Selfduality and topological-like properties of lattice gauge field theories. A proposal |
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| Authors: | P. Cotta-Ramusino G. Dell'Antonio |
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| Affiliation: | (1) Institut für theoretische Physik, Freie Universität Berlin, D-1000 Berlin 33;(2) Istituto Matematico G. Castelnuovo, Università di Roma, I-00100 Roma, Italy |
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| Abstract: | We introduce for lattice gauge theories an analogue of the Pontrjagin index and a notion of  selfduality and antiselfduality. Selfdual and antiselfdual configurations on the lattice have much of the same properties (with some remarkable differences) as the corresponding configurations on the continuum, to which they converge when the lattice spacing goes to zero.On leave of absence from Istituto di Fisica dell'Università di Milano, Via Celoria 16, 20133 Milano, Italy.Research partially supported by Consiglio Nazionale delle Ricerche and Fondazione A. Della Riccia |
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