An arrest warrant is a written order which is made on behalf of the State of Tennessee and is based upon a affidavit of complaint issued pursuant to a statute which commands a police officer to arrest that person and bring them before a magistrate .  This is one way to start a criminal case

https://youtube.com/watch?v=RbwSwvUaRqc%26hl%3Den_US%26fs%3D1%26

Here is a video of an execution of a search warrant.  Most search warrants do not go like this, but I thought it is a great example of a search warrant gone wrong.  Thanks to Simple Justice and Radley Balko for this educational video.