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Boundary and midpoint behaviors of lump solutions in vacuum string field theory

Hata, Hiroyuki and Moriyama, Sanefumi (2005) Boundary and midpoint behaviors of lump solutions in vacuum string field theory. Physical Review D, 72 (4). Art. No. 046004. ISSN 2470-0010. doi:10.1103/PhysRevD.72.046004.

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We discuss various issues concerning the behaviors near the boundary (sigma=0,pi) and the midpoint (sigma=pi/2) of the open string coordinate X(sigma) and its conjugate momentum P(sigma)=-i delta/delta X(sigma) acting on the matter projectors of vacuum string field theory. Our original interest is in the dynamical change of the boundary conditions of the open string coordinate from the Neumann one in the translationally invariant backgrounds to the Dirichlet one in the D-brane backgrounds. We find that the Dirichlet boundary condition is realized on a lump solution only partially and only when its parameter takes a special value. On the other hand, the string midpoint has a mysterious property: it obeys the Neumann (Dirichlet) condition in the translationally invariant (lump) background.

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Additional Information:© 2005 The American Physical Society. Received 24 May 2005; published 16 August 2005. We would like to thank H. Ooguri and S. Teraguchi for valuable discussions and comments. S. M. is also grateful to theoretical particle physics group of Department of Physics, Kyoto University for hospitality. The work of H. H. was supported in part by the Grant-in-Aid for Scientific Research, Contract No. 15540268 from Japan Society for the Promotion of Science (JSPS). The work of S. M. was supported in part by the DOE Grant No. DE-FG03-92-ER40701.
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)15540268
Department of Energy (DOE)DE-FG03-92-ER40701
Subject Keywords:string theory; vacuum (elementary particles); membrane theory
Issue or Number:4
Record Number:CaltechAUTHORS:HATprd05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3407
Deposited By: Tony Diaz
Deposited On:06 Jun 2006
Last Modified:08 Nov 2021 19:55

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