Richard Carrier has argued that Paul believed Jesus "was resurrected by being given a new body, one not made of flesh or physical matter as we know it, but of some kind of ethereal, spiritual material." 
In support of this, Carrier cites 1 Cor. 15:42-44, "So will it be with the resurrection of the dead. The body that is sown is perishable, it is raised imperishable; it is sown in dishonor, it is raised in glory; it is sown in weakness, it is raised in power; it is sown a natural body, it is raised a spiritual body."
Apparently, he has in mind something like the following:
1. Something spiritual is necessarily non-physical.
2. Paul's conception of the resurrection is that of a spiritual body.
3. Therefore, Paul's conception of the resurrection is of a non-physical body.
The problem is certainly with premise (1). If I told you that the Bible is a spiritual book, would it be assumed that I meant to say that the Bible is a non-physical book? Such an interpretation misses the point that a thing can be spiritual in the sense that it exemplifies spiritual properties while simultaneously remaining a physical object.
The Bible is both physical and spiritual, and the same applies to the resurrected body. Paul tells us elsewhere (Rom. 8:11) that, "if the Spirit of him who raised Jesus from the dead is living in you, he who raised Christ from the dead will also give life to your mortal bodies through his Spirit, who lives in you."
What dies - the physical body - is also what rises: "The body that is sown is perishable, it is raised imperishable . . ." This is from the same 1 Cor. 15 text that Carrier cites to begin with.