6533b873fe1ef96bd12d4bee
RESEARCH PRODUCT
Analytic structure ofϕ4theory using light-by-light sum rules
Marc VanderhaeghenVladyslav PaukVladyslav PaukVladimir Pascalutsasubject
Causality (physics)Coupling constantPhysicsNuclear and High Energy PhysicsTheoretical physicsLinearity of differentiationQuantum mechanicsBound stateSum rule in integrationPerturbation theory (quantum mechanics)Sum rule in quantum mechanicsResummationdescription
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 however, they appear as tachyon solutions, showing the inconsistency of the approximation in this region.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-10-01 | Physics Letters B |