The scattering amplitude of stringy hadrons: 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 electromagnetic field. We derive certain classical solutions including rotating folded op...

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Main Authors: Jacob Sonnenschein, Dorin Weissman, Shimon Yankielowicz
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2020)156
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author Jacob Sonnenschein
Dorin Weissman
Shimon Yankielowicz
author_facet Jacob Sonnenschein
Dorin Weissman
Shimon Yankielowicz
author_sort Jacob Sonnenschein
collection DOAJ
description 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 electromagnetic field. 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 rederive 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.
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spelling doaj.art-1278fa0a715644b08ade2ac1fa6363ec2022-12-22T01:07:22ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020714010.1007/JHEP07(2020)156The scattering amplitude of stringy hadrons: strings with opposite charges on their endpointsJacob Sonnenschein0Dorin Weissman1Shimon Yankielowicz2The Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv UniversityThe Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv UniversityThe Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv UniversityAbstract 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 electromagnetic field. 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 rederive 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.http://link.springer.com/article/10.1007/JHEP07(2020)156Bosonic StringsLong strings
spellingShingle Jacob Sonnenschein
Dorin Weissman
Shimon Yankielowicz
The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints
Journal of High Energy Physics
Bosonic Strings
Long strings
title The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints
title_full The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints
title_fullStr The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints
title_full_unstemmed The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints
title_short The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints
title_sort scattering amplitude of stringy hadrons strings with opposite charges on their endpoints
topic Bosonic Strings
Long strings
url http://link.springer.com/article/10.1007/JHEP07(2020)156
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