Modified gauge-unfixing formalism and gauge symmetries in the noncommutative chiral bosons theory

Neto, Jorge Ananias; Costa, Cleber N.; Ambrósio, Gabriella Vieira; F., Alves, Paulo R.; Thibes, Ronaldo

doi:10.1209/0295-5075/ace7f2

Cited by 4 publications

(1 citation statement)

References 55 publications

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“…A very recent study related to gauge symmetry (gauge unfixing) of chiral bosons is found in [34] and similar types of studies on non-commutative chiral boson is considered in [35]. Application of the gauge unfixing in the chiral Schwinger model is reported in [36].…”

Section: Introductionmentioning

confidence: 94%

A basic examination of the gauged model of the Floreanini-Jackiw chiral boson within the framework of BRST symmetry

Ghoshal,

Rahaman

2024

Phys. Scr.

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We consider the gauged model ofFloreanini-Jackiw chiral boson which is generated from thechiral boson with parameter-free Faddeeviananomaly. This model does not have manifestly Lorentz co-variantstructure. However, it is exactly solvable and has a physicalsubspace that is precisely Lorentz invariant. The recommendationof Mitra and Rajaraman makes this model gauge invariant in theusual phasespace. Additionally, Wess-Zumino terms for this modelis constructed to make it gauge-invariant whichallows BRST embedding of the resulting gauge-invariant theory.Despite the strange structural appearance of the models whenviewed in terms of Lorentz covariance BRST invariant reformulationhas been found possible. Additionally, it has been observed thatbeing supplemented with BRST symmetry, anti-BRST symmetry plays acrucial role in pinpointing the specific symmetric physicalstates.

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Section: Introductionmentioning

confidence: 94%

A basic examination of the gauged model of the Floreanini-Jackiw chiral boson within the framework of BRST symmetry

Ghoshal,

Rahaman

2024

Phys. Scr.

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Symplectic quantization and general constraint structure of a prototypical second-class system

Gomez,

Pandey,

Thibes

2024

Eur. Phys. J. C

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We discuss a general prototypical constrained Hamiltonian system with a broad application in quantum field theory and similar contexts where dynamics is defined through a functional action obeying a stationarity principle. The prototypical model amounts to a Dirac–Bergmann singular system, whose constraints restrict the actual dynamics to occur within a differential submanifold, as is the case in the major part of field theoretical models with gauge symmetry. We apply the Dirac–Bergmann algorithm in its full generality unraveling a total of 4m second-class constraints and obtain the corresponding Dirac brackets algebra in phase space. We follow with the Faddeev–Jackiw–Barcelos–Wotzasek approach in which the geometric character of the mentioned submanifold is emphasized by means of an internal metric function encoding its symplectic properties. We consider two straightforward examples, applying our general results to constrained motion along a toroidal geometry and to a Lorentz violating toy model in field theory. Since toroidal geometry has been recently used in cosmological models, we suggest how our results could lead to different proposals for the shape of the universe in cosmology.

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Note on an extended chiral bosons system contextualized in a modified gauge-unfixing formalism

Ambrósio,

Costa,

Alves

et al. 2024

EPL

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We analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control α-parameter. The system has two second-class constraints in the non-critical regime and an additional one in the critical regime. We use a modified gauge-unfixing (GU) formalism to derive a first-class system, disclosing hidden symmetries. To this end, we choose one of the second-class constraints to build a corresponding gauge symmetry generator. The worked out procedure converts second-class variables into first-class ones allowing the lifting of gauge symmetry. Any function of these GU variables will also be invariant. We obtain the GU Hamiltonian and Lagrangian densities in a generalized context containing the Srivastava and Floreanini-Jackiw models as particular cases. Additionally, we observe that the resulting GU Lagrangian presents similarities to the Siegel invariant Lagrangian which is known to be suitable for describing chiral bosons theory with classical gauge invariance, however broken at quantum level. The final results signal a possible equivalence between our invariant Lagrangian obtained from the modified GU formalism and the Siegel invariant Lagrangian, with a distinct gauge symmetry.

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Modified gauge-unfixing formalism and gauge symmetries in the noncommutative chiral bosons theory

Cited by 4 publications

References 55 publications

A basic examination of the gauged model of the Floreanini-Jackiw chiral boson within the framework of BRST symmetry

A basic examination of the gauged model of the Floreanini-Jackiw chiral boson within the framework of BRST symmetry

Symplectic quantization and general constraint structure of a prototypical second-class system

Note on an extended chiral bosons system contextualized in a modified gauge-unfixing formalism

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