1992/12/03 by Hidenori Sonoda, Sonoda, Hidenori · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #High Energy Physics - Theory (hep-th) #Magnetic Bearings and Levitation Dynamics #Solar and Space Plasma Dynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9212025
harvmac, UCLA/92/TEP/46
openalex publication_date 1992/12/03 · arxiv created 1992/12/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the operator product expansion of two non-interacting chiral currents in the presence of external gauge fields in four dimensional euclidean space. We obtain the operator singularity in terms of the beta function of the free energy density and a connection on the space of external gauge fields, by imposing the consistency between the variational formula, introduced previously by the author, and both the renormalization group equations and the equation of motion for the currents. As a byproduct, we derive a euclidean version of the anomalous commutator of two currents in an appendix.