Matrix Models on the Fuzzy Sphere
نویسنده
چکیده
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar φ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the φ vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.
منابع مشابه
An interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
The purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concept of solutions for matrix games with payoffs of TIFNs is introduced. A pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies...
متن کاملA matrix method for estimating linear regression coefficients based on fuzzy numbers
In this paper, a new method for estimating the linear regression coefficients approximation is presented based on Z-numbers. In this model, observations are real numbers, regression coefficients and dependent variables (y) have values for Z-numbers. To estimate the coefficients of this model, we first convert the linear regression model based on Z-numbers into two fuzzy linear regression mode...
متن کاملNash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto...
متن کاملU (2) Projectors and 't Hooft-polyakov Monopoles on a Fuzzy Sphere
We show how to generalize our method, based on projective modules and matrix models, which enabled us to derive noncommutative monopoles on a fuzzy sphere, to the non-abelian case, recovering known results in literature. We then discuss a possible candidate for deforming the commutative Chern class to the non-commutative case.
متن کاملA matrix phase for the φ scalar field on the fuzzy sphere
The critical properties of the real φ scalar field theory are studied numerically on the fuzzy sphere. The fuzzy sphere is a finite matrix (non–commutative) approximation of the algebra of functions on the usual two dimensional sphere. It is also one of the simplest examples of a non–commutative space to study field theory on. Aside from the usual disordered and uniform phases present in the co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002