Submissions from M. A. Albu

[1]  faKiv:2103.08117 [pdf]
The Lorentzian model for non-pre-inflationary field theories on a circle
Comments: 9 pages, 1 figure, 3 tables

We study the Lorenzian model of non-pre-inflationary field theories on a circle with a non-zero cosmological constant, by introducing a Jomon-de-Sitter (JDS) constant. We find that the model is a Lorenzian model because the metric is the same as the one of a complex scalar field theory. The model has a degenerate Lorenzian-Schwarzschild-Toda (JT) term in the form of a non-specific term in the propagation of the scalar field. The non-inflationary field theory is given by a four-parameter family of two-field models and a six-parameter family of two-field models with four fields. We use the results of this system to study possible sources of the Lorenzian term in the model. For four-field models, we show that it is possible to obtain a Lorenzian theory with a degenerate Lorenzian-Schwarzschild-Toda term for the scalar field. We also show that the case of two-fields is equivalent to the case of two-fields, and we conjecture that in this case the Lorenzian term leads to the same result as in the case of scalar fields.