English

Moduli space with a boundary

High Energy Physics - Theory 2022-12-07 v1 Mathematical Physics math.MP Pattern Formation and Solitons

Abstract

We find that for various solitonic processes the corresponding canonical moduli space can have a boundary which is accessible in a finite time evolution. We show that such a boundary is not a failure of the moduli space approach but has a physical meaning. In our example, it corresponds to the complete annihilation of a colliding kink and antikink after a finite time. We further find that, close to the boundary, the solutions have an approximate self-similar form.

Keywords

Cite

@article{arxiv.2210.09068,
  title  = {Moduli space with a boundary},
  author = {C. Adam and K. Oles and T. Romanczukiewicz and A. Wereszczynski},
  journal= {arXiv preprint arXiv:2210.09068},
  year   = {2022}
}

Comments

8 pages, 8 figures

R2 v1 2026-06-28T03:49:03.305Z