%0 Journal Article %1 Blau:1988jp %A Blau, Steve %A Visser, Matt %A Wipf, Andreas %D 1989 %J Int. J. Mod. Phys. %K 2D DiracOperators OneLoopEffectivePotential SchwingerModel WessZuminoModel %P 1467 %R 10.1142/S0217751X89000625 %T DETERMINANTS, DIRAC OPERATORS, AND ONE LOOP PHYSICS %U http://www.slac.stanford.edu/spires/find/hep/www?j=IMPAE,A4,1467 %V A4 %X We consider the Dirac operator. Its determinant is examined and in two Euclidean dimensions is explicitly evaluated in terms of geometrical quantities. This leads us to consider a generalization of the Wess-Zumino action that is applicable to arbitrary genus. Our analysis is relevant to a number of interesting systems: Schwinger models on curved two-manifolds; string theories with world-sheet vectors; and as an exploration of possible directions in evaluating determinants in four dimensions.

@article{Blau:1988jp, abstract = {We consider the Dirac operator. Its determinant is examined and in two Euclidean dimensions is explicitly evaluated in terms of geometrical quantities. This leads us to consider a generalization of the Wess-Zumino action that is applicable to arbitrary genus. Our analysis is relevant to a number of interesting systems: Schwinger models on curved two-manifolds; string theories with world-sheet vectors; and as an exploration of possible directions in evaluating determinants in four dimensions.}, added-at = {2009-06-22T11:02:12.000+0200}, author = {Blau, Steve and Visser, Matt and Wipf, Andreas}, biburl = {https://www.bibsonomy.org/bibtex/2c921f5f55ce74cbd8bd10cbeeae25c4b/gber}, description = {SPIRES-HEP: FIND J IMPAE,A4,1467}, doi = {10.1142/S0217751X89000625}, interhash = {f6b57252de3fdc7fa9481e48f0e69d0d}, intrahash = {c921f5f55ce74cbd8bd10cbeeae25c4b}, journal = {Int. J. Mod. Phys.}, keywords = {2D DiracOperators OneLoopEffectivePotential SchwingerModel WessZuminoModel}, pages = 1467, slaccitation = {%%CITATION = IMPAE,A4,1467;%%}, timestamp = {2009-06-22T11:02:12.000+0200}, title = {{DETERMINANTS, DIRAC OPERATORS, AND ONE LOOP PHYSICS}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?j=IMPAE,A4,1467}, volume = {A4}, year = 1989 }