Linux on a Xilinx FPGA without EDK
@Blair Fonville is right, you can only run Linux on a Sofprocessor in FPGA. Microblaze can run Linux, http://www.wiki.xilinx.com/MicroBlaze. But I think it will need a significant number of logic resources for that, I am not sure whether this Artix can do that. 

Have a look on Zynq chip from Xilinx. There are relatively inexpensive SBCs with Zynq which has dual Cortex A9 inside which can run Linux just fine.