In the past
few years, there has been an increase in books claiming that there was no
historical Jesus Christ; the best attempts at supporting this theory has been
Robert M. Price, The Christ-Myth Theory and its Problems and Richard
Carrier, On the Historicity of Jesus Christ. However, one of the (many)
insurmountable problems with this theory pertains to that of James, the “brother
of the Lord.”
Daniel N.
Gullotta has a very good article showing that the thesis of Price et al.
flounders under careful exegesis, "Was James the Brother of Jesus?"
One can access the article here.
As an aside, to see a recent debate between Richard Carrier and a Roman Catholic apologist, Trent Horn, on the historicity of Jesus where this issue, and many others, are debated, see the following video on You Tube: