Kinetic normal ordering and the 1 + 1 dimensional U(1) anomaly

Isler, K.; Schmid, Christoph; Trugenberger, Carlo A.

doi:10.1016/0550-3213(88)90348-3

Cited by 15 publications

(19 citation statements)

References 14 publications

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“…Further possibilities for the evaluation of (34) are given, e.g., in [27,39] and lead to the same result. In coordinate space the Schwinger term reads…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 88%

“…In this section we closely follow the discussion of [27]. The free spinors obey the free Dirac equation (26) and are, therefore, given by (k 1 #k)…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 99%

“…Therefore, (57) is an exact result [27]. So let us compute the consistent current in the Heisenberg picture with the help of the BCH formula (17)…”

Section: Time Evolution and Heisenberg Current Operatorsmentioning

confidence: 99%

“…Precisely this was done in [27] by introducing the concept of kinetic normal ordering, what we want to review now.…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 99%

“…is the free time evolution of b + (k), (27); exp(ik_&ie*(x)) is an eigenfunction of the kinetic momentum (&i _ +eA) with eigenvalue k. b + and b + (and their Fourier transforms 9 + and 9 + ) are related by a gauge transformation,…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 99%

See 4 more Smart Citations

Consistent and Covariant Commutator Anomalies in the Chiral Schwinger Model

Adam

1998

Annals of Physics

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“…Further possibilities for the evaluation of (34) are given, e.g., in [27,39] and lead to the same result. In coordinate space the Schwinger term reads…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 88%

“…In this section we closely follow the discussion of [27]. The free spinors obey the free Dirac equation (26) and are, therefore, given by (k 1 #k)…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 99%

“…Therefore, (57) is an exact result [27]. So let us compute the consistent current in the Heisenberg picture with the help of the BCH formula (17)…”

Section: Time Evolution and Heisenberg Current Operatorsmentioning

confidence: 99%

“…Precisely this was done in [27] by introducing the concept of kinetic normal ordering, what we want to review now.…”

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 99%

Section: Dirac Vacuum Normal Ordering and Schwinger Termsmentioning

confidence: 99%

See 3 more Smart Citations

Consistent and Covariant Commutator Anomalies in the Chiral Schwinger Model

Adam

1998

Annals of Physics

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On the Gupta-Bleuler Quantization of the Hamiltonian Systems with Anomalies

Kowalski-Glikman¹

1994

Annals of Physics

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The Gupta-Bleuler quantization method of QED can be generalized to canonically quantized constrained systems with quantum second-class constraints. Such constraints may originate either from the second-class constraints, already presented in the classical description of the theory, or may have their sources in quantum effects, in which case the theory is called anomalous. In this paper, I present a detailed description of how the Gupta-Bleuler ideas can be implemented in these cases and I argue that there are in principle no inconsistencies in quantum anomalous theories. Having quantized the anomalous theories canonically, I derive the path integral formulation of such theories and show that some new terms are necessarily present in this formulation. As an example, I show how the chiral Schwinger model can be quantized in the original fermionic formulation with no reference to the bosonized version used in the literature so far. * e-mail address: t18@ nikhef.nl

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Kinetic normal ordering and the Hamiltonian structure of U(1) chiral anomalies in 3 + 1 dimensions

Dunne

Trugenberger

1989

Annals of Physics

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Kinetic normal ordering and the 1 + 1 dimensional U(1) anomaly

Cited by 15 publications

References 14 publications

Consistent and Covariant Commutator Anomalies in the Chiral Schwinger Model

Consistent and Covariant Commutator Anomalies in the Chiral Schwinger Model

On the Gupta-Bleuler Quantization of the Hamiltonian Systems with Anomalies

Kinetic normal ordering and the Hamiltonian structure of U(1) chiral anomalies in 3 + 1 dimensions

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