منابع مشابه
UV-IR Mixing in Non-Commutative Plane
Poincaré-invariant quantum field theories can be formulated on non-commutative planes if the coproduct on the Poincaré group is suitably deformed [1, 2].(See also especially Oeckl [3],[4] and Grosse et al.[5]) As shown in [6], this important result of these authors implies modification of free field commutation and anti-commutation relations and striking phenomenological consequences such as vi...
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We study a non-commutative non-relativistic scalar field theory in 2 + 1 dimensions. The theory shows the UV/IR mixing typical of QFT on noncommutative spaces. The one-loop correction to the two-point function turns out to be given by a δ-function in momentum space. The oneloop correction to the four-point function is of logarithmic type. We also evaluate the thermodynamic potential at two-loop...
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We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time noncommutativity are necessary. The duality symmetry is then extended to a general class of non-commutative gauge theories that goes beyond non-commutative electrodynamics. As an application of this symmetry, plane wave solutions are analysed. Dispersion relatio...
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Bounds for non-commutative versions of two classical strong mixing coefficients for q-Gaussian processes are found in terms of the angle between the underlying Hilbert spaces. As a consequence, we construct a ψ-mixing qGaussian stationary sequence with growth conditions on variances of partial sums. If classical processes with analogous properties were to exist, they would provide a counter-exa...
متن کاملNon(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
We study quantum aspects of field theories defined on N = 1 2 superspace, where both bosonic and fermionic coordinates are made non(anti)commutative. We compute the one-loop effective superpotential, and we find that planar and nonplanar contributions exhibit markedly different behavior. Planar diagrams yield an effective superpotential proportional to Nc(Φ log Φ)⋆. For nonplanar diagrams, we s...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2006
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2006.02.006