Author(s)

Ademir E. Santana^1*, Samuel Simon²

¹International Center for Condensed Matter Physics, Instituto de Fisica, Universidade de Brasilia, Brasilia, Brazil.
²Deaprtamento de Filosofia, Universidade de Brasilia, Brasilia, Brazil.

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.

Gauge Fields, Constitutive Elements, Lie Symmetry

Santana, A. and Simon, S. (2015) Constitutive Elements of Non-Abelian Gauge Theories. Journal of Modern Physics, 6, 58-69. doi: 10.4236/jmp.2015.61008.