Complexity Induced Lifshitz Ordering with Multifractal Antiscreening/Screening (CILOMAS)

• An innovative theory in phase transitions related to complex helical orderings.
• The phenomenon is induced by the “running” of the propagator-coupling constant.
• The calculations are based on the exact renormalization group.
• An example of gravitational evolution is described.
• CILOMAS discusses Lifshitz points and virtual particles such as dark matter.

We demonstrate that renormalization-group effects of scale-running propagator-coupling constants due to classical fluctuations can induce antiscreening/screening and multifractal symmetry breakings among various helical and other ordered states of generalized Lifshitz character leading to novel phase-transition associated complexities in condensed matter physics and gravitational evolution. Such phenomenon can exhibit the sporadic and localized appearance of virtual particles and in the context of cosmological evolution, the coarse-grained scale-running of the gravitational constant G due to classical fluctuations may provide a partial explanation to the dark matter mystery.