2011/10/05 by J. Buitrago, Buitrago, J., S. Hajjawi +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.1110.0924
e-mail: [email protected], [email protected]
arxiv created 2011/10/05 · openalex publication_date 2011/10/05 · arxiv updated 2011/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a previous paper we introduced two linear spinor equations equivalent to the Lorentz Force and stated that these equations were fairly general and could be applied to any force field compatible with Special Relativity. In this paper, via a lagrangian approach, we explore this possibility and obtain classical spinor equations describing the behaviour of fermionic particles not only under an electromagnetic field but also under Yang-Mills and Color fields. We find a covariant derivative defined \it along the classical trajectory of the particle, which can be extended to SU(2) and SU(3) local symmetries, and obtain the Yang-Mills and Color fields in a new classical Weyl-spinor approach to Gauge Theories. In the SU(3) case, the obtained equations which describe the behaviour of quarks under gluon fields could be in principle applied to the quark-gluon plasma phase existing during the first instants of the Universe.