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Vacuum energy from noncommutative models
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The vacuum energy is computed for a scalar field in a noncommutative background in several models of noncommutative geometry. One may expect that the noncommutativity introduces a natural cutoff on the ultraviolet divergences of field theory. Our calculations show however that this depends on the particular model considered: in some cases the divergences are suppressed and the vacuum energy is only logarithmically divergent, in other cases they are stronger than in the commutative theory.
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Corrections to Kerr-Newman black hole from Noncommutative Einstein-Maxwell equation
The author states that a specific deformed Kerr-Newman metric and Seiberg-Witten modified potential solve the noncommutative Einstein-Maxwell equations to first order in the noncommutativity parameter, without showing...
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