Renormalization Group Flow in large N_c

Abstract

We calculate renormalization group flow equations for the linear sigma-model in large N_c approximation. The flow equations decouple and can be solved analytically. The solution is equal to a self consistent solution of the NJL model in the same approximation, which shows that flow equations are a promising method to extend the calculation to higher order in 1/N_c. Including explicit chiral symmetry breaking, the large N_c approximation describes physics reasonably well. We further compare the analytic solution to the usually used polynomial truncation and find consistency.

15 pages, 4 figures, submitted to Phys. Lett. B, added references

References in corpus (3)

• Exact evolution equation for the effective potential
• Predictive power of renormalisation group flows: a comparison
• Evolution equations for the effective four-quark interactions in QCD

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