Analytic solution for tachyon condensation in open string field theory

By M. Schnabl. 2005

326 citations recorded by the source corpus.

We propose a new basis in Witten’s open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler–Ramanujan-type identity. It turns out that the solution is the Euler–Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the point of view of level truncation. By computing the energy difference between the perturbative and nonperturbative vacua, we prove analytically Sen’s first conjecture.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d8e6ee259c6ff27aad9cd3c04bf92d4d7ac99032

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Schnabl
2. Y. Okawa
3. L. Rastelli
4. Theodore Erler
5. B. Zwiebach
6. I. Ellwood
7. Michael Kiermaier
8. Ashoke Sen

In Nuclear and High Energy Physics

1. M. Schnabl
2. Y. Okawa
3. L. Rastelli
4. Theodore Erler
5. B. Zwiebach
6. I. Ellwood
7. Michael Kiermaier
8. Ashoke Sen

In Statistical and Nonlinear Physics

1. M. Schnabl
2. Y. Okawa
3. Theodore Erler
4. L. Rastelli
5. B. Zwiebach
6. I. Ellwood
7. Michael Kiermaier
8. O. Hohm

Citations in the corpus

• Analytic solutions for marginal deformations in open string field theory (2007, methodology): “We thank Martin Schnabl for informing us of his independent work on the subject of this paper.”
• A simple analytic solution for tachyon condensation (2009, methodology): “where ψn are wedge states with certain insertions (for more details, see [1, 2]).”
• Proof of vanishing cohomology at the tachyon vacuum (2006, background): “In this section, we review the exact tachyon vacuum state found in [14].”
• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory (2006, methodology): “More explicitly, the following quantities were calculated in [13]:”