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Chiral Schwinger models without gauge anomalies
KTH, Superseded Departments, Physics.
2000 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 587, no 03-jan, p. 568-584Article in journal (Refereed) Published
Abstract [en]

We find a large class of quantum gauge models with massless fermions where the coupling to the gauge fields is not chirally symmetric and which nevertheless do not suffer from gauge anomalies. To be specific we study two dimensional Abelian models in the Hamiltonian framework which can be constructed and solved by standard techniques. The general model describes Np photon fields and NF flavors of Dirac fermions with 2N(F)N(P) different coupling constants, i.e., the chiral component of each fermion can he coupled to the gauge fields differently We construct these models and find conditions so that no gauge anomaly appears. If these conditions hold it is possible to construct and solve the model explicitly, so that gauge- and Lorentz invariance are manifest.

Place, publisher, year, edition, pages
2000. Vol. 587, no 03-jan, p. 568-584
Keywords [en]
Schwinger model, gauge anomaly, chiral fermions, Abelian gauge fields, construction
Identifiers
URN: urn:nbn:se:kth:diva-20089ISI: 000089783900023OAI: oai:DiVA.org:kth-20089DiVA, id: diva2:338782
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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