Abstract
We investigate the tachyon profile of a time-symmetric rolling tachyon solution to open string field theory. We algebraically construct the solution of [1] at 6th order in the marginal parameter, and numerically evaluate the corresponding tachyon profile as well as the action and several correlation functions containing the equation of motion. We find that the marginal operator’s singular self-OPE is properly regularized and all quantities we examine are finite. In contrast to the widely studied time-asymmetric case, the solution depends nontrivially on the strength of the deformation parameter. For example, we find that the number and period of oscillations of the tachyon field changes as the strength of the marginal deformation is increased. We use the recent renormalization scheme of [2], which contains two free parameters. At finite deformation parameter the tachyon profile depends on these parameters, while when the deformation parameter is small, the solution becomes insensitive to them and behaves like previously studied time-asymmetric rolling tachyon solutions. We also show that convergence of perturbation series is not as straightforward as in the time-asymmetric case with regular OPE, and find evidence that it may depend on the renormalization constants.
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References
M. Kiermaier and Y. Okawa, Exact marginality in open string field theory: A general framework, JHEP 11 (2009) 041 [arXiv:0707.4472] [INSPIRE].
J.L. Karczmarek and M. Longton, Renormalization schemes for SFT solutions, JHEP 04 (2015) 007 [arXiv:1412.3466] [INSPIRE].
E. Coletti, I. Sigalov and W. Taylor, Taming the tachyon in cubic string field theory, JHEP 08 (2005) 104 [hep-th/0505031] [INSPIRE].
T. Erler, Level truncation and rolling the tachyon in the lightcone basis for open string field theory, hep-th/0409179 [INSPIRE].
M. Kiermaier, Y. Okawa, L. Rastelli and B. Zwiebach, Analytic solutions for marginal deformations in open string field theory, JHEP 01 (2008) 028 [hep-th/0701249] [INSPIRE].
M. Schnabl, Comments on marginal deformations in open string field theory, Phys. Lett. B 654 (2007) 194 [hep-th/0701248] [INSPIRE].
M. Kiermaier, Y. Okawa and P. Soler, Solutions from boundary condition changing operators in open string field theory, JHEP 03 (2011) 122 [arXiv:1009.6185] [INSPIRE].
A. Sen, Rolling tachyon, JHEP 04 (2002) 048 [hep-th/0203211] [INSPIRE].
D. Gaiotto, N. Itzhaki and L. Rastelli, Closed strings as imaginary D-branes, Nucl. Phys. B 688 (2004) 70 [hep-th/0304192] [INSPIRE].
C. Maccaferri and M. Schnabl, Large BCFT moduli in open string field theory, arXiv:1506.03723 [INSPIRE].
I. Ellwood, The closed string tadpole in open string field theory, JHEP 08 (2008) 063 [arXiv:0804.1131] [INSPIRE].
I. Ellwood, Rolling to the tachyon vacuum in string field theory, JHEP 12 (2007) 028 [arXiv:0705.0013] [INSPIRE].
E. Fuchs, M. Kroyter and R. Potting, Marginal deformations in string field theory, JHEP 09 (2007) 101 [arXiv:0704.2222] [INSPIRE].
C. Maccaferri, A simple solution for marginal deformations in open string field theory, JHEP 05 (2014) 004 [arXiv:1402.3546] [INSPIRE].
T. Erler and C. Maccaferri, String Field Theory Solution for Any Open String Background, JHEP 10 (2014) 029 [arXiv:1406.3021] [INSPIRE].
T. Hahn, CUBA: A library for multidimensional numerical integration, Comput. Phys. Commun. 168 (2005) 78 [hep-ph/0404043] [INSPIRE].
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ArXiv ePrint: 1505.00802
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Longton, M. Time-symmetric rolling tachyon profile. J. High Energ. Phys. 2015, 111 (2015). https://doi.org/10.1007/JHEP09(2015)111
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DOI: https://doi.org/10.1007/JHEP09(2015)111