Two-point functions and bootstrap applications in quantum field theories
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Open Access
- 23 February 2022
- journal article
- research article
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2022 (2) , 1-60
Abstract
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.Keywords
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