The chiral determinant and the eta invariant |
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| Authors: | S Della Pietra V Della Pietra L Alvarez-Gaumé |
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| Institution: | (1) Lyman Laboratory of Physics, Harvard University, 02138 Cambridge, MA, USA;(2) Theory Group, Physics Department, University of Texas, 78712 Austin, TX, USA;(3) Present address: Theory Division, CERN, CH-1211 Geneva 23, Switzerland |
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| Abstract: | For {
y
},y  , a one parameter family of invertible Weyl operators of possibly non-zero index acting on spinors over an even dimensional compact manifoldX, we express the phase of the chiral determinant det
–
in terms of the  invariant of a Dirac operator acting on spinors over  ×X.Supported in part by NSF Grant No. PHY-82-15249Supported in part by NSF Grant PHY 8605978 and the Robert A. Welch Foundation |
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