Trouble with space-like noncommutative field theory
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2005
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Elsevier Science Bv
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Abstract
It is argued that the one-loop effective action for space like noncommutative (i) lambda phi(4) scalar field theory and (ii) U(1) gauge theory does not exist. This indicates that such theories are not renormalizable already at one loop order and suggests supersymmetrization and reinvestigating other types of noncommutativity.
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© 2005 Elsevier B.V. All rights reserved.
V.G. wishes to acknowledge the hospitality of the Department of Theoretical Physics of Universidad Complutense de Madrid. J.M.G.B. thanks MEC, Spain, for support through a ‘Ramón y Cajal’ contract. He also acknowledges discussions with E. López. F.R.R. is grateful to MEC, Spain, for financial support through grant BFM2002-00950.