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Functional renormalization group of the nonlinear sigma model and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>universality class
We study the renormalization group flow of the $\mathrm{O}(N)$ nonlinear sigma model in arbitrary dimensions. The effective action of the model is truncated to fourth order in the derivative expansion, and the flow is obtained by combining the nonperturbative renormalization group and the background field method. We investigate the flow …