6,418 research outputs found
Toward Open-Closed String Theoretical Description of Rolling Tachyon
We consider how the time-dependent decay process of an unstable D-brane
should be described in the full (quantum) open-closed string theory. It is
argued that the system, starting from the unstable D-brane configuration, will
evolve in time into the time-independent open string tachyon vacuum
configuration which we assume to be finite, with the total energy conserved. As
a concrete realization of this idea, we construct a toy model describing the
open and closed string tachyons which admits such a time-dependent solution.
The structure of our model has some resemblance to that of open-closed string
field theory.Comment: 1+10 pages, 6 figures. v2: a reference adde
Patterns in Open String Field Theory Solutions
In open string field theory the kinetic operator mixes matter and ghost
sectors, and thus the ghost structure of classical solutions is not universal.
Nevertheless, we have found from numerical analysis that certain ratios of
expectation values for states involving pure ghost excitations appear to be
universal. We give an analytic expression for these ratios and find good
evidence that they are common to all known solutions of open string field
theory, including the tachyon vacuum solution, lump solutions and string fields
representing marginal deformations. We also draw attention to a close
correspondence between the expectation values for the pure matter components in
the tachyon vacuum solution and those in the solution of a simpler equation for
a ghost number zero string field. Finally we observe that the action of L_0 on
the tachyon condensate gives a state that is approximately factorized into a
matter and a ghost part.Comment: 21 pages, LaTe
Zeeman Spectroscopy of the Star Algebra
We solve the problem of finding all eigenvalues and eigenvectors of the
Neumann matrix of the matter sector of open bosonic string field theory,
including the zero modes, and switching on a background B-field. We give the
discrete eigenvalues as roots of transcendental equations, and we give
analytical expressions for all the eigenvectors.Comment: (1, 25) pages, 2 Figure
Closed String Amplitudes from Gauge Fixed String Field Theory
Closed string diagrams are derived from cubic open string field theory using
a gauge fixed kinetic operator. The basic idea is to use a string propagator
that does not generate a boundary to the world sheet. Using this propagator and
the closed string vertex, the moduli space of closed string surfaces is
covered, so closed string scattering amplitudes should be reproduced. This
kinetic operator could be a gauge fixed form of the string field theory action
around the closed string vacuum.Comment: 10 pages, revtex, 3 figures. Discussion on the covering of moduli
expanded, version to appear in PR
Experimental String Field Theory
We develop efficient algorithms for level-truncation computations in open
bosonic string field theory. We determine the classical action in the universal
subspace to level (18,54) and apply this knowledge to numerical evaluations of
the tachyon condensate string field. We obtain two main sets of results. First,
we directly compute the solutions up to level L=18 by extremizing the
level-truncated action. Second, we obtain predictions for the solutions for L >
18 from an extrapolation to higher levels of the functional form of the tachyon
effective action. We find that the energy of the stable vacuum overshoots -1
(in units of the brane tension) at L=14, reaches a minimum E_min = -1.00063 at
L ~ 28 and approaches with spectacular accuracy the predicted answer of -1 as L
-> infinity. Our data are entirely consistent with the recent perturbative
analysis of Taylor and strongly support the idea that level-truncation is a
convergent approximation scheme. We also check systematically that our
numerical solution, which obeys the Siegel gauge condition, actually satisfies
the full gauge-invariant equations of motion. Finally we investigate the
presence of analytic patterns in the coefficients of the tachyon string field,
which we are able to reliably estimate in the L -> infinity limit.Comment: 37 pages, 6 figure
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Extended Weyl Calculus and Application to the Phase-Space Schr\"{o}dinger Equation
We show that the Schr\"{o}dinger equation in phase space proposed by
Torres-Vega and Frederick is canonical in the sense that it is a natural
consequence of the extended Weyl calculus obtained by letting the Heisenberg
group act on functions (or half-densities) defined on phase space. This allows
us, in passing, to solve rigorously the TF equation for all quadratic
Hamiltonians.Comment: To appear in J. Phys. A: Math. and genera
Stretched strings in tachyon condensation models
In this note, we consider the two derivative truncation of boundary string
field theory for unstable D9 branes in Type IIA string theory. We construct
multiples of the stable codimension 1 solitons that correspond to stacks of D8
branes. We find the fluctuation modes that correspond to open strings
stretching between the branes, and find that their masses are consistent with
the string tension. We show that these modes are localized halfway between the
branes and that their width is independent of the brane separation.Comment: 12 pages, LaTeX; v2, references adde
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