No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory

نویسندگان

  • P. Fischer
  • V. Putz
چکیده

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 the present theory is the lack of the UV/IR mixing problem in all amplitudes calculated so far. Though we are not yet able to give a rigorous proof we provide a strong argument for this result to hold in general. Together with the found Feynman rules this opens promising vistas towards the systematic renormalization of noncommutative field theories. [email protected] [email protected], work supported by “Fonds zur Förderung der Wissenschaften” (FWF) under contract P15015-TPH.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Effective Field Theory of a Locally Noncommutative Space-Time and Extra Dimensions

We assume that the noncommutativity starts to be visible continuously from a scale ΛNC . According to this assumption, a two-loop effective action is derived for noncommutative φ4 and φ3 theories from a Wilsonian point of view. We show that these effective theories are free of UV/IR mixing phenomena. We also investigate the positivity constraint on coefficients of higher dimension operators pre...

متن کامل

On the Origin of the Uv-ir Mixing in Noncommutative Matrix Geometry

Scalar field theories with quartic interaction are quantized on fuzzy S and fuzzy S×S to obtain the 2and 4-point correlation functions at one-loop. Different continuum limits of these noncommutative matrix spheres are then taken to recover the quantum noncommutative field theories on the noncommutative planes R 2 and R respectively. The canonical limit of large stereographic projection leads to...

متن کامل

Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory

The twist-deformation of the Poincaré algebra as symmetry of the field theories on noncommutative space-time with Heisenberg-like commutation relation is discussed in connection to the relation between a sound approach to the twist and the quantization in noncommutative field theory. The recent claims of violation of Pauli’s spin-statistics relation and the absence of UV/IR mixing in such theor...

متن کامل

Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories

We study IR/UV mixing effects in noncommutative supersymmetric Yang-Mills theories with gauge group U(N) using background field perturbation theory. We compute threepoint functions of background fields, and show that the IR/UV mixed contributions to these correlators can be reproduced from an explicitly gauge-invariant effective action. This effective action involves open Wilson lines, and also...

متن کامل

Technical Remarks and Comments on the UV/IR-Mixing Problem of a Noncommutative Scalar Quantum Field Theory

In this letter we will dicuss the possibility of a resummation procedure in order to cure the UV/IR-mixing problem of noncommutative field theories. The method is presented for a scalar φ theory on Euclidean space. Finally, we sketch the idea of resummation for U(1)-gauge theories. [email protected], work supported by “Fonds zur Förderung der Wissenschaftlichen Forschung” (FWF) under contract P1...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003