I am currently in the process of editing a music video in which we played the song while filming. Is there any way to sync the filmed captured audio with the actual song if the song is uploaded as its own track?
I have found this very difficult because of subtle differences in the speed of playing live vs recorded audio.
You should try to sync the video to the audio because human hearing is much more sensitive to speed changes / cuts etc in audio whereas subtle speed changes in video are much more acceptable
Depending on the accuracy of time you may have to make too many cuts / speed adjustments etc to the video to sync correctly with the audio.
If you used multiple cameras to shoot the video from different angles then you can switch views to hide obvious jumps in the sync.
Is the Video with sound track one continuous take of the whole song or is it clips (takes) from one camera with breaks in the song between changes of camera position.
If the former then John's method will work but if the latter then the only aid I can think of to match the Audio track with the video sound track if to display the waveform of both tracks at sufficient zoom to be able to visually match the beats in the timeline, and and cut and drag them to match the video clips sound track's beat positions, with a little timestretching of one or the other if necessary.
There is one program that will take the audio from a separate audio recording (your "actual song") and sync it to single frame accuracy to the audio track from the camera. The program is PluralEyes, not free, but if you want to produce your music video to make it look as "professional" as possible I would thoroughly recommend it.