Dynamics of revolving D-branes at short distances

Abstract We study the behavior of the effective potential between revolving Dp-branes at all ranges of the distance r, interpolating r » ls and r « l s (l s is the string length). Since the one-loop open string amplitude cannot be calculated exactly, we instead employ an efficient method of partial...

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Main Authors: Satoshi Iso, Noriaki Kitazawa, Hikaru Ohta, Takao Suyama
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)182
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author Satoshi Iso
Noriaki Kitazawa
Hikaru Ohta
Takao Suyama
author_facet Satoshi Iso
Noriaki Kitazawa
Hikaru Ohta
Takao Suyama
author_sort Satoshi Iso
collection DOAJ
description Abstract We study the behavior of the effective potential between revolving Dp-branes at all ranges of the distance r, interpolating r » ls and r « l s (l s is the string length). Since the one-loop open string amplitude cannot be calculated exactly, we instead employ an efficient method of partial modular transformation. The method is to perform the modular transformation partially in the moduli parameter and rewrite the amplitude into a sum of contributions from both of the open and closed string massless modes. It is nevertheless free from the double counting and can approximate the open string amplitudes with less than 3% accuracy. From the D-brane effective field theory point of view, this amounts to calculating the one-loop threshold corrections of infinitely many open string massive modes. We show that threshold corrections to the ω 2 r 2 term of the moduli field r cancel among them, where ω is the angular frequency of the revolution and sets the scale of supersymmetry breaking. This cancellation suggests a possibility to solve the hierarchy problem of the Higgs mass in high scale supersymmetry breaking models.
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spelling doaj.art-a435a08e20824f1e847cc7c198aaf1652022-12-21T22:21:11ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113710.1007/JHEP01(2020)182Dynamics of revolving D-branes at short distancesSatoshi Iso0Noriaki Kitazawa1Hikaru Ohta2Takao Suyama3Theory Center, High Energy Accelerator Research Organization (KEK)Department of Physics, Tokyo Metropolitan UniversityTheory Center, High Energy Accelerator Research Organization (KEK)Theory Center, High Energy Accelerator Research Organization (KEK)Abstract We study the behavior of the effective potential between revolving Dp-branes at all ranges of the distance r, interpolating r » ls and r « l s (l s is the string length). Since the one-loop open string amplitude cannot be calculated exactly, we instead employ an efficient method of partial modular transformation. The method is to perform the modular transformation partially in the moduli parameter and rewrite the amplitude into a sum of contributions from both of the open and closed string massless modes. It is nevertheless free from the double counting and can approximate the open string amplitudes with less than 3% accuracy. From the D-brane effective field theory point of view, this amounts to calculating the one-loop threshold corrections of infinitely many open string massive modes. We show that threshold corrections to the ω 2 r 2 term of the moduli field r cancel among them, where ω is the angular frequency of the revolution and sets the scale of supersymmetry breaking. This cancellation suggests a possibility to solve the hierarchy problem of the Higgs mass in high scale supersymmetry breaking models.https://doi.org/10.1007/JHEP01(2020)182D-branesp-branes
spellingShingle Satoshi Iso
Noriaki Kitazawa
Hikaru Ohta
Takao Suyama
Dynamics of revolving D-branes at short distances
Journal of High Energy Physics
D-branes
p-branes
title Dynamics of revolving D-branes at short distances
title_full Dynamics of revolving D-branes at short distances
title_fullStr Dynamics of revolving D-branes at short distances
title_full_unstemmed Dynamics of revolving D-branes at short distances
title_short Dynamics of revolving D-branes at short distances
title_sort dynamics of revolving d branes at short distances
topic D-branes
p-branes
url https://doi.org/10.1007/JHEP01(2020)182
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AT noriakikitazawa dynamicsofrevolvingdbranesatshortdistances
AT hikaruohta dynamicsofrevolvingdbranesatshortdistances
AT takaosuyama dynamicsofrevolvingdbranesatshortdistances