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Autor Gracia Bondía, Jose Mariano |
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We look in Euclidean R-4 for associative star products realizing the commutation relation [x(mu), x(upsilon)] i Theta(mu upsilon)(x), where the noncommutativity parameters Theta(mu upsilon) depend on the position coordinates x. We do this by ad[...]texto impreso
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[...]