Gauging by Stückelberg field-shifting symmetry

Neto, Jorge Ananias

doi:10.1016/j.physletb.2003.07.063

Physics Letters B

2003

DOI: 10.1016/j.physletb.2003.07.063

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Gauging by Stückelberg field-shifting symmetry

Jorge Ananias Neto

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Cited by 4 publications

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“…An alternative successful route can be found in ref. [25] where, in order to restore CB gauge invariance, a particular method employing both BFT and gauge-unfixing ideas was used. It is also worth mentioning the constraint Fourier modes expansion approach used in [26] to allow for the introduction of BFT modes.…”

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confidence: 99%

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

Neto

Costa

Ambrósio

et al. 2023

EPL

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We use the gauge unfixing (GU) formalism framework in a two dimensional noncommutative chiral bosons (NCCB) model to disclose new hidden symmetries. That amounts to converting a second-class system to a first-class one without adding any extra degrees of freedom in phase space. The NCCB model has two second-class constraints -- one of them turns out as a gauge symmetry generator while the other one, considered as a gauge-fixing condition, is disregarded in the converted gauge-invariant system. We show that it is possible to apply a conversion technique based on the GU formalism direct to the second-class variables present in the NCCB model, constructing deformed gauge-invariant GU variables, a procedure which we name here as modified GU formalism. For the canonical analysis in noncommutative phase space, we compute the deformed Dirac brackets between all original phase space variables. We obtain two different gauge invariant versions for the NCCB system and, in each case, a GU Hamiltonian is derived satisfying a corresponding first-class algebra. Finally, the phase space partition function is presented for each case allowing for a consistent functional quantization for the obtained gauge-invariant NCCB.

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mentioning

confidence: 99%

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

Neto

Costa

Ambrósio

et al. 2023

EPL

Self Cite

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Rolling bearing fault feature extraction method based on GWO-optimized adaptive stochastic resonance signal processing

Quan

Xueliang

2022

SN Appl. Sci.

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The failure of rolling bearings affects the function and precision of rotating machinery significantly, which has drawn lots of attention in this field. Dealing with the failure of rolling bearings, fault feature extraction is the first and most important problem. In this work, we convert the bearing fault signal into stochastic resonance dynamics equivalently. And, adaptive stochastic resonance is adopted to extract the fault signal feature. In addition, for industrial application of fault signal processing with large amplitude and noise intensity greater than 1, normalized scale transformation is introduced into adaptive stochastic resonance and then solved by fifth-order Runge–Kutta algorithm. Then, to further optimize the solving precision of stochastic resonance model, the scaling coefficient and step size of Runge–Kutta algorithm are chosen with the help of Grey Wolf Optimizer (GWO). Thus, we can obtain a fast convergence speed, high calculation accuracy and effective improvement of signal-to-noise ratio fault feature extraction method for rolling bearing fault signal processing. Finally, a comparation simulation was carried out to demonstrate the efficiency of the proposed method. Compared with Cuckoo Search Optimizer-based stochastic resonance signal processing method, the proposed method achieved a higher signal-to-noise ratio (SNR) to benefit the fault feature extraction. In summary, this work gives out a more practical and effective solution for rolling bearing fault feature extraction in rotating machinery fault diagnosis field.

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Improved BFT embedding having chain-structure

2006

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We newly revisit the gauge non-invariant chiral Schwinger model with a = 1 in view of the chain structure. As a result, we show that the Dirac brackets can be easily read off from the exact symplectic algebra of second-class constraints. Furthermore, by using an improved BFT embedding preserving the chain structure, we obtain the desired gauge invariant action including a new type of Wess-Zumino term.

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Gauging by Stückelberg field-shifting symmetry

Cited by 4 publications

References 26 publications

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

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

Rolling bearing fault feature extraction method based on GWO-optimized adaptive stochastic resonance signal processing

Improved BFT embedding having chain-structure

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