6533b822fe1ef96bd127ce4b
RESEARCH PRODUCT
Products of current operators in the exact renormalization group formalism
Hidenori SonodaC. Paganisubject
PhysicsHigh Energy Physics - Theory010308 nuclear & particles physicsDifferential equationGaussianHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyGeneral Physics and AstronomyFOS: Physical sciencesRenormalization group01 natural sciencesShort distanceComposite operatorFormalism (philosophy of mathematics)symbols.namesakeHigh Energy Physics - Theory (hep-th)0103 physical sciencessymbolsCutoffGravitational singularity010306 general physicsMathematical physicsdescription
Given a Wilson action invariant under global chiral transformations, we can construct current composite operators in terms of the Wilson action. The short distance singularities in the multiple products of the current operators are taken care of by the exact renormalization group. The Ward-Takahashi identity is compatible with the finite momentum cutoff of the Wilson action. The exact renormalization group and the Ward-Takahashi identity together determine the products. As a concrete example, we study the Gaussian fixed-point Wilson action of the chiral fermions to construct the products of current operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-12-01 | Progress of Theoretical and Experimental Physics |