2nd School: 2023 (Online)

The 2nd \(\mathcal{C}\mathtt{osmo}\mathcal{L}\mathtt{attice}\) school was held online during Sept. 25-29 2023. The school provided a pedagogical introduction to lattice field theory techniques and their adaptation to simulate the dynamics of interacting fields in an expanding background.

The lectures also introduced \(\mathcal{C}\mathtt{osmo}\mathcal{L}\mathtt{attice}\) as a public code for lattice simulations of early Universe scenarios. The program covered the use of \(\mathcal{C}\mathtt{osmo}\mathcal{L}\mathtt{attice}\) to simulate the non-linear dynamics of scalar and gauge fields in an expanding Universe, together with applications to inflation, preheating, gravitational wave production, non-minimally coupled scalar field dynamics, axion-like field dynamics, and related topics.

The Indico page of the event was:

https://indico.ific.uv.es/event/7055/

Lecturers:

  1. J. Baeza-Ballesteros ....... IFIC, Valencia, Spain
  2. D. G. Figueroa ............. IFIC, Valencia, Spain
  3. A. Florio ................. Brookhaven Natl. Lab, US
  4. J. Lizarraga .............. UPV/EHU, Bilbao, Spain
  5. N. Loayza ................. IFIC, Valencia, Spain
  6. K. Marschall ............... IFIC, Valencia, Spain
  7. T. Opferkuch .............. Berkeley, California, US
  8. B. A. Stefanek ............. Zurich U., Switzerland
  9. F. Torrenti ................ IFIC, Valencia, Spain
  10. A. Urio ..................... UPV/EHU, Bilbao, Spain

Topics

  • Lattice field theory techniques: discretisation schemes, lattice gauge techniques, and more.
  • Numerical algorithms for differential equations: Leapfrog, Verlet, Runge-Kutta, etc.
  • Overview of CosmoLattice: libraries, modularity, parallelisation, etc.
  • Lattice simulations of interacting fields in an expanding background:
    • Scalar field dynamics with arbitrary potentials.
    • U(1) gauge theories with complex charged scalars.
    • SU(2) gauge theories with doublet charged scalars.
  • Modern applications to early Universe scenarios:
    • Preheating scenarios and the onset of radiation domination.
    • Production and evolution of gravitational waves.
    • Dynamics of derivatively coupled axion-like fields.
    • Dynamics of non-minimally coupled scalar fields.
    • Other topics, time permitting.