Sigma model approach to string theory effective actions with tachyons
By A. Tseytlin. 2000
141 citations recorded by the source corpus.
Motivated by recent discussions of actions for tachyon and vector fields related to tachyon condensation in open string theory we review and clarify some aspects of their derivation within the sigma model approach. In particular, we demonstrate that the renormalized partition function Z(T,A) of the boundary sigma model gives the effective action for massless vectors which is consistent with the string S-matrix and beta function, resolving an old problem with this suggestion in the bosonic string case at the level of the leading F2(dF)2 derivative corrections to Born–Infeld action. We give a manifestly gauge invariant definition of Z(T,A) in non-Abelian NSR open string theory and check that its derivative reproduces the tachyon beta function in a particular scheme. We also discuss the derivation of similar actions for tachyon and massless modes in closed bosonic and NSR (type 0) string theories. In the bosonic case the tachyon potential has the structure −T2e−T, but it vanishes in the NSR string case.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/259485b97e1d1c8a676a1e7943711c7be665bfb9
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Citations in the corpus
- Brane-antibrane action from boundary string field theory (2000, background): “If we put the profile of the tachyon field to the special form which makes the world-sheet sigma model action become free, then the massive modes on branes are not excited due to the renormalization of the world-sheet theory [13, 14].”
- Komaba Lectures on Noncommutative Solitons and D-Branes (2001, unknown): “See [11,12,13,14,15,16,17,18,19,20,21] for treatments using this approach.”
- Nonassociative Star Product Deformations for D-Brane World-Volumes in Curved Backgrounds (2001, methodology): “Following the methods of [58, 59, 60 ], this contribution to the beta function implies that”
- A Review on Tachyon Condensation in Open String Field Theories (2001, unknown): “From this fact, it has been proposed in [89, 78] that the off-shell spacetime action, if properly defined, should also be equal (up to normalization) to the disk partition function itself, namely, S(t) = K Z(t), (5.”
- Liouville Field Theory — A decade after the revolution (2004, unknown): “The claim [49] is as follows.”
- String Field Theory Around the Tachyon Vacuum (2000, background): “More recently, work in boundary string field theory (B-SFT) [42, 43, 44, 45, 46, 47 ], − a version of string field theory incorporating a certain degree of background independence, − confirmed the form of the tachyon potentials proposed in [37, 38] and established conclusively the energetics aspect”
- What is geometry in quantum theory (2004, unknown): “[29-38].”
- Caustics in Tachyon Matter and Other Born-Infeld Scalars (2002, background): “Another aspect that should be included in a comprehensive analysis of the tachyon is its interaction with the dilaton field, gauge fields and others [1].”
- AdS bubbles, entropy and closed string tachyons (2006, methodology): “14) If we consider the particular case f(T ) = 1, this is exactly the same as the one [69] considered by Yang and Zwiebach (see also [70][71]).”
- Tachyon effective actins in open string theory (2003, methodology): “In the σ-model approach to string theory (see, for example, [30,31]), one thinks of the configuration space of the theory as the space of (in general non-conformal) worldsheet theories, with conformal theories corresponding to solutions of the spacetime equations of motion.”