The extra gauge symmetry of string deformations in electromagnetism with charges and dirac monopoles

Journal Article · Thu Jul 30 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X9200212X· OSTI ID:7248378

Kleinert, H ^[1]

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1. Institut fur Theoretische Physik, Freie Universitat Berlin, Arnimallee 14, D-1000 Berlin 33 (DE)

In this paper, the authors point out that electromagnetism with Dirac magnetic monopoles harbors an extra local gauge invariance called monopole gauge invariance. The gauge transformations act on a gauge field of monopoles F{sup Rho}{sub {mu}{nu}} and are independent of the ordinary electromagnetic gauge invariance. The extra invariance expresses the physical irrelevance of the shape of the Dirac strings attached to the monopoles. The independent nature of the new gauge symmetry is illustrated by comparison with two other systems, superfluids and solids, which are not gauge-invariant from the outset but which nevertheless possess a precise analog of the monopole gauge invariance in the their vortex and defect structure, respectively. The extra monopole gauge invariance is shown to be responsible for the Dirac charge quantization conditions 2eg/{Dirac h}c = integer, which can now be proved for any fixed particle orbits, i.e. without invoking fluctuating orbits which would correspond to the standard derivation using Schrodinger wave functions. The only place where quantum physics enters in our theory is by admitting the action to jump by 2{pi}{Dirac h} {times} integer without physical consequences when moving the string at fixed particle orbits.

• OSTI ID: 7248378
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:19; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
DEFORMATION
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC CHARGES
ELECTROMAGNETISM
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FLUCTUATIONS
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MAGNETIC MONOPOLES
MAGNETISM
MATHEMATICAL MODELS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTIZATION
QUARK MODEL
STRING MODELS
VARIATIONS
WAVE EQUATIONS
WAVE FUNCTIONS