TITLE:
Constitutive Elements of Non-Abelian Gauge Theories
AUTHORS:
Ademir E. Santana, Samuel Simon
KEYWORDS:
Gauge Fields, Constitutive Elements, Lie Symmetry
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.1,
January
22,
2015
ABSTRACT: A set, S, of constitutive elements
characterizing mechanical theories is defined. In S, the role played by concepts such as mass, particle, fields and
symmetry is discussed. This structure is first used to consider the Nother’s
theorem from an algebraic point of view. As examples, we explore
non-relativistic quantum mechanics and special relativistic particles. The set S is then applied to analyze non-abelian
gauge theories, considering the Higgs mechanism for generation of mass.