Axial anomalies in gauge theory by exact renormalization group method

Details Axial anomalies in gauge theory by exact renormalization group method Axial anomalies in gauge theory by exact renormalization group method

1994-03-14

arxiv.org/abs/hep-th/9403074v1

Phys.Lett. B329 (1994) 249-258

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(94)90768-4

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 $\L$ and the boundary conditions for the relevant couplings. The physical theory is obtained at $\L=0$. In our approach the symmetry is implemented by choosing the boundary conditions for the relevant couplings not at the ultraviolet point $\L=\L_0\to\infty$ but at the physical value $\L=0$. As an illustration, we compute the triangle axial anomalies.

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