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Tunneling decay of self-gravitating vortices
Dupuis, É,ric,Gobeil, Yan,Lee, Bum-Hoon,Lee, Wonwoo,MacKenzie, Richard,Paranjape, Manu B.,Yajnik, Urjit A.,Yeom, Dong-han,Gwak, B.,Kang, G.,Kim, C.,Kim, H.-C.,Lee, C.-H.,Lee, J.,Lee, S.,Lee, W. EDP Sciences 2018 The European Physical Journal Conferences Vol.168 No.-
<P>We investigate tunneling decay of false vortices in the presence of gravity, in which vortices are trapped in the false vacuum of a theory of scalar electrodynamics in three dimensions. The core of the vortex contains magnetic flux in the true vacuum, while outside the vortex is the appropriate topologically nontrivial false vacuum. We numerically obtain vortex solutions which are classically stable; however, they could decay via tunneling. To show this phenomenon, we construct the proper junction conditions in curved spacetime. We find that the tunneling exponent for the vortices is half that for Coleman-de Luccia bubbles and discuss possible future applications.</P>
Li, H.,Kilpelä,inen, T. O.,Liu, C.,Zhu, J.,Liu, Y.,Hu, C.,Yang, Z.,Zhang, W.,Bao, W.,Cha, S.,Wu, Y.,Yang, T.,Sekine, A.,Choi, B. Y.,Yajnik, C. S.,Zhou, D.,Takeuchi, F.,Yamamoto, K.,Chan, J. C.,Man Springer-Verlag 2012 Diabetologia Vol.55 No.4
<P><B>Aims/hypothesis</B></P><P><I>FTO</I> harbours the strongest known obesity-susceptibility locus in Europeans. While there is growing evidence for a role for <I>FTO</I> in obesity risk in Asians, its association with type 2 diabetes, independently of BMI, remains inconsistent. To test whether there is an association of the <I>FTO</I> locus with obesity and type 2 diabetes, we conducted a meta-analysis of 32 populations including 96,551 East and South Asians.</P><P><B>Methods</B></P><P>All studies published on the association between <I>FTO</I>-rs9939609 (or proxy [<I>r</I><SUP>2</SUP> > 0.98]) and BMI, obesity or type 2 diabetes in East or South Asians were invited. Each study group analysed their data according to a standardised analysis plan. Association with type 2 diabetes was also adjusted for BMI. Random-effects meta-analyses were performed to pool all effect sizes.</P><P><B>Results</B></P><P>The <I>FTO</I>-rs9939609 minor allele increased risk of obesity by 1.25-fold/allele (<I>p</I> = 9.0 × 10<SUP>−19</SUP>), overweight by 1.13-fold/allele (<I>p</I> = 1.0 × 10<SUP>−11</SUP>) and type 2 diabetes by 1.15-fold/allele (<I>p</I> = 5.5 × 10<SUP>−8</SUP>). The association with type 2 diabetes was attenuated after adjustment for BMI (OR 1.10-fold/allele, <I>p</I> = 6.6 × 10<SUP>−5</SUP>). The <I>FTO</I>-rs9939609 minor allele increased BMI by 0.26 kg/m<SUP>2</SUP> per allele (<I>p</I> = 2.8 × 10<SUP>−17</SUP>), WHR by 0.003/allele (<I>p</I> = 1.2 × 10<SUP>−6</SUP>), and body fat percentage by 0.31%/allele (<I>p</I> = 0.0005). Associations were similar using dominant models. While the minor allele is less common in East Asians (12–20%) than South Asians (30–33%), the effect of <I>FTO</I> variation on obesity-related traits and type 2 diabetes was similar in the two populations.</P><P><B>Conclusions/interpretation</B></P><P><I>FTO</I> is associated with increased risk of obesity and type 2 diabetes, with effect sizes similar in East and South Asians and similar to those observed in Europeans. Furthermore, <I>FTO</I> is also associated with type 2 diabetes independently of BMI.</P><P><B>Electronic supplementary material</B></P><P>The online version of this article (doi:10.1007/s00125-011-2370-7) contains peer-reviewed but unedited supplementary material, which is available to authorised users.</P>