Scattering, absorption and emission of highly excited strings

Abstract We study tree-level scattering processes of arbitrary string states using the DDF formalism and suitable coherent vertex operators. We obtain new exact compact formulae for heavy-heavy-light-light scattering amplitudes in open or closed bosonic string theories, and derive explicit exact exp...

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Main Authors: M. Firrotta, E. Kiritsis, V. Niarchos
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)051
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author M. Firrotta
E. Kiritsis
V. Niarchos
author_facet M. Firrotta
E. Kiritsis
V. Niarchos
author_sort M. Firrotta
collection DOAJ
description Abstract We study tree-level scattering processes of arbitrary string states using the DDF formalism and suitable coherent vertex operators. We obtain new exact compact formulae for heavy-heavy-light-light scattering amplitudes in open or closed bosonic string theories, and derive explicit exact expressions for the absorption cross-sections, and corresponding emission rates, of highly excited string states using the optical theorem and time reversal symmetry. We show that these expressions are independent of the microscopic structure of the excited string states without averaging. For the absorption of massless modes in open string theory, in particular, we find a constant, frequency-independent cross-section. In contrast, the corresponding cross-section for the absorption of massless modes by excited closed strings depends linearly on the frequency, implying a non-trivial grey-body factor. In both cases, at energies below the scale set by the mass of the highly excited strings, we find emission rates with a Boltzmann factor at Hagedorn temperature.
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issn 1029-8479
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series Journal of High Energy Physics
spelling doaj-art-4b8f39db16db4ee79b34066cc934e1d82025-01-19T12:07:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115010.1007/JHEP01(2025)051Scattering, absorption and emission of highly excited stringsM. Firrotta0E. Kiritsis1V. Niarchos2Crete Center for Theoretical Physics, Institute for Theoretical and Computational Physics, Department of PhysicsCrete Center for Theoretical Physics, Institute for Theoretical and Computational Physics, Department of PhysicsCrete Center for Theoretical Physics, Institute for Theoretical and Computational Physics, Department of PhysicsAbstract We study tree-level scattering processes of arbitrary string states using the DDF formalism and suitable coherent vertex operators. We obtain new exact compact formulae for heavy-heavy-light-light scattering amplitudes in open or closed bosonic string theories, and derive explicit exact expressions for the absorption cross-sections, and corresponding emission rates, of highly excited string states using the optical theorem and time reversal symmetry. We show that these expressions are independent of the microscopic structure of the excited string states without averaging. For the absorption of massless modes in open string theory, in particular, we find a constant, frequency-independent cross-section. In contrast, the corresponding cross-section for the absorption of massless modes by excited closed strings depends linearly on the frequency, implying a non-trivial grey-body factor. In both cases, at energies below the scale set by the mass of the highly excited strings, we find emission rates with a Boltzmann factor at Hagedorn temperature.https://doi.org/10.1007/JHEP01(2025)051Bosonic StringsModels of Quantum GravityScattering Amplitudes
spellingShingle M. Firrotta
E. Kiritsis
V. Niarchos
Scattering, absorption and emission of highly excited strings
Journal of High Energy Physics
Bosonic Strings
Models of Quantum Gravity
Scattering Amplitudes
title Scattering, absorption and emission of highly excited strings
title_full Scattering, absorption and emission of highly excited strings
title_fullStr Scattering, absorption and emission of highly excited strings
title_full_unstemmed Scattering, absorption and emission of highly excited strings
title_short Scattering, absorption and emission of highly excited strings
title_sort scattering absorption and emission of highly excited strings
topic Bosonic Strings
Models of Quantum Gravity
Scattering Amplitudes
url https://doi.org/10.1007/JHEP01(2025)051
work_keys_str_mv AT mfirrotta scatteringabsorptionandemissionofhighlyexcitedstrings
AT ekiritsis scatteringabsorptionandemissionofhighlyexcitedstrings
AT vniarchos scatteringabsorptionandemissionofhighlyexcitedstrings