Is Peter the “Cephas” mentioned in Galations?

A while back at an Eastern Orthodox event I had mentioned in passing at least one Church Father asserted that the “Cephas” mentioned in Galatians wasn’t the Apostle Peter. In the link below, Dr. Barber explains why he thinks that the “Cephas” of Galatians and the Apostle Peter are the same person:

…and his followup.