Effect of elastic deformations on the critical behavior of three-dimensional systems with long-range interaction

A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Padé-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points that determine the critical behavior of the system are found. It is shown that the effect of elastic deformations on a system with a long-range interaction causes changes in its critical, as well as multicritical, behavior.