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Wilson–Polchinski exact renormalization group equation for O (<i>N</i>) systems: leading and next-to-leading orders in the derivative expansion
With a view to study the convergence properties of the derivative expansion of the exact renormalization group (RG) equation, I explicitly study the leading and next-to-leading orders of this expansion applied to the Wilson-Polchinski equation in the case of the $N$-vector model with the symmetry $\mathrm{O}(N) $. As a test, …