Quadratic Gauge Research Articles

The application of spin coefficient techniques in the vacuum quadratic Poincar� gauge field theory

The vacuum field equations of the quadratic Poincare gauge field theory are expressed in the spin coefficient formalism of Newman and Penrose. These are differential identities involving curvature and torsion and, for an NP-type approach, must be combined with the NP-identities in aU4 given by Jogia and Griffiths (1980). The use of the formalism is demonstrated in the derivation of some new exact solutions.

Cosmological constant and regular Bianchi type-1 models with radiation in the minimum quadratic gauge theory of gravity

It is shown that within the framework of the minimum quadratic gauge theory of gravity in the Riemann-Cartan space by including a cosmological term we can construct regular homogeneous anisotropic Bianchi type-1 cosmological methods with spinless as well as spinning radiation.

Quark confinement and the short-range component of general affine gauge gravity

Within the framework of a gauge field theory based on the general affine space-time symmetry, we propose a certain purely quadratic gauge field lagrangian. In the large-scale region it yields an Einstein-Cartan-like gravity with Newton's constant generated spontaneously, while in the particle domain it yields a renormalizable theory with a confining potential applying to quarks and not to leptons.

Quadratic gauge fixing in Yang-Mills theories

We study quadratic gauge fixing conditions in Yang-Mills theories. We show that renormalisation induces quartic ghost coupling and that the resulting BRS invariant lagrangian is not unique. The theory admits a new parameter which is argued to be unphysical.

Post-Newtonian approximation of the Poincaré gauge theory of gravitation

The post-Newtonian approximation of the scalar-field limit of the quadratic Poincare gauge theory of gravitation is calculated. After all gauge degrees of freedom for the tetrads are fixed with respect to the usual parametrized post-Newtonian (PPN) gauge conditions for the metric, we find that the quadratic gauge theory agrees with the Einstein theory as well as or better than the PPN limit for components of the metric.