Momentum-dependent spinors and the cosmological constant

Domenico Benini, Giandomenico Lombardo, C. F. Mazzitelli
Comments: 25 pages, 6 figures, 1 table. Will appear in a special issue of the Special Issue of Physics Letters B

We study spinors with momentum dependent on the angular momentum of the vector field theory. We study a simple model of a massless scalar field and a vector field. We obtain a non-trivial expression for the cosmological constant. We then derive the cosmological constant in terms of the momentum dependent spinors. This expression is an exact solution of the Einstein equations. We also study a more general solution of the Einstein equations with two scalar fields, and show that it also reproduces the cosmological constant. The solution reproduces the cosmological constant of the given model in the presence of matter.