Change Log

Fast-track revision published on 25 June 2010

Global description:

The two major changes are the addition of Appendix D, and that we have rewritten about a quarter of Section 7. The extra appendix was just to add new information while the changes in Section 7 were due to real errors on our part. In addition there were many very small changes, words changed here and there; a few small paragraphs were added as well. These word changes were needed to correct the errors (mainly language) in Section 7. Several misprints were also corrected and a new reference to Adamo and Newman (2010) was added.

Changes in detail:

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Update Corrected right-hand side from the original ξa0(τ) = τδ.
Update Corrected right-hand side from the original 0 ∘ --------- 1 i2 v R(τ) = 1 + (viR)2 ≈ 1 + 2v + ....
Update Corrected right-hand side exponent from the original Diℐℂ = qξa(s).
Update Removed asterisks from right-hand side.
Update Corrected right-hand side by adding 4i.
Update Changed original u(BR) to uB.
Update Replaced the two original ∗ r by r.
Update Renamed subsection by adding ‘Asymptotically’.
Update Corrected first term from T (u,ζ, ¯ζ) to T(uret,ζ, ¯ζ).
Update Removed asterisks from right-hand side.
Update Corrected 𝒫i to Ξi.
Update Corrected 𝒫i to Ξi.
Update About a quarter of Section 7 has been rewitten due to errors on our part.
Update Changed this item from: “As we mentioned earlier, the complex analytic curves appear most naturally in ℋ-space. Nevertheless, we could not find any reasonable physical ℋ-space interpretation for them and had to rely on the Minkowski space interpretation.”
Update Added this last item.
Update Added Appendix on the derivation of the ℋ-space metric.