The O(N) S-matrix monolith

• Autor(a) principal: Córdova, Lucía
• Data de Publicação: 2020
• Outros Autores: He, Yifei, Kruczenski, Martin, Vieira, Pedro [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/JHEP04(2020)142; http://hdl.handle.net/11449/200318
• topic: Field Theories in Lower Dimensions; Integrable Field Theories; Nonperturbative Effects; Scattering Amplitudes

We consider the scattering matrices of massive quantum field theories with no bound states and a global O(N) symmetry in two spacetime dimensions. In particular we explore the space of two-to-two S-matrices of particles of mass m transforming in the vector representation as restricted by the general conditions of unitarity, crossing, analyticity and O(N) symmetry. We found a rich structure in that space by using convex maximization and in particular its convex dual minimization problem. At the boundary of the allowed space special geometric points such as vertices were found to correspond to integrable models. The dual convex minimization problem provides a novel and useful approach to the problem allowing, for example, to prove that generically the S-matrices so obtained saturate unitarity and, in some cases, that they are at vertices of the allowed space.