Eliminating the chiral anomaly via symplectic embedding approach (original) (raw)

BFFT FORMALISM APPLIED TO THE MINIMAL CHIRAL SCHWINGER MODEL

Modern Physics Letters A, 2004

We consider the minimal chiral Schwinger model, by embedding the gauge noninvariant formulation into a gauge theory following the Batalin-Fradkin-Fradkina-Tyutin point of view. Within the BFFT procedure, the second class constraints are converted into strongly involutive first-class ones, leading to an extended gauge invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess-Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge noninvariant action. *

Chiral Schwinger model with Faddeevian anomaly and its BRST quantization

The European Physical Journal C

We consider chiral Schwinger model with Faddeevian anomaly, and carry out the quantization of both the gauge-invariant and non-invariant version of this model has been. Theoretical spectra of this model have been determined both in the Lagrangian and Hamiltonian formulation and a necessary correlation between these two are made. BRST quantization using BFV formalism has been executed which shows spontaneous appearance of Wess–Zumino term during the process of quantization. The gauge invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition.

Chiral Schwinger model with one-parameter class of Faddeevian anomaly revisited

arXiv: High Energy Physics - Theory, 2020

We consider the gauged model of Siegel type chiral boson with a suitable Lorentz non-covariant masslike term for the gauge fields which is found to be equivalent to the chiral Schwinger model with one parameter class of Faddeevian anomaly when the model is described in terms of Floreanini-Jackiw type chiral boson. The model is made gauge invariant with the introduction of Wess-Zunino field. It has been shown that the gauge invariant model has the same physical content as its gauge variant ancestor. The BRST invariant effective action of this model has also been constructed. The chiral Schwinger model with one parameter class Faddeevian anomaly has also been made gauge invariant using the Wess-Zumino field this model is also shown that it is equivalent to the gauge non-invariant version of this model. The BRST invariant extension is also been made for this model. Since these models are of the same origin it has been found that the symmetric properties are alike in spite of distinct d...

On the Gauge and BRST Invariance of the Chiral QED with Faddeevian Anomaly

International Journal of Theoretical Physics, 2010

Chiral Schwinger model with the Faddeevian anomaly is considered. It is found that imposing a chiral constraint this model can be expressed in terms of chiral boson. The model when expressed in terms of chiral boson remains anomalous and the Gauss law of which gives anomalous Poisson brackets between itself. In spite of that a systematic BRST quantization is possible. The Wess-Zumino term corresponding to this theory appears automatically during the process of quantization. A gauge invariant reformulation of this model is also constructed. Unlike the former one gauge invariance is done here without any extension of phase space. This gauge invariant version maps onto the vector Schwinger model.

Quantization of gauged Floreanini-Jackiw chiral boson with Faddeevian anomaly

arXiv: High Energy Physics - Theory, 2020

We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to the chiral Schwinger model with Faddeevian anomaly when it is described in terms of Floreanini-Jackiw type chiral boson. We carry out the quantization of gauge non-invariant version this model in both the Lagrangian and Hamiltonian formulation. The quantization of the gauge-invariant version of this model in the extended phase space also has been carried out in the Lagrangian formulation. The gauge-invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition. BRST symmetry associated with this model has been studied with different gauge fixing terms. It has been shown that the same model shows off-shell as well as on-shell BRST invariance depending on the choice of gauge fixing term.

Faddeevian anomaly inlaid in gauged Floreanini-Jackiw chiral boson

arXiv: High Energy Physics - Theory, 2020

We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to the chiral Schwinger model with Faddeevian anomaly when it is described in terms of Floreanini-Jackiw type chiral boson. We carry out the quantization of gauge non-invariant version this model in both the Lagrangian and Hamiltonian formulation. The quantization of gauge invariant version of this model in the extended phase space also has been carried out in the Lagrangian formulation. The gauge invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition. BRST symmetry associated with this model has been studied with different gauge fixing terms. It has been shown that the same model shows off-shell as well as on-shell BRST invariance depending on the choice of gauge fixing term.

Consistent and covariant commutator anomalies in the chiral Schwinger model

1997

We derive all covariant and consistent divergence and commutator anomalies of chiral QED 2 within the framework of canonical quantization of the fermions. Further, we compute the time evolution of all occurring operators and find that all commutators evolve canonically. We comment on the relation of our results to the finding of a nontrivial U (1)-curvature in gauge-field space.

Chiral Schwinger models without gauge anomalies

Nuclear Physics B, 2000

We find a large class of quantum gauge models with massless fermions where the coupling to the gauge fields is not chirally symmetric and which nevertheless do not suffer from gauge anomalies. To be specific we study two dimensional Abelian models in the Hamiltonian framework which can be constructed and solved by standard techniques. The general model describes N P photon fields and N F flavors of Dirac fermions with 2N F N P different coupling constants i.e. the chiral component of each fermion can be coupled to the gauge fields differently. We construct these models and find conditions so that no gauge anomaly appears. If these conditions hold it is possible to construct and solve the model explicitly, so that gauge-and Lorentz invariance are manifest.