Inhomogeneous chiral symmetry breaking in noncommutative four fermion   interactions
  The generalization of the Gross-Neveu model for noncommutative 3+1 space-time has been analyzed. We find indications that the chiral symmetry breaking occurs for an inhomogeneous background as in the LOFF phase in condensed matter. 
Paolo Castorina, Giuseppe Riccobene, Dario Zappala'