If police have probable cause to arrest you, then it will go to a judge or magistrate and request a warrant for your arrest be issued, or a court will issue a warrant for your arrest from the bench if you fail to appear in court pursuant to a court order. The warrant  is entered onto a database so that officers in the field will either go to your home or place of business.   If the matter is not a particularly serious one or a misdemeanor, police will usually wait until you are stopped for a traffic violation or you are involved in some other matter where an official is able to access information on your status.