Rastelli, Leonardo and Rossi, Paolo and Vicari, Ettore (1997) Topological charge on the lattice: a field theoretical view of the geometrical approach. Nuclear Physics B, 489 . p. 453. ISSN 1873-1562
Full text not available from this repository.Abstract
We construct sequences of ``field theoretical'' (analytical) lattice topological charge density operators which formally approach geometrical definitions in 2-d $CP^{N-1}$ models and 4-d $SU(N)$ Yang Mills theories. The analysis of these sequences of operators suggests a new way of looking at the geometrical method, showing that geometrical charges can be interpreted as limits of sequences of field theoretical (analytical) operators. In perturbation theory renormalization effects formally tend to vanish along such sequences. But, since the perturbative expansion is asymptotic, this does not necessarily lead to well behaved geometrical limits. It indeed leaves open the possibility that non-perturbative renormalizations survive.
Item Type: | Article |
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Additional Information: | Imported from arXiv |
Subjects: | Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 09 Apr 2015 15:52 |
Last Modified: | 09 Apr 2015 15:52 |
URI: | http://eprints.adm.unipi.it/id/eprint/1827 |
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