Massless fermions localization on domain walls

Exactly massless fermions on the Lattice

My talk at Lattice 98 essentially consisted of two parts : (1) The general solution of the Ginsparg-Wilson (GW) relation; (2) Some numerical results for the ( generalized ) NeubergerDirac fermion operator. In this writeup, due to the page limit, I confine my discussions to the second part of which I did not have enough time to cover in my talk. For the first part, I refer to ref. [5] and ref. [...

Weyl fermions: Massless yet real.

863 news & views and patterning, opens up a wide range of new applications for hot-electron-driven chemistry. The LEE source might also prove a critical tool for obtaining a deeper nanoscale understanding of radiation chemistry and biology, and material degradation by high-energy radiation in general. The quantum description of spin-1/2 particles is given by the solutions of the Dirac equation....

Magnetic domain walls of relic fermions as Dark Energy

We show that relic fermions of the Big Bang can enter a ferromagnetic state if they possess a magnetic moment and satisfy the requirements of Stoner theory of itinerant ferromagnetism. The domain walls of this ferromagnetism can successfully simulate Dark Energy over the observable epoch spanning ∼ 10 billion years. We obtain conditions on the anomalous magnetic moment of such fermions and thei...

Localization of Bulk Form Fields on Dilatonic Domain Walls

We study the localization properties of bulk form potentials on dilatonic domain walls. We find that bulk form potentials of any ranks can be localized as form potentials of the same ranks or one lower ranks, for any values of the dilaton coupling parameter. For large enough values of the dilaton coupling parameter, bulk form potentials of any ranks can be localized as form potentials of both t...

Hot Bang States of Massless Fermions