Gauge theory of Lorentz group as a source of the dynamical electroweak symmetry breaking

• Published in: The journal of high energy physics Vol. 2013; no. 9; pp. 1 - 21
• Main Author: Zubkov, M. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2013; Springer Nature B.V
• Subjects: Broken symmetry; Classical and Quantum Gravitation; Discretization; Elementary Particles; Fermions; Gauge theory; Hierarchies; High energy physics; Joining; Mathematical analysis; Mathematical models; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Technicolor and Composite Models; Beyond Standard Model; Models of Quantum Gravity; Lattice Gauge Field Theories
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2013)044

A bstract We consider the gauge theory of Lorentz group coupled in a nonminimal way to fermions. We suggest the hypothesis that the given theory may exist in the phase with broken chiral symmetry and without confinement. The lattice discretization of the model is described. This unusual strongly coupled theory may appear to be the source of the dynamical electroweak symmetry breaking. Namely, in this theory all existing fermions interact with the SO(3, 1) gauge field. In the absence of the other interactions the chiral condensate may appear and all fermionic excitations may acquire equal masses. Small corrections to the gap equations due to the other interactions may cause the appearance of the observed hierarchy of masses.