Order parameter conditions from mutual information and symmetry conditions

The mutual information method has demonstrated to be very useful for deriving the potential order parameter of a system. Although the method suggests some constraints which help to de¯ne this quantity, there is still some freedom in the de¯nition. The method then results ine±cient for cases where we have order parameters with a large number of constants in the expansion, which happens when we have many degenerate vacuums. Here, we introduce some additional constraints based on the existence of broken symmetries, which help us to reduce the arbitrariness in the de¯nitions of the order parameter in the proposed mutual information method. © World Scientific Publishing Company.