Axial anomalies in gauge theory by exact renormalization group method

Abstract

The global chiral symmetry of a $SU(2)$ gauge theory is studied in the framework of renormalization group (RG). The theory is defined by the RG flow equations in the infrared cutoff $\text{L}$ and the boundary conditions for the relevant couplings. The physical theory is obtained at $\text{L}=0$. In our approach the symmetry is implemented by choosing the boundary conditions for the relevant couplings not at the ultraviolet point $\text{L}={\text{L}}_0\to \infty$ but at the physical value $\text{L}=0$. As an illustration, we compute the triangle axial anomalies.

Comments: 11 pages + 1 appended EPS figure, LaTeX, UPRF 94-392