Products of current operators in the exact renormalization group formalism | Zendy

Hidenori Sonoda | Zendy

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Products of current operators in the exact renormalization group formalism

Author(s) -

Hidenori Sonoda

Publication year - 2020

Publication title -

progress of theoretical and experimental physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.887

H-Index - 53

ISSN - 2050-3911

DOI - 10.1093/ptep/ptaa159

Subject(s) - physics , mathematical physics , renormalization group , fixed point , cutoff , invariant (physics) , renormalization , effective action , fermion , gravitational singularity , quantum mechanics , mathematics , mathematical analysis

H. Sonoda Physics Department, Kobe University, Kobe 657-8501, Japan (Dated: September 1, 2020) Abstract 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.

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