Search results for "Sum rule in integration"

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Analytic structure ofϕ4theory using light-by-light sum rules

2013

Abstract We apply a sum rule for the forward light-by-light scattering process within the context of the ϕ 4 quantum field theory. As a consequence of the sum rule a stringent causality criterion is presented and the resulting constraints are studied within a particular resummation of graphs. Such resummation is demonstrated to be consistent with the sum rule to all orders of perturbation theory. We furthermore show the appearance of particular non-perturbative solutions within such approximation to be a necessary requirement of the sum rule. For a range of values of the coupling constant, these solutions manifest themselves as a physical bound state and a K-matrix pole. For another domain …

Causality (physics)Coupling constantPhysicsNuclear and High Energy PhysicsTheoretical physicsLinearity of differentiationQuantum mechanicsBound stateSum rule in integrationPerturbation theory (quantum mechanics)Sum rule in quantum mechanicsResummationPhysics Letters B
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QCD sum rule calculation ofK ℓ3 form factors

1992

We present a combined finite energy sum rule (FESR) and analytic continuation by duality (ACD) calculation of the (neutral)K l3 decay. We confirm the Callan-Treiman relation and investigate the validity of a linear fit for the form factors. Furthermore, we obtain ζ=−0.1...−0.3, consistent with the mean experimental value ζ=−0.1±0.09.

Discrete mathematicsQuantum chromodynamicsPhysics and Astronomy (miscellaneous)Analytic continuationSum rule in integrationForm factor (quantum field theory)Astrophysics::Cosmology and Extragalactic AstrophysicsLinearity of differentiationRule of sumSum rule in quantum mechanicsQuantum field theoryEngineering (miscellaneous)MathematicsMathematical physicsZeitschrift für Physik C Particles and Fields
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