On certain topological aspects of the family problem

Journal Article · Sun Jun 21 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217732392001397· OSTI ID:7035868

Batakis, N A; Kehagias, A A ^[1]

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1. Div. of Theoretical Physics, Univ. of Ioannina, GR-45110 Ioannina (GR)

In this paper, certain topological aspects of potential significance to the problem of family formation are investigated. Specifically, it is shown that the conventional vacuum state for gauge theories with non-trivial topology and fermions in the fundamental representation of the universal covering group of the gauge group, is not, in general, gauge invariant. The true gauge invariant vacuum, as well as the corresponding generating functionals are constructed. As a result, for the particular case of an SO(10) gauge symmetry over R{sup 3} {times} S{sup 1} which is explicitly considered here, gauge and Lorentz invariance requires the existence of four-fermion generations.

• OSTI ID: 7035868
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:19; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
LORENTZ INVARIANCE
MATHEMATICS
SO GROUPS
SO-10 GROUPS
SYMMETRY GROUPS
TOPOLOGY
VACUUM STATES