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Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory

Adi Armoni Orcid Logo, Edwin Ireson, Davide Vadacchino

Nuclear Physics B, Volume: 928, Pages: 72 - 92

Swansea University Author: Adi Armoni Orcid Logo

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DOI (Published version): 10.1016/j.nuclphysb.2018.01.002

Abstract

We consider meson scattering in the framework of the lattice strong coupling expansion. In particular we derive an expression for the 4-point function of meson operators in the planar limit of scalar Chromodynamics. Interestingly, in the naive continuum limit the expression coincides with an indepen...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa38008
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first_indexed 2018-01-11T14:31:27Z
last_indexed 2020-06-18T18:52:17Z
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spelling 2020-06-18T15:58:32.5981100 v2 38008 2018-01-11 Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2018-01-11 SPH We consider meson scattering in the framework of the lattice strong coupling expansion. In particular we derive an expression for the 4-point function of meson operators in the planar limit of scalar Chromodynamics. Interestingly, in the naive continuum limit the expression coincides with an independently known result, that of the worldline formalism. Moreover, it was argued by Makeenko and Olesen that (assuming confinement) the resulting scattering amplitude in momentum space is the celebrated expression proposed by Veneziano several decades ago. This motivates us to also use holography in order to argue that the continuum expression for the scattering amplitude is related to the result obtained from flat space string theory. Our results hint that at strong coupling and large-Nc the naive continuum limit of the lattice formalism can be related to a flat space string theory. Journal Article Nuclear Physics B 928 72 92 05503213 lattice, string theory 31 12 2018 2018-12-31 10.1016/j.nuclphysb.2018.01.002 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-06-18T15:58:32.5981100 2018-01-11T12:36:48.8175333 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Adi Armoni 0000-0002-8105-0645 1 Edwin Ireson 2 Davide Vadacchino 3 0038008-01022018162301.pdf 38008.pdf 2018-02-01T16:23:01.6970000 Output 344558 application/pdf Version of Record true 2018-02-01T00:00:00.0000000 Released under the terms of a Creative Commons Attribution 4.0 International license (CC-BY). true eng
title Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
spellingShingle Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
Adi Armoni
title_short Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
title_full Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
title_fullStr Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
title_full_unstemmed Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
title_sort Equivalence of meson scattering amplitudes in strong coupling lattice and flat space string theory
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi Armoni
author Adi Armoni
author2 Adi Armoni
Edwin Ireson
Davide Vadacchino
format Journal article
container_title Nuclear Physics B
container_volume 928
container_start_page 72
publishDate 2018
institution Swansea University
issn 05503213
doi_str_mv 10.1016/j.nuclphysb.2018.01.002
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description We consider meson scattering in the framework of the lattice strong coupling expansion. In particular we derive an expression for the 4-point function of meson operators in the planar limit of scalar Chromodynamics. Interestingly, in the naive continuum limit the expression coincides with an independently known result, that of the worldline formalism. Moreover, it was argued by Makeenko and Olesen that (assuming confinement) the resulting scattering amplitude in momentum space is the celebrated expression proposed by Veneziano several decades ago. This motivates us to also use holography in order to argue that the continuum expression for the scattering amplitude is related to the result obtained from flat space string theory. Our results hint that at strong coupling and large-Nc the naive continuum limit of the lattice formalism can be related to a flat space string theory.
published_date 2018-12-31T03:47:59Z
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score 11.036706

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