A new analytical approach based on dynamical equations

An Analytical Study of Three-State Potts Model on Lattice

“…It has given many encouraging results. [26] In this paper, we try to apply this analytical method to three-dimensional threestate Potts model with aim to investigate the question of the order of the transition. We shall calculate the internal energy, specific heat, and order parameter.…”

The Phase Transition Generated by Radial Mode of the Higgs Field in Lattice Z (2) Gauge-Higgs Model

“…However, we need more analytical analyses in order to understand this theory deeply. Recent papers' 6 ' show that the variational cumulant expansion is* also an effective method for lattice gauge theory investigation. In this paper, we use this analytical method to study the dependence of the existence.of the first order phase transition between Higgs and confinement regions on the fluctuation of the radial mode of the scalar field in 4-dimensional lattice Z(2) gauge-scalar theory.…”

Novel Approach to Lattice Field Theory

“…3 Then a method which imposes the Schwinger-Dyson equation on an expansion of the correlation function is introduced. 4 With this method we recently were able to calculate to higher orders, 5 determining geometrical coefficients by computer instead of enumerating contributions graphically. Our quantitative second-order results revealed the necessity of revising the rules of this method and showed that severe limitations on its computational accuracy remain.…”