Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral constraints and analytic ε(ω,k), μ^{-1}(ω,k).
Mandelstam, Determination of the pion–nucleon scat tering amplitude from dispersion relations and unitarity
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Reconnection in transrelativistic AGN coronae can energize protons to tens of PeV, producing a neutrino spectrum consistent with NGC 1068 observations without tuning the proton spectral slope.
Pedagogical review explaining how causality implies analyticity and its use in scattering amplitudes, form factors, and resonance extraction in hadronic physics.
This is a review chapter summarizing the established framework of scattering theory in particle physics.
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Analyticity and positivity of Green's functions without Lorentz
Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral constraints and analytic ε(ω,k), μ^{-1}(ω,k).
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Can magnetic reconnection power neutrino emission from AGN coronae?
Reconnection in transrelativistic AGN coronae can energize protons to tens of PeV, producing a neutrino spectrum consistent with NGC 1068 observations without tuning the proton spectral slope.
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Dispersion relations: foundations
Pedagogical review explaining how causality implies analyticity and its use in scattering amplitudes, form factors, and resonance extraction in hadronic physics.
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Scattering Theory
This is a review chapter summarizing the established framework of scattering theory in particle physics.