Detalhes do Documento

Descrição

Made available in DSpace on 2018-12-11T17:16:33Z (GMT). No. of bitstreams: 0 Previous issue date: 2017-11-01

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions of the crossing equations in one lower dimension. By sending the curvature radius of the background hyperbolic space to infinity we expect to recover flat-space physics. We explain that this regime corresponds to large scaling dimensions of the boundary operators, and discuss how to obtain the flat-space scattering amplitudes from the corresponding limit of the boundary correlators. We implement this strategy to obtain universal bounds on the strength of cubic couplings in 2D flat-space QFTs using 1D conformal bootstrap techniques. Our numerical results match precisely the analytic bounds obtained in our companion paper using S-matrix bootstrap techniques.

Theoretical Physics Department CERN

Institute of Physics École Polytechnique Fédérale de Lausanne

Centro de Física do Porto Departamento de Física e Astronomia Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687

Perimeter Institute for Theoretical Physics

Centre for Particle Theory Department of Mathematical Sciences Durham University, Lower Mountjoy, Stockton Road

ICTP South American Institute for Fundamental Research IFT-UNESP

ICTP South American Institute for Fundamental Research IFT-UNESP