Extra-symmetric Born--Infeld theory of electroweak and gravitational fields

Details Extra-symmetric Born--Infeld theory of electroweak and gravitational fields Extra-symmetric Born--Infeld theory of electroweak and gravitational fields

1996-08-11

arxiv.org/abs/quant-ph/9608014v8

Physics

Quantum Physics

preprint exists now as quant-ph/0202024

Scientific paper

This paper suggests a generalization of the Born--Infeld action (1932) for the case of electroweak and gravitational fields. Basic notions one deals with are Dirac matrices, $\gamma_{a}$, and dimensionless covariant derivatives, $\pi_{a} = - i\ell \nabla_{a}$, given in spinorial and scalar representations. The action contains a characteristic length $\ell$ (which is of order of magnitude of Planck's length), as a parameter and possesses an extra symmetry with respect to transformations of the Lorentz group imposed on pairs ($\gamma_{a}$, $\pi_{a}$). It's shown that parameter of the Lorentz group is associated with a constant value of the electroweak potential at spatial infinity.

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