Apparent large failures of perturbation theory in lattice gauge theory at g* 5 1.0 result from the use of the bare coupling constant of the lattice regulator in the perturbative expansion. They can be cured by the use of a coupling constant defined by some physical process. Thissituation is thesame as that encountered in dimensionally regularized perturbation theory, where the use of a coupling...

The conventional weak-coupling expansion for the pressure of a hot plasma shows no sign of convergence unless the the coupling constant g is tiny. In this talk, I discuss screened perturbation theory (SPT) which is a reorganization of the perturbative expansion by adding and subtracting a local mass term in the Lagrangian. We consider several different mass prescriptions, and compute the pressu...

With the aid of multivariate Sheffer-type polynomials and differential operators, this paper provides two kinds of general expansion formulas, called respectively the first expansion formula and the second expansion formula, that yield a constructive solution to the problem of the expansion of A(t̂)f(ĝ(t)) (a composition of any given formal power series) and the expansion of the multivariate ent...

The perturbative expansion series in coupling constant in QED is divergent. It is either an asymptotic series or an arrangement of a conditionally convergent series. The sums of these types of series depend on the way we arrange the partial sums for successive approximations. The 1/Nf series expansion in QED, where Nf is the number of flavours, defines a rearrangement of the perturbative series...

α-Synuclein is an intrinsically disordered protein whose aggregation is a hallmark of Parkinson's disease. In neurons, α-synuclein is thought to play important roles in mediating both endo- and exocytosis of synaptic vesicles through interactions with either the lipid bilayer or other proteins. Upon membrane binding, the N-terminus of α-synuclein forms a helical structure and inserts into the h...

Abstract The bubble point pressure is essential for planning and managing oil field development production strategies. conventional procedure of the determination volume a trial-and-error method. Consequently, this leads to lack uniqueness, accuracy, repeatability solution. This paper describes new technique that utilizes pressure–volume (PV) data obtained from constant-composition expansion (C...