UV divergence-free QFT on noncommutative plane
نویسندگان
چکیده
منابع مشابه
Divergence-Free Multiwavelets on the Half Plane
We use the biorthogonal multiwavelets related by differentiation constructed in previous work to construct compactly supported biorthogonal multiwavelet bases for the space of vector fields on the upper half plane R+ such that the reconstruction wavelets are divergence-free and have vanishing normal components on the boundary of R+. Such wavelets are suitable to study the Navier–Stokes equation...
متن کاملParametric representation of “critical” noncommutative QFT models
We extend the parametric representation of renormalizable non commutative quantum field theories to a class of theories which we call “critical”, because their power counting is definitely more difficult to obtain.This class of theories is important since it includes gauge theories, which should be relevant for the quantum Hall effect.
متن کاملOn the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT
The space-time symmetry of noncommutative quantum field theories with a deformed quantization is described by the twisted Poincaré algebra, while that of standard commutative quantum field theories is described by the Poincaré algebra. Based on the equivalence of the deformed theory with a commutative field theory, the correspondence between the twisted Poincaré symmetry of the deformed theory ...
متن کاملOn a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
By invoking the concept of twisted Poincaré symmetry of the algebra of functions on a Minkowski space-time, we demonstrate that the noncommutative space-time with the commutation relations [xμ ,xν ] = iθμν , where θμν is a constant real antisymmetric matrix, can be interpreted in a Lorentzinvariant way [1]. The implications of the twisted Poincaré symmetry on QFT on such a spacetime is briefly ...
متن کاملStrong Coupling Phenomena on the Noncommutative Plane
We study strong coupling phenomena in U(1) gauge theory on the noncommutative plane. To do so, we make use of a T-dual description in terms of an N → ∞ limit of U(N) gauge theory on a commutative torus. The magnetic flux on this torus is taken to be m = N − 1, while the area scales like 1/N , keeping ΛQCD fixed. With a few assumptions, we argue that the speed of high frequency light in pure non...
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: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/36/45/c01