We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a Z(2) symmetry and a single Z2-odd stable particle and no Z(2)-even particles at low energies. Using unitarity, crossing and the assumption of maximal analyticity we compute numerically a lower bound on the value of the a-anomaly of the UV CFT as a function of various non-perturbative parameters describing the two-to-two scattering amplitude of the particle.
Bootstrapping the a-anomaly in 4d QFTs / Karateev, Denis; Marucha, Jan; Penedones, João; Sahoo, Biswajit. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2022:12(2022), pp. 1-61. [10.1007/jhep12(2022)136]
Bootstrapping the a-anomaly in 4d QFTs
Karateev, Denis;
2022-01-01
Abstract
We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a Z(2) symmetry and a single Z2-odd stable particle and no Z(2)-even particles at low energies. Using unitarity, crossing and the assumption of maximal analyticity we compute numerically a lower bound on the value of the a-anomaly of the UV CFT as a function of various non-perturbative parameters describing the two-to-two scattering amplitude of the particle.File | Dimensione | Formato | |
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