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Lorentz invariant exact solution of the anomalous chiral Schwinger model (1988)

Link, R. ; Roberge, A. ; Semenoff, G. W.

Springer

The European physical journal 39 (1988), S. 269-273

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ISSN: 1434-6052

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We present an exact solution of the anomalous chiral Schwinger model using Fermionic variables. We implement infrared regularization by considering the model on a spatial circleS 1. Quantum effects modify the gauge constraints through the appearance of Schwinger terms in the gauge algebra. We perform a careful analysis of the resulting second class gauge constraints by implementing Dirac's method at the quantum level and obtain the spectrum of the theory. We get a consistent unitary Lorentz invariant theory for particular values of the counterterms. We find that when we regulate the fermionic sector of the model without reference to the gauge fields Lorentz invariance requires that we add both Lorentz variant and gauge variant counterterms.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01551003

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Enantiomer separation of 2-halocarboxylic acid esters by chiral complexation gas chromatographyDedicated to Professor Ernst Bayer on the occasion of his 60th birthday (1988)

Schurig, V. ; Ossig, A. ; Link, R.

Weinheim : Wiley-Blackwell

Journal of High Resolution Chromatography 11 (1988), S. 89-93

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ISSN: 0935-6304

Keywords: Gas chromatography, GC ; Capillary columns ; glass ; Complexation GC ; Chiral complexation GC ; Enantiomer separation ; Chemistry ; Analytical Chemistry and Spectroscopy

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The enantiomer separation of 2-halocarboxylic acid esters on two chiral nickel(II) bis-((perfluoroacyl)terpeneketonates) by complexation gas chromatography is described. The quantitative entiomer separation of branched 2-halocarboxylic acid esters is achieved with nickel (II) bis (3-(heptafluorobutanoyl)(1R, 2S)-pinan-4-onate) 1 while unbranched 2-halocarboxylic acid esters are preferably separated on nickel(II) bis(3-(heptafluorobutanoyl)-(1S)-10-methylenecamphorate) 2. The metal chelates 1 and 2 are accessible in both enantiomeric forms allowing the determination of the enantiomeric excess (ee) effective and reliable.

Additional Material: 5 Ill.