Multiflavor soldering

Dalmazi, D.; Dutra, A. de Souza

doi:10.1016/j.physletb.2007.09.007

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Gauge Invariance1

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2017

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“…The action for the NC relativistic particle is described as a second-class system in Dirac's language [11], and consequently it is not a gauge invariant model. In this section we will use the Noether procedure [22] (a procedure used in the quantum interference of chiral actions [23]) to obtain a gauge invariant model derived from the NC relativistic particle one.…”

Section: Gauge Invariancementioning

confidence: 99%

Gauge invariant actions for the noncommutative phase-space relativistic particle

Abreu

Godinho

2017

Mod. Phys. Lett. A

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Our main interest here is to analyze the gauge invariance issue concerning the noncommutative relativistic particle. Since the analysis of the constraint set from Dirac's point of view classifies it as a second-class system, it is not a gauge theory. Hence, the objective here is to obtain gauge invariant actions linked to the original one. However, we have two starting points, meaning that firstly we will begin directly from the original action and, using the Noether procedure, we have obtained a specific dual (gauge invariant) action. Following another path, we will act toward the constraints so that we have carried out the conversion of second to first-class constraints through the Batalin-Fradkin-Fradkina-Tyutin formalism, obtaining the second gauge invariant Lagrangian.

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Section: Gauge Invariancementioning

confidence: 99%