Aspects of symmetry breaking inSO(10) GUTs

General Aspects of Symmetry Breaking

On basis of an algebraic analysis of symmetry breaking in general and the Higgs mechanism in the standard model of elementary particles we generalize the concept of symmetry breaking to systems with non-compact groups but not necessarily caused by a potential. Thereto we give some simple, but unfamiliar examples of symmetry breaking with and without potentials. The analysis of the concept of ma...

Aspects of SUSY and R-Symmetry Breaking

Philosophical Aspects of Spontaneous Symmetry Breaking

This essay expounds the algebraic framework describing general physical theories, within which the phenomenon of spontaneous symmetry breaking (SSB) makes its appearance in infinite quantum systems. This is in contrast with the fact that a large class of theories both classical and quantum, finite and infinite are termed, in the conventional account of classical and quantum mechanics, as exhibi...

Aspects of Dynamical Chiral Symmetry Breaking

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD’s gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields the massive dressed-quark propagator, which has a spectral representation when considered as a function of the current-quark mass. This enables an explication ...

Aspects of Dynamical Symmetry Breaking on a Lattice

In the context of four-fermion and gauge interactions, the Schwinger-Dyson equation for the fermion self-energy function is studied with the Wilson fermion on a lattice. We find that the critical line obtained by Bardeen, Leung and Love is modified. No additional Goldstone bosons appear in the spectrum of fundamental particles. Massive solutions to the Schwinger-Dyson equation turn out to be po...