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On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime

Based on a four point function, the S-matrix elements at disk level of the scattering amplitude of one closed string Ramond-Ramond field ($C$) and two tachyons and one scalar field, we find out new couplings in brane anti brane effective actions for $p=n,p+2=n$ cases. Using the infinite corrections...

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Autor principal: Hatefi, Ehsan
Lenguaje:eng
Publicado: 2012
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2013/09/011
http://cds.cern.ch/record/1495923
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author Hatefi, Ehsan
author_facet Hatefi, Ehsan
author_sort Hatefi, Ehsan
collection CERN
description Based on a four point function, the S-matrix elements at disk level of the scattering amplitude of one closed string Ramond-Ramond field ($C$) and two tachyons and one scalar field, we find out new couplings in brane anti brane effective actions for $p=n,p+2=n$ cases. Using the infinite corrections of the vertex of one RR, one gauge and one scalar field and applying the correct expansion, it is investigated in details how we produce the infinite gauge poles of the amplitude for $p = n$ case. By discovering new higher derivative corrections of two tachyon-two scalar couplings in brane anti brane systems to all orders in $\alpha'$, we also obtain the infinite scalar poles in $t'+s'+u$-channel in field theory. Working with the complete form of the amplitude with the closed form of the expansion and comparing all the infinite contact terms of this amplitude, we derive several new Wess-Zumino couplings with all their infinite higher derivative corrections in the world volume of brane anti brane systems. In particular, in producing all the infinite scalar poles of $<V_C V_{\phi} V_T V_T>$, one has to consider the fact that scalar 's vertex operator in $(-1)$-picture must carry the internal $\sigma_3$ Chan-Paton matrix. The symmetric trace effective action has a non-zero coupling between $D\phi^{(1)i}$ and $D\phi^{(2)}_i$ while this coupling does not exist in ordinary trace effective action.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-14959232023-10-04T09:05:44Zdoi:10.1088/1475-7516/2013/09/011http://cds.cern.ch/record/1495923engHatefi, EhsanOn D-brane anti D-brane effective actions and their corrections to all orders in alpha-primeParticle Physics - TheoryBased on a four point function, the S-matrix elements at disk level of the scattering amplitude of one closed string Ramond-Ramond field ($C$) and two tachyons and one scalar field, we find out new couplings in brane anti brane effective actions for $p=n,p+2=n$ cases. Using the infinite corrections of the vertex of one RR, one gauge and one scalar field and applying the correct expansion, it is investigated in details how we produce the infinite gauge poles of the amplitude for $p = n$ case. By discovering new higher derivative corrections of two tachyon-two scalar couplings in brane anti brane systems to all orders in $\alpha'$, we also obtain the infinite scalar poles in $t'+s'+u$-channel in field theory. Working with the complete form of the amplitude with the closed form of the expansion and comparing all the infinite contact terms of this amplitude, we derive several new Wess-Zumino couplings with all their infinite higher derivative corrections in the world volume of brane anti brane systems. In particular, in producing all the infinite scalar poles of $<V_C V_{\phi} V_T V_T>$, one has to consider the fact that scalar 's vertex operator in $(-1)$-picture must carry the internal $\sigma_3$ Chan-Paton matrix. The symmetric trace effective action has a non-zero coupling between $D\phi^{(1)i}$ and $D\phi^{(2)}_i$ while this coupling does not exist in ordinary trace effective action.Based on a four point function, the S-matrix elements atdisk level of the scattering amplitude of one closed stringRamond-Ramond field (C) and two tachyons and one scalar field, wefind out new couplings in brane anti brane effective actions forp = n, p+2 = n cases. Using the infinite corrections of the vertex ofone RR, one gauge and one scalar field and applying the correctexpansion, it is investigated in detail how we produce the infinitegauge poles of the amplitude for p = n case. By discovering newhigher derivative corrections of two tachyon-two scalar couplings inbrane anti brane systems to all orders in α', we also obtainthe infinite scalar poles in (t'+s'+u)-channel in fieldtheory. Working with the complete form of the amplitude with theclosed form of the expansion and comparing all the infinite contactterms of this amplitude, we derive several new Wess-Zumino couplingswith all their infinite higher derivative corrections in the worldvolume of brane anti brane systems. In particular, in producing allthe infinite scalar poles of < VCVVTVT > , one has toconsider the fact that scalar's vertex operator in (-1)-picturemust carry the internal σ3 Chan-Paton matrix. The symmetrictrace effective action has a non-zero coupling betweenD(1)i and D(2)i while this coupling does notexist in ordinary trace effective action.Based on a four point function, the S-matrix elements at disk level of the scattering amplitude of one closed string Ramond-Ramond field ($C$), two tachyons and one scalar field, we find out new couplings in brane anti brane effective actions for $p=n,p+2=n$ cases. Using the infinite corrections of the vertex of one RR, one gauge and one scalar field and applying the correct expansion, it is investigated in detail how we produce the infinite gauge poles of the amplitude for $p = n$ case. By discovering new higher derivative corrections of two tachyon-two scalar couplings in brane anti brane systems to all orders in $\alpha'$, we also obtain the infinite scalar poles in $t'+s'+u$-channel in field theory. Working with the complete form of the amplitude with the closed form of the expansion and comparing all the infinite contact terms of this amplitude, we derive several new Wess-Zumino couplings with all their infinite higher derivative corrections in the world volume of brane anti brane systems. In particular, in producing all the infinite scalar poles of $<V_C V_{\phi} V_T V_T>$, one has to consider the fact that scalar 's vertex operator in $(-1)$-picture must carry the internal $\sigma_3$ Chan-Paton matrix. The symmetric trace effective action has a non-zero coupling between $D\phi^{(1)i}$ and $D\phi^{(2)}_i$ while this coupling does not exist in ordinary trace effective action.arXiv:1211.5538CERN-PH-TH-2012-341CERN-PH-TH-2012-341oai:cds.cern.ch:14959232012-11-26
spellingShingle Particle Physics - Theory
Hatefi, Ehsan
On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
title On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
title_full On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
title_fullStr On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
title_full_unstemmed On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
title_short On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
title_sort on d-brane anti d-brane effective actions and their corrections to all orders in alpha-prime
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1475-7516/2013/09/011
http://cds.cern.ch/record/1495923
work_keys_str_mv AT hatefiehsan ondbraneantidbraneeffectiveactionsandtheircorrectionstoallordersinalphaprime