Prediction of the density-pressure-temperature behavior of the 5CB Liquid Crystal, at the Isotropic-Nematic phase transition

In this work, we have analyzed of density-pressure-temperature behavior at the Isotropic-Nematic phase transition of the 5CB liquid crystal at 1 atm by using a first-order perturbation theory for Convex Peg HERSW model. We predicted quantitatively the experimental behavior in this region of the diagram phase.

Einstein–Yang–Mills theory: gauge invariant charges and linearization instability

We construct the gauge-invariant electric and magnetic charges in Yang–Mills theory coupled to cosmological general relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser (Phys Lett B 116:259–263, 1982). For non-vanishing background gauge fields, the charges receive non-trivial contribution from the gravity part. In addition, we study the constraints on the first order perturbation theory and establish the conditions for linearization instability: that is the validity of the first order perturbation theory.