Global anomalies in chiral lattice gauge theory
نویسندگان
چکیده
منابع مشابه
Global anomalies in Chiral Lattice Gauge Theory
As first realized by Witten an SU(2) gauge theory coupled to a single Weyl fermion suffers from a global anomaly. This problem is addressed here in the context of the recent developments on chiral gauge theories on the lattice. We find Witten’s anomaly manifests in the impossibility of defining globally a fermion measure that reproduces the proper continuum limit. Moreover, following Witten’s o...
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We discuss the issue of global anomalies in chiral gauge theories on the lattice. In Lüscher’s approach, these obstructions make it impossible to define consistently a fermionic measure for the path integral. We show that an SU(2) theory has such a global anomaly if the Weyl fermion is in the fundamental representation. The anomaly in higher representations is also discussed. We finally show th...
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Discovery of gauge covariant local lattice Dirac operators [1,2], which satisfy the GinspargWilson relation [3], paved a way to a manifestly local and gauge invariant lattice formulation of anomaly-free chiral gauge theories [4]–[8]. (See also related early work in ref. [9]) It has been however pointed out that the CP symmetry, the fundamental discrete symmetry in chiral gauge theories, is not ...
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It is shown that certain global obstructions to gauge-invariance in chiral gauge theory, described in the continuum by Alvarez-Gaumé and Ginsparg, are exactly reproduced on the lattice in the Overlap formulation at small non-zero lattice spacing (i.e. close to the classical continuum limit). As a consequence, the continuum anomaly cancellation condition dabc R = 0 is seen to be a necessary (alt...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)91748-1