TY - JOUR

T1 - Local-Lagrangian quantum field theory of electric and magnetic charges

AU - Zwanziger, Daniel

PY - 1971

Y1 - 1971

N2 - We present a local Lagrangian density, depending on a pair of four-potentials A and B, and charged fields n with electric and magnetic charges en and gn. The resulting local Lagrangian field equations are equivalent to Maxwell's and Dirac's equations. The Lagrangian depends on a fixed four-vector, so manifest isotropy is lost and is regained only for quantized values of (engm-gnem). This condition results from the requirement that the representation of the Poincaré Lie algebra which results from Poincaré invariance, integrate to a representation of the finite Poincaré group. The finite Lorentz transformation laws of A, B, and n are presented here for the first time. The familiar apparatus of Lagrangian field theory is applied to yield directly the canonical commutation relations, the energy-momentum tensor, and Feynman's rules.

AB - We present a local Lagrangian density, depending on a pair of four-potentials A and B, and charged fields n with electric and magnetic charges en and gn. The resulting local Lagrangian field equations are equivalent to Maxwell's and Dirac's equations. The Lagrangian depends on a fixed four-vector, so manifest isotropy is lost and is regained only for quantized values of (engm-gnem). This condition results from the requirement that the representation of the Poincaré Lie algebra which results from Poincaré invariance, integrate to a representation of the finite Poincaré group. The finite Lorentz transformation laws of A, B, and n are presented here for the first time. The familiar apparatus of Lagrangian field theory is applied to yield directly the canonical commutation relations, the energy-momentum tensor, and Feynman's rules.

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U2 - 10.1103/PhysRevD.3.880

DO - 10.1103/PhysRevD.3.880

M3 - Article

AN - SCOPUS:0000593357

VL - 3

SP - 880

EP - 891

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 4

ER -