Two-point functions and bootstrap applications in quantum field theories
Résumé
We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central charges of the UV and IR fixed points. We re-derive “c-theorems” in 2d and show the absence of their direct analogs in higher dimensions. We conclude by focusing on quantum field theories with a mass gap. We study the stress tensor two-particle form factor, derive implications of unitarity and define concrete bootstrap problems in generic dimensions.
Mots clés
- two-point function
- unitarity
- form factor
- two-particle
- central charge
- conservation law
- higher-dimensional
- spectral representation
- bootstrap
- field theory
- fixed point: infrared
- mass: gap
- operator: local
- tensor: energy-momentum
- Anomalies in Field and String Theories
- Conformal Field Theory
- Nonperturbative Effects
- Field Theories in Higher Dimensions