Boundary One-Point Functions, Scattering, and Background Vacuum Solutions in Toda Theories
V.A. Fateev (1, 2), E. Onofri (1, 3) ((1) Laboratoire de, Physique Mathematique, Universite' Montpellier II, Pl. E.Bataillon,, Montpellier, France, (2) Landau Institute for Theoretical Physics,, ul.Kosygina 2, Moscow, Russia, (3) Dipartimento di Fisica, Universita' di

TL;DR
This paper investigates boundary affine Toda theories by calculating boundary one-point functions, proposing boundary S-matrices, and deriving exact classical vacuum solutions, advancing understanding of integrable boundary conditions.
Contribution
It introduces explicit calculations of boundary one-point functions, proposes boundary S-matrices, and derives classical vacuum solutions in affine Toda theories, providing new analytical tools.
Findings
Boundary one-point functions calculated.
Boundary S-matrices proposed.
Exact classical vacuum solutions derived.
Abstract
The parametric families of integrable boundary affine Toda theories are considered. We calculate boundary one-point functions and propose boundary S-matrices in these theories. We use boundary one-point functions and S-matrix amplitudes to derive boundary ground state energies and exact solutions describing classical vacuum configurations.
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