Geodesic
Rolling Tachyon on Non-BPS Branes and $p$-Adic Strings
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 47-54

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The results of the study of rolling solutions to equations of motion for a tachyon field living on an unstable D-brane in a level-truncated string field theory are presented. These solutions interpolate between different vacua of the theory in infinite time. 
@article{TM_2004_245_a4,
     author = {I. Ya. Aref'eva},
     title = {Rolling {Tachyon} on {Non-BPS} {Branes} and $p${-Adic} {Strings}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {47--54},
     publisher = {mathdoc},
     volume = {245},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_245_a4/}
}
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I. Ya. Aref'eva. Rolling Tachyon on Non-BPS Branes and $p$-Adic Strings. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 47-54. http://geodesic.mathdoc.fr/item/TM_2004_245_a4/