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We study the occurrence of SO(5) symmetry in the low-energy sector oftwo-chain Hubbard-like systems by analyzing the flow of the running couplings($g$-ology) under renormalization group in the weak-interaction limit. It isshown that SO(5) is asymptotically restored for low energies for rather generalparameters of the bare Hamiltonian. This holds also with inclusion of anext-nearest-neighbor hopping which explicitly breaks particle-hole symmetryprovided one accounts for a different single-particle weight for thequasiparticles of the two bands of the system. The physical significance ofthis renormalized SO(5) symmetry is discussed.Comment: Final version: to appear in Phys. Rev. Lett., sched. Mar. 9

Renormalized SO(5) Symmetry in Ladders with Next-Nearest-Neighbor Hopping