Cosmological spinor

A Cosmological Model with Dark Spinor Source

In this paper, we discuss the system of massive nonlinear dark spinors coupling with the Friedman-Robertson-Walker(FRW) metric in detail, where the thermodynamic movement of spinors is also taken into account. The results reveal that, the nonlinear potential of the spinor field can provide a little negative pressure, which resists the universe to become singular. The model is oscillating in tim...

Spinor Structures

1.1. Conventions used throughout. Symmetrisers and antisymmetrisers of tensors are denoted as usual using parentheses and square brackets, so, for example, C(ab) = 1 2 (Cab + Cba), C[ab] = 1 2 (Cab − Cba), and Cab = C(ab) + C[ab]. If G is a Lie group, L(G) denotes its Lie algebra. Ad(g) is the adjoint representation of G on L(G), defined as the derivative of the inner automorphism of G, g′ 7→ I...

Lecture Notes for Massless Spinor and Massive Spinor Triangle Diagrams

Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?

This paper proves that from the algebraic point of view ELKO spinor fields belong together with Majorana spinor fields to a wider class, the so-called flagpole spinor fields, corresponding to the class 5, according to Lounesto spinor field classification. We show moreover that algebraic constraints imply that any class 5 spinor field is such that the 2-component spinor fields entering its struc...

Configuration Space Spinor Structure

There are three separate approaches to the challenge of constructing WCW Kähler geometry and spinor structure. The first approach relies on a direct guess of Kähler function. Second approach relies on the construction of Kähler form and metric utilizing the huge symmetries of the geometry needed to guarantee the mathematical existence of Riemann connection. The third approach discussed in this ...