Gauge Gravity Vacuum in Constraintless Clairaut-Type Formalism

Geometrical formalism in gauge theories

We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the problem of classification of principal fibre bundles, which is important for the quantization of gauge theories. Some results for bundles over two-dimensional...

Vacuum Gauge to Vacuum Pump Valve

Gauge fixing and BRST formalism in non-Abelian gauge theories

In this Thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. We propose first a model to re-write the Faddeev-Popov quantisation method in terms of grouptheoretical techniques and then we give a possible way to solve the no-go theorem of ...

Perturbative formalism of Lovelock gravity

In this work we develop a perturbative formalism for the treatment of Lovelock theories of gravity. We consider in detail D-dimensional models in Lovelock gravity with an induced metric given by the product of the metrics of two maximally symmetric spaces. We first explicitly obtain the Lovelock action, Hamiltonian constraint, gravitational momenta, and dynamical equations for this type of mini...

Second order formalism in Poincaré gauge theory

Changing the set of independent variables of Poincaré gauge theory and considering, in a manner similar to the second order formalism of general relativity, the Riemannian part of the Lorentz connection as function of the tetrad field, we construct theories that do not contain second or higher order derivatives in the field variables, possess a full general relativity limit in the absence of sp...