Rigorous Bounds on the Analytic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:math> Matrix
Andrea Guerrieri, Amit Sever
Abstract
We consider a dual $S$-matrix bootstrap approach in $d\ensuremath{\ge}3$ space-time dimensions which relies solely on the rigorously proven analyticity, crossing, and unitarity properties of the scattering amplitudes. As a proof of principle, we provide rigorous upper and lower numerical bounds on the quartic coupling for the scattering of identical scalar particles in four dimensions.
Topics & Concepts
UnitarityPhysicsScatteringQuartic functionScalar (mathematics)Coupling (piping)Matrix (chemical analysis)S-matrixUpper and lower boundsScattering amplitudeStatistical physicsMathematical physicsScattering theoryQuantum mechanicsApplied mathematicsMathematicsMatrix algebraTheoretical physicsS-matrix theoryDual (grammatical number)Interpolation (computer graphics)Quantum electrodynamicsScalar fieldBound stateBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies