For n-component conserved fields with nonlinear non-reciprocal coupling, one-loop RG shows that n ≥ 4 yields a fixed point with emergent detailed balance and fewer independent exponents due to conservation.
Le Bellac,Quantum and Statistical Field Theory(Oxford University Press, Oxford, 1992)
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Critical Dynamics of Non-Reciprocally Coupled Conserved Systems
For n-component conserved fields with nonlinear non-reciprocal coupling, one-loop RG shows that n ≥ 4 yields a fixed point with emergent detailed balance and fewer independent exponents due to conservation.