replacing the Dirac-Maxwell equations, are set up. The new formulation is minimal with respect to the 5-potential but is not so in terms of the usual 4-potential. As a result, the underlying physics looks much richer than the ordinary electromagnetic phenomena. The new scheme predicts the existence of the electric dipole moments for charged particles, leading to a direct violation of P- and CP-symmetries, and the new universal correction to the (g-2)-anomaly. Further, some new group of internal symmetry, SU/sub tau/(2), arises that can be used to describe the ..mu..e-symmetry of the electromagnetic interactions. It turns out that SU/sub -/(2)-symmetry is violated by the 4-fermion type interaction, induced by tau-photons, with associated ocupling constant approx...cap alpha..l/sup 2/. This novel interaction might give rise to the ..mu..e-mass difference and processes like ..mu.. ..-->.. 3e, ..mu.. ..-->.. ..gamma.., etc. In the limit l ..-->.. 0, the new field equations turn into the Dirac-Maxwell equations for the electron, muon and electromagnetic fields. The upper bound for the fundamental length l is discussed taking into account the various experimental data. 4 references.

• Research Organization: Fermi National Accelerator Lab., Batavia, IL (USA)
• DOE Contract Number: EY-76-C-02-3000
• OSTI ID: 6460774
• Report Number(s): FERMILAB-CONF-78/71-THY; CONF-7809126-1
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CHARGED PARTICLES
COUPLING CONSTANTS
CP INVARIANCE
DE SITTER GROUP
DIFFERENTIAL EQUATIONS
DIPOLE MOMENTS
DIRAC EQUATION
DISTANCE
DYNAMICAL GROUPS
ELASTIC SCATTERING
ELECTRIC DIPOLE MOMENTS
ELECTRIC MOMENTS
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY LENGTH
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FERMI INTERACTIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
LIMITING VALUES
MASS DIFFERENCE
MASSLESS PARTICLES
MAXWELL EQUATIONS
MUONS
O GROUPS
P INVARIANCE
PARTICLE PROPERTIES
PHOTONS
POTENTIAL SCATTERING
SCATTERING
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE EQUATIONS
WEAK INTERACTIONS