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HIGGS–FIELD AND GRAVITY
Heinz Dehnen *
Physics Department. University of Konstanz
Box M 677. D-78457 Konstanz. Germany
Abstract The only scalar field of concrete physical importance is the Higgs-field of
the elementary particle physics, especially after the possible detection
of the Higgs-particle with a mass of 114 GeV at CERN some weeks
ago in September 2000. Therefore our first question is: Which kind
of interaction is mediated by the exchange of the Higgs–particle? This
question can be answered classically by considering the field equations
following from the Lagrangian of the electro-weak interaction.
Keywords: Higgs field, gravity, gauge theories.
1. HIGGS–FIELD GRAVITY
Without any details the general structure of the electro-weak Lagrangian
is given by
are real parameters of the Higgs-potential). Herein
represents the covariant derivative with respect to the localized group
SU(2) × U(1)
gauge coupling constants, gauge potentials, generators
of the group SU(2) × U(1)) and the gauge field strength is determined
by its commutator according to
furthermore is the Yukawa coupling-matrix of the Yukawa coupling
term for generation of the fermionic masses is a real valued constant,
the only non-dimensionless constant is with the dimension of
*E–mail: Heinz.Dehnen@uni-konstanz.de
Exact Solutions and Scalar Fields in Gravity: Recent Developments
Edited by Macias et al., Kluwer Academic/Plenum Publishers, New York, 2001 101