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Technical Notes

\(\mathtt{Note~I}\)

.   Lattice Power spectrum

Written on May 6, 2022 (Corrected on June 8, 2022)

Authors: Daniel G. Figueroa and Adrien Florio

Abstract: This technical note discusses the notion of power spectrum on a lattice. All the features described here have been implemented in \(\mathcal{C}\mathtt{osmo}\mathcal{L}\mathtt{attice}\) since \({\tt version~1.1}\).

You can obtain this Technical Note I as a PDF file here: Download Link. Alternatively, you can read it as an HTML document.

\(\mathtt{Note~II}\)

.   Gravitational waves on the Lattice, sourced by scalar fields

Written on May 6, 2022 (Corrected on June 20, 2023)

Authors: Jorge Baeza-Ballesteros, Daniel G. Figueroa, Nicolas Loayza and Adrien Florio

Abstract: This is a technical note about the dynamics of gravitational waves (GWs) on a lattice. We present lattice analogues of tensor metric perturbations representing GWs, a proper lattice definition of the energy density power spectrum of a background of GWs, and a discretized version of the equations of motion of GWs sourced by scalar fields in an expanding background. All these features are implemented in \(\mathcal{C}\mathtt{osmo}\mathcal{L}\mathtt{attice}\) since \({\tt version~1.1}\).

You can obtain this Technical Note II as a PDF file here: Download Link. Alternatively, you can read it as an HTML document.

\(\mathtt{Note~III}\)

.   Gravitational waves on the Lattice, sourced by charged scalars and gauge fields

Written on June 16, 2023

Authors: Jorge Baeza-Ballesteros, Daniel G. Figueroa and Nicolas Loayza

Abstract: This is a technical note about the dynamics of gravitational waves (GWs) sourced by U(1) charged complex scalars and Abelian gauge fields on a lattice. All new features are implemented in \(\mathcal{C}\mathtt{osmo}\mathcal{L}\mathtt{attice}\) since \({\tt version~1.2}\).

You can obtain this Technical Note III as a PDF file here: Download Link. Alternatively, you can read it as an HTML document.

Attention

If the reader is not familiar with the concept of gravitational waves on a lattice, we recommend them to read first our Technical Note II, for a proper introduction of the relevant concepts.