Gauge invariant formulation of non-Abelian chiral gauge theories in two dimensions

Ramallo, Alfonso V.

doi:10.1007/bf01565134

Z. Phys. C - Particles and Fields

1989

DOI: 10.1007/bf01565134

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Gauge invariant formulation of non-Abelian chiral gauge theories in two dimensions

Alfonso V. Ramallo

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1992

1994

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Cited by 3 publications

References 27 publications

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Renormalizability of the non-Abelian chiral Schwinger model in the 1-loop approximation

Zhou¹,

Qing-Hai²,

Liu³

1992

J. Phys. G: Nucl. Part. Phys.

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The renormalization properties of the non-Abelian chiral Schwinger model are studied. The 1-loop renormalization counterterm is calculated. The results show that o-an arbitrary parameter appearing in the theory and determining its unitarity-is renormalized unless it is equal to zero or two, and there is neither coupling constant renormalization of e nor wavefunction renormalization of the gauge field, fermion field and Wess-Zumina field. 'This work is supported by the special foundation for doctoral training of the National Education Committee of China under grant no 9035805. 0954-3899/92/02(M15 + 05 $04.50 0 1992 IOP Publishing Ltd thecies. P.ctca!!y .!llrkiur 2nd P.EjEr2m.n [3] ezr!ier paicted oL!t this possibi!ity by L15

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Renormalizability of the non-Abelian chiral Schwinger model in the 1-loop approximation

Zhou¹,

Qing-Hai²,

Liu³

1992

J. Phys. G: Nucl. Part. Phys.

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Reconstruction of Wess-Zumino-Witten action from the Batalin-Fradkim algorithm for anomalous d=2 non-Abelian chiral theory

Zhou¹,

Miao²,

Liu³

1994

J. Phys. G: Nucl. Part. Phys.

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We apply Fujiwara, Igarashi and Kubo's improved Batalin-Fradkin algorithm (1990) combined with the systematic Batalin-Fradkin-Vilkovisky formalism to derive a BRST gauge-fixing covariant action for the anomalous d=2 non-Abelian chiral theory, showing that the auxiliary fields introduced in the BF formalism turn into the Wess-Zumino-Witten fields. In the calculation, we choose the special BF fields which are different from those used before.

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Dependence of the Gauss-law constraints on the regularization scheme in non-Abelian chiral gauge theory

Zhou

Liu

1993

Phys. Rev. D

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Mitra's regularizaton of the masslike term, which was originally discussed in an Abelian model, is used to calculate the anomaly in the commutator of the Gauss-law operators for anomalous d = 2 non-Abelian chiral theory. The Schwinger term in the commutator of the different Gauss-law operator is shifted, because of regularization ambiguities, to the commutator of the Gauss-law operators with themselves. The Poisson brackets of the Gauss-law constraints correspond to the Kac-Moody algebra, and the Gauss-law constraints are similar to the chiral constraints. In a sense, this kind of Gauss-law constraint structure differs from what Faddeev suggested.

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Gauge invariant formulation of non-Abelian chiral gauge theories in two dimensions

Cited by 3 publications

References 27 publications

Renormalizability of the non-Abelian chiral Schwinger model in the 1-loop approximation

Renormalizability of the non-Abelian chiral Schwinger model in the 1-loop approximation

Reconstruction of Wess-Zumino-Witten action from the Batalin-Fradkim algorithm for anomalous d=2 non-Abelian chiral theory

Dependence of the Gauss-law constraints on the regularization scheme in non-Abelian chiral gauge theory

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