Using a recently developed method to rigorously control the finite-size behaviour in long cylinders near first-order phase transitions, I calculate the finite-size scaling of the first q+1 eigenvalues of the transfer matrix of the q states Potts model in a d dimensional periodic box of volume L × . . . × L × t (assuming that d ≥ 2 and that q is sufficiently large). I find two simple eigenvalues...

We calculate the F/D ratios of spin-nonflip baryon vertex for an arbitrary number of color degrees of freedom Nc both in the non-relativistic quark model with the SU(6) spin-flavor symmetry and in the chiral soliton model with SU(3) flavor symmetry. We find that the spin-nonflip F/D ratio tends to −1 in the limit of Nc → ∞. We show that this leading value F/D = −1 of spin-nonflip baryon vertex ...

We study the attractor equations for a quantum corrected prepotential F = t3 + iλ, with λ ∈ R,which is the only correction which preserves the axion shift symmetry and modifies the geometry. By performing computations in the “magnetic” charge configuration, we find evidence for interesting phenomena (absent in the classical limit of vanishing λ). For a certain range of the quantum parameter λ w...

We study the attractor equations for a quantum corrected prepotential F = t3 + iλ, with λ ∈ R,which is the only correction which preserves the axion shift symmetry and modifies the geometry. By performing computations in the “magnetic” charge configuration, we find evidence for interesting phenomena (absent in the classical limit of vanishing λ). For a certain range of the quantum parameter λ w...

We provide a framework for quasi-degenerate neutrinos consistent with a successful leptogenesis, based on the Lµ − Lτ flavor symmetry and its breaking pattern. In this scheme, a fine-tuning is needed to arrange the small solar neutrino mass splitting. Once it is ensured, the atmospheric neutrino mass splitting and the deviation from the maximal atmospheric mixing angle ∆θ23 are driven by the sa...

We study linear problems Sd defined on tensor products of Hilbert spaces with an additional (anti-) symmetry property. We construct a linear algorithm that uses finitely many continuous linear functionals and show an explicit formula for its worst case error in terms of the eigenvalues λ = (λm)m∈N of the operator W1 = S1 S1 of the univariate problem. Moreover, we show that this algorithm is opt...

Using a simple quark-diquark model, we extract a set of unpolarized and polarized fragmentation functions for the Λ based on the available unpolarized Λ production data in ee annihilation. It is found that there is a strong SU(3) flavor symmetry breaking in the unpolarized Λ fragmentation functions and that the polarized u and d quark contributions to the polarized Λ fragmentation are positive ...

In this note we will show that the Λ symmetry, namely the U (1) symmetry of the open string sigma model which relates the B-field and the U (1) gauge field of a brane to each other, is deformed to a noncommutative version in a constant B-field background. *

It is shown that the Λ/Λ cross section ratio in semi-inclusive electroproduction of Λ and Λ hyperons in deep inelastic scattering of charged lepton on a nucleon target, can provide useful information on the quark to Λ fragmentation functions. This ratio is calculated explicitly in a quark-diquark model, a pQCD based analysis, and an SU(3) symmetry model, with three different options for the con...

In this note we will show that the Λ symmetry, namely the U (1) symmetry of the open string sigma model which relates the B-field and the U (1) gauge field of a brane to each other, is deformed to a noncommutative version in a constant B-field background. *