Inverting the CFT Bootstrap
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Data
2020-09-18
Autores
Souza, Renato Gomes Ferreira
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Universidade Estadual Paulista (Unesp)
Resumo
O métodos numéricos utilizados em CFT Bootstrap são baseados nos trabalhos de Rattazzi et al., começando com um ansatz que satisfaz unitariedade podemos restringir vários aspectos de uma CFT genérica quando requeremos que a mesma obedeça crossing symmetry. Neste trabalho invertermos o processo, para começar iremos apresentar uma metodo para escrever expressões crossing simétricas e utilizando o formalismo do espaço alfa iremos extrair os coeficientes das OPEs, finalmente iremos restringir a dimensão de escala do primeiro escalar no espectro utilizando unitariedade. Ao contrário do método atual, o apresentado aqui será completamente analítico.
The current numerical CFT Bootstrap is based on the works of Rattazzi et al., starting with a unitary ansatz it is possible to bound many properties of a generic CFT by requiring that the same expression obey crossing symmetry. In this work we will invert this process, to start we are going to present a way to write crossing symmetric expressions and using the alpha space formalism we will extract the exact OPE coefficients, finally we will bound the smallest scalar in the spectrum by demanding unitarity. Unlike the current setup the method presented in the main text is purely analytic, at the moment.
The current numerical CFT Bootstrap is based on the works of Rattazzi et al., starting with a unitary ansatz it is possible to bound many properties of a generic CFT by requiring that the same expression obey crossing symmetry. In this work we will invert this process, to start we are going to present a way to write crossing symmetric expressions and using the alpha space formalism we will extract the exact OPE coefficients, finally we will bound the smallest scalar in the spectrum by demanding unitarity. Unlike the current setup the method presented in the main text is purely analytic, at the moment.
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Teoria quântica de campos, Teoria de campos (Física), Teoria quântica