Space-dependent dirac operators and effective quantum field theory for fermions |
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| Authors: | John Z Imbrie Steven A Janowsky Jonathan Weitsman |
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| Institution: | (1) Departments of Mathematics and Physics, Harvard University, 02138 Cambridge, MA, USA;(2) Department of Mathematics, M.I.T., 02139 Cambridge, MA, USA |
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| Abstract: | For the operator , wherem(x) can change sign, we develop a cluster expansion for computing the determinant and Green's functions. We use a local chiral transformation to relate the space-dependent case to the ordinary Dirac operator.Supported in part by National Science Foundation grant PHY/DMS 88-16214Supported in part by National Science Foundation grants DMS 90-08827 and DMS 88-580873Supported in part by National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship DMS 88-07291 |
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