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 $Ł$ and the boundary conditions for the relevant couplings. The physical theory is obtained at $Ł=0$. In our approach the symmetry is implemented by choosing the boundary conditions for the relevant couplings not at the ultraviolet point $Ł={Ł}_0\to \infty$ but at the physical value $Ł=0$. As an illustration, we compute the triangle axial anomalies.

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

References in corpus (3)

• Exact evolution equation for the effective potential
• Perturbative renormalization and infrared finiteness in the Wilson renormalization group: the massless scalar case
• Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance

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