Wess-Zumino terms for the deformed Skyrme model

Neves, C.; Wotzasek, C.

doi:10.1103/physrevc.62.025205

Cited by 11 publications

(26 citation statements)

References 28 publications

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“…It seems important since our scheme does not affect the baryon phenomenology initially predicted by the second-class model, in opposition to another gauge-invariant formalism [18][19][20][21][22]. Thus, the symplectic gauge-invariant formalism leads to a more elegant and simplified first-class Hamiltonian structure than the Abelian and non-Abelian BFFT cases.…”

Section: Final Discussionmentioning

confidence: 99%

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Gauging the SU(2) Skyrme model

2001

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In this paper the SU(2) Skyrme model will be reformulated as a gauge theory and the hidden symmetry will be investigated and explored in the energy spectrum computation. To this end we purpose a new constraint conversion scheme, based on the symplectic framework with the introduction of Wess-Zumino (WZ) terms in an unambiguous way. It is a positive feature not present on the BFFT constraint conversion. The Dirac's procedure for the first-class constraints is employed to quantize this gauge invariant nonlinear system and the energy spectrum is computed. The finding out shows the power of the symplectic gauge-invariant formalism when compared with another constraint conversion procedures present on the literature.

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Section: Final Discussionmentioning

confidence: 99%

“…In the next section, we reformulate the SU(2) Skyrme model as a gauge theory that, recently, has been intensively studied in the literature from many points of view [9,[18][19][20]22], using the symplectic gauge-invariant process.…”

Section: Symplectic Gauge-invariant Formalismmentioning

confidence: 99%

Gauging the SU(2) Skyrme model

2001

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“…Another point that deserves to mention is the simple algebraic computation of the WZ extended Hamiltonian when compared with other constraint conversion formalisms [1,2,3].…”

Section: Discussionmentioning

confidence: 99%

“…Afterward, the extended Hamiltonian is constructed such as it must satisfy the variational condition, δH = 0, i.e., the new Hamiltonian must be invariant by gauge-symmetry transformations. Here, it is opportune to mention that symmetries, obtained in the other constrained conversion formalisms [1,2,3], appear as a consequence of the first class conversion mechanism. We will see that the possibility of choosing particular symmetries for the WZ terms leads to the considerable simplifications in the determination of the gauge invariant Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

“…In view of this, many works [1,2,3] have embedded second class systems into first class ones by enlarging the phase-space with the introduction of Wess-Zumino (WZ) variables. At the same time, an alternative gaugeinvariant approach [4,5] has been proposed, which considers part of the total second class constraints as gauge fixing terms, while the remaining ones form a subset that satisfies a first class algebra.…”

Section: Introductionmentioning

confidence: 99%

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Gauging by Symmetries

Neto

Neves

Oliveira

2003

Int. J. Mod. Phys. A

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We propose a new procedure to embed second class systems by introducing Wess-Zumino (WZ) fields in order to unveil hidden symmetries existent in the models. This formalism is based on the direct imposition that the new Hamiltonian must be invariant by gauge-symmetry transformations. An interesting feature in this approach is the possibility to find a representation for the WZ fields in a convenient way, which leads to preserve the gauge symmetry in the original phase space. Consequently, the gauge-invariant Hamiltonian can be written only in terms of the original phase-space variables. In this situation, the WZ variables are only auxiliary tools that permit to reveal the hidden symmetries present in the original second class model. We apply this formalism to important physical models: the reduced-SU(2) Skyrme model, the Chern-Simons-Proca quantum mechanics and the chiral bosons field theory.In all these systems, the gauge-invariant Hamiltonians are derived in a very simple way. *

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Obtaining gauge invariant actions via symplectic embedding formalism

et al. 2012

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The concept of gauge invariance is one of the most subtle and useful concepts in modern theoretical physics. It is one of the Standard Model cornerstones. The main benefit due to the gauge invariance is that it can permit the comprehension of difficult systems in physics with an arbitrary choice of a reference frame at every instant of time. It is the objective of this work to show a path of obtaining gauge invariant theories from non-invariant ones. Both are named also as first- and second-class theories respectively, obeying Dirac's formalism. Namely, it is very important to understand why it is always desirable to have a bridge between gauge invariant and non-invariant theories. Once established, this kind of mapping between first-class (gauge invariant) and second-class systems, in Dirac's formalism can be considered as a sort of equivalence. This work describe this kind of equivalence obtaining a gauge invariant theory starting with a non-invariant one using the symplectic embedding formalism developed by some of us some years back. To illustrate the procedure it was analyzed both Abelian and non-Abelian theories. It was demonstrated that this method is more convenient than others. For example, it was shown exactly that this embedding method used here does not require any special modification to handle with non-Abelian systems.Comment: 20 pages. Two-column format. Final version to appear in Annalen der Physik. arXiv admin note: substantial text overlap with arXiv:1001.2254, arXiv:hep-th/010908

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Wess-Zumino terms for the deformed Skyrme model

Cited by 11 publications

References 28 publications

Gauging the SU(2) Skyrme model

Gauging the SU(2) Skyrme model

Gauging by Symmetries

Obtaining gauge invariant actions via symplectic embedding formalism

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