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- Title
On global behavior of classical effective field theories.
- Authors
Kadar, Istvan
- Abstract
In this paper, we continue the rigorous study of classical effective field theories (EFTs) that was recently initiated in the work of Reall and Warnick. We study a system with one light and one heavy field with cubic coupling and prove global existence [of the ultraviolet (UV) solution] under an effective norm in the high mass limit. Furthermore, we prove that the global solution linearly scatters (in Lax–Philips sense) and that this final state has an expansion in inverse powers of the mass, and can be recovered from the EFT equation alone.
- Subjects
FIELD theory (Physics); EQUATIONS; SENSES
- Publication
Journal of Hyperbolic Differential Equations, 2024, Vol 21, Issue 1, p85
- ISSN
0219-8916
- Publication type
Article
- DOI
10.1142/S0219891624500036