There are numerous reports and videos on the internet with bugs and glitches in Fallout: New Vegas. I have personally experienced some minor problems, but nothing like this.
Bethesda's Pete Hines told Kotaku: "We are currently working on releasing patches/updates as quickly as possible for Fallout: New Vegas, for all platforms. Announcements regarding the patches are forthcoming."
He also suggested that PC player should re-verify their files with Steam, as the issue stems from "a corrupt mesh file".