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  • 1980-1984  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 72 (1980), S. 239-272 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper we prove Bardeen's conjecture that the anomaly of the Adler-Bardeen-Bell-Jackiw-Schwinger type in gauge models are definitely absent if they are cancelled at the first order of the ħ perturbation expansion. Our analysis develops within the regularization independent B.P.H.Z. renormalization scheme. We discuss the possible appearance of anomalies in an enlarged class of gauge models admitting soft violations of the Slavnov-Taylor identities which prescribe the gauge transformation properties of the Green functions. By a repeated use of the Callan-Symanzik equation we conclude that the lowest non vanishing contributions to the anomalies must necessarily correspond to the first order in the ħ perturbation expansion, hence if they are cancelled at this order the theory will be definitely anomaly free.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Mineralogy and petrology 29 (1982), S. 241-253 
    ISSN: 1438-1168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Description / Table of Contents: Zusammenfassung In den mikroperthitischen Alkalifeldspäten der Anatexite des Haut Boréon im Argentera Massiv (Seealpen) zeigen die vorherrschenden monoklinen Phasen keine Zwillingsgitterung, aber gewöhnlich schwach unregelmäßige Auslöschung. Sie bestehen aus monoklinem Kali-feldspat, der 1, durch eine weitgehend geordnete Si,Al-Verteilung auf denT-Positionen, 2. durch schwache aber systematische Spannungen, welche durch die Kohärenz mit der entmischten Na-reichen Phase verursacht sind, und 3, durch eine nicht sehr scharfe Zusammensetzung, die von 0,85 bis 0,88 Molenbruch KAlSi3O8 schwankt, charakterisiert ist. Schwache trikline Maxima in den Röntgen-Pulverdiagrammen sowie der Hinweis auf beginnende M-Verzwilligung und diagonale Assoziation in Röntgen-Einkristallaufnahmen weisen darauf hin, daß die vorherrschenden monoklinen Phasen partiell in triklines Material umgewandelt wurden. Die untersuchten Mikroperthite scheinen eine relativ rasche thermische Geschichte zu widerspiegeln, die bei höheren Temperaturen begann und endete als jene, welche die westlich des Haut Boréon aufgeschlossenen Anatexite des Mt. Pélago erlitten.
    Notes: Summary In microperthitic alkali feldspars from the Haut Boréon anatexites in the Argentera Massif, Maritime Alps, the dominant K-rich phases are devoid of grid twinning but usually show weak uneven extinction. They consist of monoclinic forms characterized by (a) highly ordered Si,Al distributions in theT-sites, (b) weak but systematic residual strain due to coherency with the exsolved Na-rich phase, and (c) not very pure compositions ranging from 0.85 to 0.88 mole fraction KAlSi3O8. Weak triclinic peaks in X-ray powder patterns and the evidence of incipient formation of M-twinning and the diagonal association in single-crystal X-ray photographs indicate that the dominant monoclinic K-rich phases have undergone a partial transformation into triclinic material. The microperthites investigated appear to be the expression of a relatively rapid thermal history which started and terminated at temperatures higher than those experienced by the microperthites from the Mt. Pélago anatexites, which are exposed to the West of the Haut Boréon anatexites.
    Type of Medium: Electronic Resource
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