Causality and universality in low-energy quantum scattering

We generalize Wigner's causality bounds and Bethe's integral formula for the effective range to arbitrary dimension and arbitrary angular momentum. Moreover, we discuss the impact of these constraints on the separation of low- and high-momentum scales and universality in low-energy quantum scattering.Comment: 9 pages, 1 figure, published versio

Causality and dispersion relations and the role of the S-matrix in the ongoing research

The adaptation of the Kramers-Kronig dispersion relations to the causal localization structure of QFT led to an important project in particle physics, the only one with a successful closure. The same cannot be said about the subsequent attempts to formulate particle physics as a pure S-matrix project. The feasibility of a pure S-matrix approach are critically analyzed and their serious shortcomings are highlighted. Whereas the conceptual/mathematical demands of renormalized perturbation theory are modest and misunderstandings could easily be corrected, the correct understanding about the origin of the crossing property requires the use of the mathematical theory of modular localization and its relation to the thermal KMS condition. These new concepts, which combine localization, vacuum polarization and thermal properties under the roof of modular theory, will be explained and their potential use in a new constructive (nonperturbative) approach to QFT will be indicated. The S-matrix still plays a predominant role but, different from Heisenberg's and Mandelstam's proposals, the new project is not a pure S-matrix approach. The S-matrix plays a new role as a "relative modular invariant"..Comment: 47 pages expansion of arguments and addition of references, corrections of misprints and bad formulation

Häst- och ridsport utifrån ett kulturpolitiskt perspektiv : Om Karlstad Kommuns ekonomiska stöd till ideella föreningar inom häst- och ridsport

The purpose of this paper is to view Karlstad Municipality and their financial support to non-profit organizations within equestrian sports. Despite the varying representatives of various equestrian sports in Karlstad, there seems to be a single beneficiary within the sport when it comes to financial support from the municipality.   The policies and plans concerning cultural development are directly compared to the Karlstad Municipality and its contribution to these organizations within equestrian sports. Through interviews and reports I have studied the process of financial support from the Karlstad municipality using an intersectionality theory based on Nina Lykkes guide on gender studies and feminist theory. Pierre Bourdieu’s theories on field, habitus and capital are also used as a method to enhance the understanding of equestrian sports and its role in modern Swedish society.   The conclusion is that the Karlstad Municipality is, for a several of reasons, promoting non-profit organizations within equestrian sports, which are operating as riding schools. Through the material I have processed, I have concluded that there are indeed some trends to be recognized. Equestrian sports have, in Swedish society, played only a minor role in spite of its popularity. The trend is, which I show in this thesis, that equestrian sports are becoming more significantly recognized in the field of popular sports. The Karlstad Municipality administers financial support to non-profit organizations such as riding schools working to reach goals and ambitions written in policies and plans concerning cultural development despite improvements that could be made for a more efficient path in achieving said goals and ambitions

Multiplicity formulas for fundamental strings of representations of classical Lie algebras

We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any p-fundamental string.Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Humboldt Universität zu Berlin; AlemaniaFil: Rossi Bertone, Fiorela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentin