The vacuum stability lower bound on the mass of the Higgs boson is numerically investigated in an SU(2)L ⊗ SU(2)R symmetric Yukawa model, which describes two heavy degenerate fermion doublets in the limit of vanishing gauge couplings. Good agreement with perturbation theory is found, although the couplings are strong. The upper bound on the fermion mass and renormalized Yukawa coupling is also ...

: -We show how to construct a topological quantum field theory which corresponds to a given moduli space. We apply this method to the case of flat gauge connections defined over a Riemann surface and discuss its relations with the Chern-Simons theory and conformal field theory. The case of the SO(2,l) group is separately discussed. A topological field theory is linked to the moduli space of “se...

Based on a generalization of the stochastic quantization scheme recently a modified FaddeevPopov path integral density for the quantization of Yang-Mills theory was derived, the modification consisting in the presence of specific finite contributions of the pure gauge degrees of freedom. Due to the Gribov problem the gauge fixing can be defined only locally and the whole space of gauge potentia...

We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras of higher spin fermionic fields in the AdS space and find the corresponding BRST operator. A universal procedure of constructing the gauge invariant Lagrangi...

I propose that the primordial baryon asymmetry of the universe was induced by the presence of a non-vanishing antisymmetric field background Hμνρ across the three space dimensions. This background creates a dilute (B −L)-number density in the universe cancelling the contribution from baryons and leptons. This situation naturally appears if the U(1)B−L symmetry is gauged and the corresponding ga...

Bivariate, hyperbolic third-order linear partial differential operators under the gauge transformations L → g(x, y)−1 ◦ L ◦ g(x, y) are considered. The existence of a factorization, the existence of a factorization that extends a given factorization of the symbol of the operator, and the existence of factorizations with special properties appearing through the consideration of the intersection ...

Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thus providing an extension of the concept of vertex algebra to higher dimensions. Gibbs (finite temperature) expectation values appear as elliptic functions in the conformal time. We survey and further pursue our progra...

The aim of the present article is to give physical meaning to the ingredients of standard gauge field theory in the framework of the scale relativity theory. Owing to the principle of the relativity of scales, the scale-space is not absolute. Therefore, the scale variables are functions of the space-time coordinates, so that we expect a coupling between the displacement in space-time and the di...

We study the phase structure of four-dimensional N = 1 super Yang-Mills theories realized on D6-branes wrapping the RP of a Z2 orbifold of the deformed conifold. The non-trivial fundamental group of RP allows for the gauge group to be broken to various product groups by Z2 Wilson lines. We study the classical moduli space of theories in various pictures related by dualities including an M-theor...

Yang-Mills theories on a 1+1 dimensional cylinder are considered. It is shown that canonical quantization can proceed following different routes, leading to inequivalent quantizations. The problem of the non-free action of the gauge group on the configuration space is also discussed. In particular we re-examine the relationship between “θ-states” and the fundamental group of the configuration s...