Here is a study resource that addresses the question "Is Christianity a Nonviolent Faith?" [PDF]
Written by the Rev. Tim Simpson of Jacksonville, Florida, the resource explores the witness to nonviolence and peace in the New Testament and the writings of the early Christians.
It is designed for a two-week study, although it contains enough material that the study may be extended to four or more weeks.
The Presbyterian Peacemaking Program provides links to a variety of resources on nonviolence.