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Article: Determinants of Dirac operators and thirring model partition functions on Riemann surfaces with boundaries

TitleDeterminants of Dirac operators and thirring model partition functions on Riemann surfaces with boundaries
Authors
Issue Date1989
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00220/index.htm
Citation
Communications In Mathematical Physics, 1989, v. 124 n. 1, p. 133-152 How to Cite?
AbstractThe partition function of the Thirring model on a Riemann surface with boundaries is calculated using the method of Freedman and Pilch by introducing an auxiliary vector potential in the path integral of fermion representation. The Hodge decomposition on manifolds with boundaries is used to integrate over the harmonic forms. The result agrees with the bosonized calculation. The determinants of Dirac operators with mixed Neveu-Schwarz and Ramond boundary conditions are expressed in terms of the Riemann θ{symbol}-functions of the doubled surface. © 1989 Springer-Verlag.
Persistent Identifierhttp://hdl.handle.net/10722/156050
ISSN
2015 Impact Factor: 2.375
2015 SCImago Journal Rankings: 1.760
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWu, Sen_US
dc.date.accessioned2012-08-08T08:40:12Z-
dc.date.available2012-08-08T08:40:12Z-
dc.date.issued1989en_US
dc.identifier.citationCommunications In Mathematical Physics, 1989, v. 124 n. 1, p. 133-152en_US
dc.identifier.issn0010-3616en_US
dc.identifier.urihttp://hdl.handle.net/10722/156050-
dc.description.abstractThe partition function of the Thirring model on a Riemann surface with boundaries is calculated using the method of Freedman and Pilch by introducing an auxiliary vector potential in the path integral of fermion representation. The Hodge decomposition on manifolds with boundaries is used to integrate over the harmonic forms. The result agrees with the bosonized calculation. The determinants of Dirac operators with mixed Neveu-Schwarz and Ramond boundary conditions are expressed in terms of the Riemann θ{symbol}-functions of the doubled surface. © 1989 Springer-Verlag.en_US
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00220/index.htmen_US
dc.relation.ispartofCommunications in Mathematical Physicsen_US
dc.titleDeterminants of Dirac operators and thirring model partition functions on Riemann surfaces with boundariesen_US
dc.typeArticleen_US
dc.identifier.emailWu, S:swu@maths.hku.hken_US
dc.identifier.authorityWu, S=rp00814en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/BF01218472en_US
dc.identifier.scopuseid_2-s2.0-0011612863en_US
dc.identifier.volume124en_US
dc.identifier.issue1en_US
dc.identifier.spage133en_US
dc.identifier.epage152en_US
dc.identifier.isiWOS:A1989AK88500008-
dc.publisher.placeGermanyen_US
dc.identifier.scopusauthoridWu, S=15830510400en_US

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