2010/12/16 by Er-Cheng Tsai · 11 citations
Mathematics · Physics and Astronomy · #Abelian group #BRST quantization #Black Holes and Theoretical Physics #Computer science #Dimensional regularization #Feynman diagram #Gauge (firearms) #Gauge anomaly #Gauge boson #Gauge symmetry #Gauge theory #Geometry #Hamiltonian lattice gauge theory #Higgs boson #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Regularization (linguistics) #Renormalization #Supersymmetric gauge theory #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.83.065011
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 83(6) (American Physical Society)
arxiv created 2010/12/16 · openalex publication_date 2011/03/07 · arxiv updated 2011/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is known that the \ensuremathγ5 scheme of Breitenlohner and Maison in dimensional regularization requires finite counterterm renormalization to restore gauge symmetry and implementing this finite renormalization in practical calculation is a daunting task even at 1-loop order. In this paper, we show that there is a simple and straightforward method to obtain these finite counterterms by using the rightmost \ensuremathγ5 scheme in which we move all the \ensuremathγ5 matrices to the rightmost position before analytically continuing the dimension. For any 1-loop Feynman diagram, the difference between the amplitude regularized in the rightmost \ensuremathγ5 scheme and the amplitude regularized in the Breitenlohner and Maison scheme can be easily calculated. The differences for all 1-loop diagrams in the chiral Abelian-Higgs gauge theory and in the chiral non-Abelian gauge theory are shown to be the same as the amplitudes due to the finite counterterms that are required to restore gauge symmetry.