Numerical solution for tachyon vacuum in the Schnabl gauge

0540707 - FZÚ 2021 RIV US eng J - Journal Article
Arroyo, E.A. - Kudrna, Matěj
Numerical solution for tachyon vacuum in the Schnabl gauge.
Journal of High Energy Physics. Roč. 2020, č. 2 (2020), s. 1-30, č. článku 065. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA MŠMT EF15_003/0000437
Grant - others:OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institutional support: RVO:68378271
Keywords : vacuum: solution * string field theory * tachyon condensation
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 5.810, year: 2020
Method of publishing: Open access

Based on the level truncation scheme, we develop a new numerical method to evaluate the tachyon vacuum solution in the Schnabl gauge up to level L = 24. We confirm the prediction that the energy associated to this numerical solution has a local minimum at level L = 12. Extrapolating the energy data of L ≤ 24 to infinite level, we observe that the energy goes towards the analytical value −1, nevertheless the precision of the extrapolation is lower than in the Siegel gauge. Furthermore, we analyze the Ellwood invariant and show that its value converges monotonically towards the expected analytical result. We also study the tachyon vacuum expectation value (vev) and some other coefficients of the solution. Finally, some consistency checks of the solution are performed, and we briefly discuss the search for other Schnabl gauge numerical solutions.

Permanent Link: http://hdl.handle.net/11104/0318326