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Quantum Mechanism of Generation of the SU(N) Gauge Fields

Тетяна Кузьменко

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Abstract

this paper, we investigate the generationmn hanism for non-Abelian SU(N) gauge fields. It is shown that the non-Abelian nontrivial vector fields are generated due tononsm othness of the field trajectories for the scalar phases of the spinor fields in the SU(N) gauge theory. Let us consider a Lagrangian for free spinor fields j# , (1) where j =1, 2,...,N. In what follows the index j will beomRPzGT 502 T.Yu.Kuzm4G o The Lagrangian (1) is invariant under global non-Abelian SU(N)-transformRTm # # (x)=e #a# (x),# , (2) where t are SU(N) group generators, # a = const, a =1, 2,...,N -1

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What this paper is about

this paper, we investigate the generationmn hanism for non-Abelian SU(N) gauge fields. It is shown that the non-Abelian nontrivial vector fields are generated due tononsm othness of the field trajectories for the scalar phases of the spinor fields in the SU(N) gauge theory. Let us consider a Lagrangian for free spinor fields j# , (1) where j =1, 2,...,N. In what follows the index j will beomRPzGT 502 T.Yu.Kuzm4G o The Lagrangian (1) is invariant under global non-Abelian SU(N)-transformRTm # # (x)=e #a# (x),# , (2) where t are SU(N) group generators, # a = const, a =1, 2,...,N -1

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Available abstract

this paper, we investigate the generationmn hanism for non-Abelian SU(N) gauge fields. It is shown that the non-Abelian nontrivial vector fields are generated due tononsm othness of the field trajectories for the scalar phases of the spinor fields in the SU(N) gauge theory. Let us consider a Lagrangian for free spinor fields j# , (1) where j =1, 2,...,N. In what follows the index j will beomRPzGT 502 T.Yu.Kuzm4G o The Lagrangian (1) is invariant under global non-Abelian SU(N)-transformRTm # # (x)=e #a# (x),# , (2) where t are SU(N) group generators, # a = const, a =1, 2,...,N -1

Key concepts: Introduction to gauge theory, Gauge anomaly, Gauge fixing, Quantum gauge theory, Supersymmetric gauge theory, Physics, BRST quantization, Gauge symmetry

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