Rolling tachyon solution in vacuum string field theory
- Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)
We construct a time-dependent solution in vacuum string field theory and investigate whether the solution can be regarded as a rolling tachyon solution. First, compactifying one space direction on a circle of radius R, we construct a space-dependent solution given as an infinite number of * products of a string field with center-of-mass momentum dependence of the form e{sup -bp{sup 2}}{sup /4}. Our time-dependent solution is obtained by an inverse-Wick rotation of the compactified space direction. We focus on one particular component field of the solution, which takes the form of the partition function of a Coulomb system on a circle with temperature R{sup 2}. Analyzing this component field both analytically and numerically using Monte Carlo simulation, we find that the parameter b in the solution must be set equal to zero for the solution to approach a finite value in the large time limit x{sup 0}{yields}{infinity}. We also explore the possibility that the self-dual radius R={radical}({alpha}{sup '}) is a phase transition point of our Coulomb system.
- OSTI ID:
- 20705545
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 8; Other Information: DOI: 10.1103/PhysRevD.70.086010; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CENTER-OF-MASS SYSTEM
COMPACTIFICATION
COMPUTERIZED SIMULATION
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
MONTE CARLO METHOD
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
ROTATION
SPACE DEPENDENCE
STRING MODELS
TACHYONS
TIME DEPENDENCE
UNIFIED-FIELD THEORIES