Translation-Invariant Noncommutative Renormalization
نویسندگان
چکیده
منابع مشابه
On a Metric on Translation Invariant Spaces
In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.
متن کاملNoncommutative renormalization for massless QED
We study the renormalization of massless QED from the point of view of the Hopf algebra discovered by D. Kreimer. For QED, we describe a Hopf algebra of renormalization which is neither commutative nor cocommutative. We obtain explicit renormalization formulas for the electron and photon propagators, for the vacuum polarization and the electron self-energy, which are equivalent to Zimmermann’s ...
متن کاملRenormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model
From the field strengths defined in noncommutative geometry, we construct a bosonic lagrangian of the standard model by using a natural way. It is shown that constraints among coupling constants of our model can be renormalization group invariant (RGI). We also consider the relation between the condition that a constraint among coupling constants of a model becomes RGI and a condition that the ...
متن کاملTranslation invariant mappings on KPC-hypergroups
In this paper, we give an extension of the Wendel's theorem on KPC-hypergroups. We also show that every translation invariant mapping is corresponding with a unique positive measure on the KPC-hypergroup.
متن کاملInvariant Actions for Noncommutative Gravity
Two main problems face the construction of noncommutative actions for gravity with star products: the complex metric and finding an invariant measure. The only gauge groups that could be used with star products are the unitary groups. I propose an invariant gravitational action in D = 2n dimensions based on the constrained gauge group U(2) broken down to U(2) for n > 2. When n = 2 the gauge gro...
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: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2010
ISSN: 1815-0659
DOI: 10.3842/sigma.2010.047