Determination of covariant Schwinger terms in anomalous gauge theories

Kelnhofer, Gerald

doi:10.1007/bf01412330

Cited by 10 publications

(19 citation statements)

References 12 publications

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“…This makes it plausible that the covariant anomaly and Schwinger term can be derived by naively dropping δ. These obstructions have been obtained in many different ways, see for example [1,6] for the covariant anomaly and [5,8,9,10] for the covariant Schwinger term, and they all agree with the result…”

Section: Derivation and Interpretation Of The Covariant Anomaly And Ssupporting

confidence: 73%

A simple algebraic derivation of the covariant anomaly and Schwinger term

Ekstrand

2000

Journal of Mathematical Physics

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An expression for the curvature of the 'covariant' determinant line bundle is given in even dimensional space-time. The usefulness is guaranteed by its prediction of the covariant anomaly and Schwinger term. It allows a parallel derivation of the consistent anomaly and Schwinger term, and their covariant counterparts, which clarifies the similarities and differences between them. In particular, it becomes clear that in contrary to the case for anomalies, the difference between the consistent and covariant Schwinger term can not be extended to a local form on the space of gauge potentials.

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Section: Derivation and Interpretation Of The Covariant Anomaly And Ssupporting

confidence: 73%

A simple algebraic derivation of the covariant anomaly and Schwinger term

Ekstrand

2000

Journal of Mathematical Physics

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“…The literature about covariant Schwinger terms can be divided into two parts depending on if they define it by an algebraic argument [11,12] or by a physical argument, see for instance [13,14,15]. The first discipline have a lack of physical understanding while the mathematical structure is unclear in the second.…”

Section: Schwinger Term Backgroundmentioning

confidence: 99%

A geometrical description of the consistent and covariant chiral anomaly

Ekstrand

2000

Physics Letters B

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“…Ohshima et al [7] evaluated the functional curl of the covariant current in supersymmetric chiral gauge theory. This curl 1 The functional curl of the covariant current appears also in the covariant commutator anomaly [10,11]. was evaluated explicitly by using the Fourier transformation in four dimensions.…”

Section: Introductionmentioning

confidence: 99%

“…The functional curl of the covariant current has been discussed by various authors [6,7,[9][10][11][12]. Fujikawa and Suzuki [6] gave a formal proof of the relationship between the functional curl and the covariant anomaly; this relation was derived by Banerjee et al [3] using the delta-function-type behavior of the functional curl.…”

Section: Introductionmentioning

confidence: 99%

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Heat kernel approach to the relations between covariant and consistent currents in chiral gauge theories

Takeuchi

Endo

2017

Progress of Theoretical and Experimental Physics

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We apply the heat kernel method to relations between covariant and consistent currents in anomalous chiral gauge theories. Banerjee et al. have shown that the relation between these currents is expressed by a "functional curl" of the covariant current. Using the heat kernel method, we evaluate the functional curl explicitly in arbitrary even dimensions. We also apply the heat kernel method to evaluate Osabe and Suzuki's results of the difference between covariant and consistent currents in two and four dimensions. Applying the arguments of Banerjee et al. to gravitational anomalies, we investigate the relationship between the covariant and consistent energymomentum tensors. The relation is found to be expressed by a functional curl of the covariant energy-momentum tensor.

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Determination of covariant Schwinger terms in anomalous gauge theories

Cited by 10 publications

References 12 publications

A simple algebraic derivation of the covariant anomaly and Schwinger term

A simple algebraic derivation of the covariant anomaly and Schwinger term

A geometrical description of the consistent and covariant chiral anomaly

Heat kernel approach to the relations between covariant and consistent currents in chiral gauge theories

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