So there can be an infinite series of movers and causes?
Do you mean an infinite series of movers and moved, or an infinite series of causes and effects?
In either case, there cannot be, because the infinite loop would need to be complete and consistent - a self-contained system.
This, however, is not logically possible. It would involve finite entities generating an uncountably infinite series of effects - but a finite set of entities (or described logically: rules, or sentences) cannot generate such a cloud of effects using an internally consistent algorithm.