Name: Susan Virginia (Zone 8a) God is the only thing that matters.
The 'Red Dragon' is sterile, but other forms of Persicaria are very invasive. Golden Arrow and Firetail seem to be alright though, not aggressive.
Consider the lilies of the field, how they grow; they toil not, neither do they spin: And yet I say unto you, That even Solomon in all his glory was not arrayed like one of these. Mat.6:28-29