UV-IR mixing in nonassociative Snyder ϕ4 theory
نویسندگان
چکیده
منابع مشابه
Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
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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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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It was shown in hep-th/0301099 that the leading UV/IR mixing effects in noncommutative gauge theories on D-branes are able to capture information about the closed string spectrum of the parent string theory. The analysis was carried out for D-branes on nonsupersymmetric C3/ZN orbifolds of Type IIB. In this paper we consider D-branes on twisted circles compactifications of Type II string theory....
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Using path integral method (Fujikawa’s method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representation. We find that axial and chiral gauge anomalies coming from non-planar contributions are derived in the low noncommutative momentum limit p̃μ(≡ θpν) → 0. The adjoint chiral fermion carries no anomaly in non-planar sector in D = 4k(k ...
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In this article we calculate several divergent amplitudes in φ-theory on noncommutative space-time (Θ0i 6= 0) in the framework of Interaction Point Time Ordered Perturbation Theory (IPTOPT), continuing work done in hep-th/0209253. On the ground of these results we find corresponding Feynman rules which allow for a much easier diagrammatic calculation of amplitudes. The most important feature of...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2018
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.97.055041