17,445 research outputs found

    Conservation laws arising in the study of forward-forward Mean-Field Games

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    We consider forward-forward Mean Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of hyperbolic conservation laws as well as certain nonlinear wave equations. Second, we investigate existence and long-time behavior of solutions for such models

    Christianity as a Culture of Mobility: A Case Study of Asian Transient Migrants in Singapore

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    More than ever before, the global and transnational movements of young people for work and study have become part of everyday life. Yet there is very little research on this phenomenon in relation to how actors in transience create strategies to cope with being away from home nation (place of birth and/or citizenship) and from family. As part of the findings of a larger international study on the identities, social networks and media/communication use of transient migrants, researchers found that Christianity featured prominently during life in transience for Asian respondents. This paper thus puts forward the notion that Christianity may well function as a culture of mobility by looking at its significance to Asian “foreign talent” transient migrants in Singapore. Through face-toface interviews with fifty-seven Asian working professionals and international students, this paper found thirty that not only identified themselves as Christian, but whose social networks were also made up of Asian foreign talent transient migrant Christians. This paper thus suggests that Asian foreign talent transient migrants turn to Christianity as a way of coping with everyday life in transience. The Christian groups they join allow them to create a sense of community while being away from the home nation. This sense of community however is with other transient migrants, rather than with locals

    On spin-1 massive particles coupled to a Chern-Simons field

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    We study spin one particles interacting through a Chern-Simons field. In the Born approximation, we calculate the two body scattering amplitude considering three possible ways to introduce the interaction: (a) a Proca like model minimally coupled to a Chern-Simons field, (b) the model obtained from (a) by replacing the Proca's mass by a Chern-Simons term and (c) a complex Maxwell-Chern-Simons model minimally coupled to a Chern-Simons field. In the low energy regime the results show similarities with the Aharonov-Bohm scattering for spin 1/2 particles. We discuss the one loop renormalization program for the Proca's model. In spite of the bad ultraviolet behavior of the matter field propagator, we show that, up to one loop the model is power counting renormalizable thanks to the Ward identities satisfied by the interaction vertices.Comment: 14 pages, 5 figures, revte

    Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra

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    In this paper we introduce a modified covariant quantum algebra based in the so-called Quesne-Tkachuk algebra. By means of a deformation procedure we arrive at a class of higher derivative models of gravity. The study of the particle spectra of these models reveals an equivalence with the physical content of the well-known renormalizable and super-renormalizable higher derivative gravities. The particle spectrum exhibits the presence of spurious complex ghosts and, in light of this problem, we suggest an interesting interpretation in the context of minimal length theories. Also, a discussion regarding the non-relativistic potential energy is proposed.Comment: Small corrections were made; improved figures; results unchanged; published versio
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