On the commuting charges and the Bethe ansatz for the quantised Kadomtsev-Petviashvili equation
Chiara Paletta, Alessandro Torrielli
Abstract
We study the quantised version of the Kadomtsev-Petviashvili equation in the formulation proposed in [4]. We analyse two aspects. One is the conservation of the first higher charge H3 (besides the total mass H0, the momentum H1 and the Hamiltonian H2). We find the expression of H3 and prove commutativity, provided we regularise a specific ultraviolet divergence. The result then does not depend on the choice of a regulator, under fairly general assumptions. We then study the Bethe ansatz in finite volume and obtain a general solution to the two-body problem. We have used AI supervised by us to aid the proofs.
Create a lesson
Related papers
Environmental Effects in Post-Minkowskian Dynamics: Effective Field Theory, Feynman Rules, and Ward Identities for Compact Objects in Relativistic Fluids
Zvi Bern, Samuel Degen, Enrico Herrmann et al.
Toward a Unique Filter for the Gravitational Path Integral
Marc S. Klinger
Young Gerard storming high energy physics
John Iliopoulos
Exploring multi-parameter optimization in FRG
A. Codello, G. P. Vacca, D. Zarrilli
New Bethe vacua for N=2 elliptic models
Antonio Amariti, Pietro Glorioso, Chiara Mascherpa et al.
Holographic correlators with non-supersymmetric multi-particle states
Michele Giorgi, Stefano Giusto