Nonrelativistic noncommutative field theory and UV-IR mixing
نویسندگان
چکیده
منابع مشابه
UV/IR mixing and the Goldstone theorem in noncommutative field theory
Noncommutative IR singularities and UV/IR mixing in relation with the Goldstone theorem for complex scalar field theory are investigated. The classical model has two coupling constants, λ1 and λ2 , associated to the two noncommutative extensions φ⋆φ⋆φ⋆φ and φ⋆φ⋆φ⋆φ of the interaction term |φ|4 on commutative spacetime. It is shown that the symmetric phase is one-loop renormalizable for all λ1 a...
متن کاملUV / IR Mixing for Noncommutative Complex Scalar Field Theory , II ( Interaction with Gauge Fields )
We consider noncommutative analogs of scalar electrodynamics and N = 2 D = 4 SUSY Yang-Mills theory. We show that one-loop renormalizability of noncommutative scalar electrodynamics requires the scalar potential to be an anticommutator squared. This form of the scalar potential differs from the one expected from the point of view of noncommutative gauge theories with extended SUSY containing a ...
متن کاملNo UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
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...
متن کاملElimination of IR/UV via Gravity in Noncommutative Field Theory
Models of particle physics with Noncommutative Geometry (NCG) generally suffer from a manifestly non-Wilsonian coupling of infrared and ultraviolet degrees of freedom known as the ”IR/UV Problem” which would tend to compromise their phenomenological relevance. In this Letter we explicitly show how one may remedy this by coupling NCG to gravity. In the simplest scenario the Lagrangian gets multi...
متن کاملNon-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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2000
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.62.105006