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Title: On D-brane -anti D-brane effective actions and their all order bulk singularity structures

Abstract

All four point functions of brane anti brane system including their correct all order α{sup ′} corrections have been addressed. All five point functions of one closed string Ramond-Ramond (RR), two real tachyons and either one gauge field or the scalar field in both symmetric and asymmetric pictures have also been explored. The entire analysis of is carried out. Not only does it fix the vertex operator of RR in asymmetric picture and in higher point functions of string theory amplitudes but also it confirms the fact that there is no issue of picture dependence of the mixed closed RR, gauge fields, tachyons and fermion fields in all symmetric or anti symmetric ones. We compute S-matrix in the presence of a transverse scalar field, two real tachyons and that reveals two different kinds of bulk singularity structures, involving an infinite number of u-channel gauge field and (u+s{sup ′}+t{sup ′})-channel scalar bulk poles. In order to produce all those bulk singularity structures, we define various couplings at the level of the effective field theory that involve the mixing term of Chern-Simons coupling (with C-potential field) and a covariant derivative of the scalar field that comes from the pull-back of brane. Eventuallymore » we explore their all order α{sup ′} corrections in the presence of brane anti brane system where various remarks will be also pointed out.« less

Authors:
 [1];  [2]
  1. Centre for Research in String Theory, School of Physics and Astronomy,Queen Mary University of London, Mile End Road, London E1 4NS (United Kingdom)
  2. (Austria)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22572070
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 04; Other Information: PUBLISHER-ID: JCAP04(2016)055; OAI: oai:repo.scoap3.org:15389; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACTION INTEGRAL; BRANES; CORRECTIONS; GAUGE INVARIANCE; QUANTUM FIELD THEORY; S MATRIX; SCALAR FIELDS; SINGULARITY; STRING THEORY; SUPERSYMMETRY; TACHYONS; U CHANNEL

Citation Formats

Hatefi, Ehsan, and Institute for Theoretical Physics, TU Wien,Wiedner Hauptstrasse 8-10/136, A-1040 Vienna. On D-brane -anti D-brane effective actions and their all order bulk singularity structures. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/04/055.
Hatefi, Ehsan, & Institute for Theoretical Physics, TU Wien,Wiedner Hauptstrasse 8-10/136, A-1040 Vienna. On D-brane -anti D-brane effective actions and their all order bulk singularity structures. United States. doi:10.1088/1475-7516/2016/04/055.
Hatefi, Ehsan, and Institute for Theoretical Physics, TU Wien,Wiedner Hauptstrasse 8-10/136, A-1040 Vienna. 2016. "On D-brane -anti D-brane effective actions and their all order bulk singularity structures". United States. doi:10.1088/1475-7516/2016/04/055.
@article{osti_22572070,
title = {On D-brane -anti D-brane effective actions and their all order bulk singularity structures},
author = {Hatefi, Ehsan and Institute for Theoretical Physics, TU Wien,Wiedner Hauptstrasse 8-10/136, A-1040 Vienna},
abstractNote = {All four point functions of brane anti brane system including their correct all order α{sup ′} corrections have been addressed. All five point functions of one closed string Ramond-Ramond (RR), two real tachyons and either one gauge field or the scalar field in both symmetric and asymmetric pictures have also been explored. The entire analysis of is carried out. Not only does it fix the vertex operator of RR in asymmetric picture and in higher point functions of string theory amplitudes but also it confirms the fact that there is no issue of picture dependence of the mixed closed RR, gauge fields, tachyons and fermion fields in all symmetric or anti symmetric ones. We compute S-matrix in the presence of a transverse scalar field, two real tachyons and that reveals two different kinds of bulk singularity structures, involving an infinite number of u-channel gauge field and (u+s{sup ′}+t{sup ′})-channel scalar bulk poles. In order to produce all those bulk singularity structures, we define various couplings at the level of the effective field theory that involve the mixing term of Chern-Simons coupling (with C-potential field) and a covariant derivative of the scalar field that comes from the pull-back of brane. Eventually we explore their all order α{sup ′} corrections in the presence of brane anti brane system where various remarks will be also pointed out.},
doi = {10.1088/1475-7516/2016/04/055},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 04,
volume = 2016,
place = {United States},
year = 2016,
month = 4
}
  • 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 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 scalarmore » couplings in brane anti brane systems to all orders in α', 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{sub C}V{sub φ}V{sub T}V{sub T} > , one has to consider the fact that scalar's vertex operator in (-1)-picture must carry the internal σ{sub 3} Chan-Paton matrix. The symmetric trace effective action has a non-zero coupling between Dφ{sup (1)i} and Dφ{sup (2)}{sub i} while this coupling does not exist in ordinary trace effective action.« less
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  • In string-inspired effective actions, representing the low-energy bulk dynamics of brane/string theories, the higher-curvature ghost-free Gauss-Bonnet combination is obtained by local field redefinitions which leave the (perturbative) string amplitudes invariant. We show that such redefinitions lead to surface terms which induce curvature on the brane world boundary of the bulk spacetime.
  • We derive an effective theory describing the physics of a bulk brane in the context of the RS1 model. This theory goes beyond the usual low-energy effective theory in that it describes the regime where the bulk brane has a large velocity and the radion can change rapidly. We achieve this by concentrating on the region where the distance between the orbifold planes is small in comparison to the AdS length scale. Consequently our effective theory will describe the physics shortly before a bulk/boundary or boundary/boundary brane collision. We study the cosmological solutions and find that at large velocities, themore » bulk brane decouples from the matter on the boundary branes, a result which remains true for cosmological perturbations.« less