Local Commutativity and Causality in Interacting PP-wave String Field Theory
arXiv:hep-th/0407046 · doi:10.1088/1126-6708/2004/09/049
Abstract
In this paper, we extend our previous study of causality and local commutativity of string fields in the pp-wave lightcone string field theory to include interaction. Contrary to the flat space case result of Lowe, Polchinski, Susskind, Thorlacius and Uglum, we found that the pp-wave interaction does not affect the local commutativity condition. Our results show that the pp-wave lightcone string field theory is not continuously connected with the flat space one. We also discuss the relation between the condition of local commutativity and causality. While the two notions are closely related in a point particle theory, their relation is less clear in string theory. We suggest that string local commutativity may be relevant for an operational defintion of causality using strings as probes.
Latex, JHEP3.cls, 18 pages, no figures. v2: add comments about the UV-IR mixing effect displayed in our result. version to appear in JHEP
References in corpus (35)
- M Theory As A Matrix Model: A Conjecture
- Strings in flat space and pp waves from Super Yang Mills
- Noncommutative Perturbative Dynamics
- A Large-N Reduced Model as Superstring
- Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
- Exactly solvable model of superstring in Ramond-Ramond plane wave background
- PP-wave string interactions from perturbative Yang-Mills theory
- Black Hole Complementarity vs. Locality
- Comments on Noncommutative Perturbative Dynamics
- Superstring Interactions in a pp-wave Background
- Negative Energy, Superluminosity and Holography
- Superstring Interactions in a pp-wave Background II
- More comments on superstring interactions in the pp-wave background
- Three-point functions in N=4 Yang-Mills theory and pp-waves
- PP-Wave Light-Cone Superstring Field Theory
- Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
- The 3-string vertex and the AdS/CFT duality in the PP-wave limit
- Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background
- The Light Cone in String Theory
- Information Spreading in Interacting String Field Theory
- SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
- Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
- SYM Description of SFT Hamiltonian in a PP-Wave Background
- The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
- Causal Properties of Free String Field Theory
- On the propagator of a scalar field in AdS x S and in its plane wave limit
- Locality, Causality, and an Initial Value Formulation for Open String Field Theory
- BMN operators with vector impurities, Z_2 symmetry and pp-waves
- Scalar propagator in the pp-wave geometry obtained from AdS_5 X S^5
- New tests of the pp-wave correspondence
- N=2 Sigma Models for Ramond-Ramond Backgrounds
- A note on string interaction on the pp-wave background
- The String Light Cone in the pp-wave Background
- Causality in Covariant String Field Theory
- Propagators and WKB-exactness in the plane wave limit of AdSxS