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A ζ-function method for weyl fermionic determinants

✍ Scribed by R. E. Gamboa Saraví; M. A. Muschietti; F. A. Schaposnik; J. E. Solomin

Book ID
104758475
Publisher
Springer
Year
1988
Tongue
English
Weight
263 KB
Volume
16
Category
Article
ISSN
0377-9017

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✦ Synopsis

We present an extension of the E-function method adapted to handle the regularization of Dirac operator determinants when Weyl fermions are present. The method we propose makes use of an auxiliary operator which takes into account regularization ambiguities in anomalous gauge theories. As an application, we consider a two-dimensional model where these ambiguities allow for the definition of a consistent quantum theory.

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ζ-Function method for infinite series
ζ-Function method for infinite series
✍ Alfred Actor 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 239 KB

The ~-function method is used to rearrange Dirichlet series of the form E,.( + ) r a m -S g ( x / m ) into power series in x. This displays explicitly the analyticity in s of the series. Generalized ~-functions of physical interest can be analysed by this method. Recently, a new method [ 1 ] was in