The scattering amplitude of stringy hadrons I: Strings with opposite charges on their endpoints

Abstract

In this note we describe hadrons: mesons and baryons as strings with electric charges on their endpoints. We consider here only the neutral system with opposite charges coupled to an external constant electric and magnetic fields. We derive certain classical solutions including rotating folded open strings. We write down the mode expansion and canonically quantize the system. The OPEs associated with such strings are determined. We re-derive the non-commutativity of the zero modes and the fact that the charges modify the spacetime metric. We show that the quantum worldsheet energy momentum tensor on the boundary is affected by the endpoint charges and differs from the corresponding Noether current. We determine the generalization of the Veneziano scattering amplitude for such strings in the critical dimension. Phenomenological implications are addressed and in particular we show that the external magnetic field can be tuned so that the amplitude vanishes for particular kinematic setups. We discuss the generalization of such strings to non-critical four dimensional spacetime. In particular we renormalize the divergence of the Polchinski-Strominger effective action associated with the rotating folded string.

arXiv commentv1: 42 pages, 5 figures / v2: minor corrections, references added / v3: paper was somewhat abridged to emphasize new results, version to be published in JHEP

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Cited by in corpus (6)

• On the N-pion extension of the Lovelace-Shapiro model
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• The scattering amplitude of stringy hadrons I: Strings with opposite charges on their endpoints
• On the quantization of folded strings in non-critical dimensions
• String amplitudes and mutual information in confining backgrounds: the partonic behavior
• Comments on open string with "massive" boundary term