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Why the renormalization group flow and the fix-point depends only on the basic symmetry but not on the Lagrangian form.In general speaking,the physics laws depend only the basic symmetries?By the way,the Klein-Gordon,linear sigma,nonlinear sigma Lagrangian flow to one another under the basic symmetry that is O(N) of scalar field?

Thank you very much in advance.

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# Why the renormalization group flow depends only the basic symmetry,but not Lagrangian

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