The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We summarize the status of these sum rules and analyze their overall agreement with phenomenological Lagrangians, low-energy relations, parity doubling, hadron string models, and experimental data.

p. cm. – (Political economy of institutions and decisions) Includes bibliographical references and index.

Abstract We demonstrate how to resum phase space logarithms in the Sterman-Weinberg (SW) dijet decay rate within the context of Soft Collinear Effective theory (SCET). An operator basis corresponding to two and three jet events is defined in SCET and renormalized. We obtain the RGE of the two and three jet operators and run the operators from the scale μ2 = Q2 to the phase space scale μδ = δ 2 ...

The dynamical properties of the gauge theory of Born-Infeld type action, which is expected as the high-energy effective theory, are investigated by adding a complex scalar field to this gauge system. Especially the Coleman-Weinberg mechanism is addressed in this theory. ∗ e-mail address: [email protected] † e-mail address: [email protected] 1

gene-by-environment interaction studies: revelations and remedies. Epidemiology 2011;22:400–07. 4 Weinberg CR, Shi M, Umbach DM. A sibling-augmented case-only design for assessing multiplicative gene-environment interaction. Am J Epidemiol 2011;174:1183–89. 5 Kistner EO, Shi M, Weinberg CR. Using cases and parents to study multiplicative gene-by-environment interaction. Am J Epidemiol 2009;170:...

stearoyl-coa desaturase (scd) is a rate-limiting enzyme in the biosynthesis of monounsaturated fatty acids (mufa). a number of studies support the hypothesis that scd gene regulation and polymorphism may affect fatty acid composition and fat quality in meat and milk. single nucleotide polymorphisms in the coding region of the bovine stearoyl-coa desaturase gene have been predicted to result in ...

Let   G Aut and  E G   denote the automorphism group and the edge set of a graph  G, respectively. Weinberg’s Theorem states that 4 is a constant sharp upper bound on the ratio     G E G Aut over planar (or spherical) 3-connected graphs  G. We have obtained various analogues of this theorem for nonspherical graphs, introducing two Weinberg-type bounds for an arbitrary closed surfa...