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Conical Twist Fields and Null Polygonal Wilson Loops
- Source :
- Nuclear Physics, Nuclear Physics B, Vol 931, Iss C, Pp 146-178 (2018), Castro-Alvaredo, O A, Doyon, B & Fioravanti, D 2018, ' Conical Twist Fields and Null Polygonal Wilson Loops ', Nuclear Physics, Section B, vol. 931, pp. 146-178 . https://doi.org/10.1016/j.nuclphysb.2018.04.002
- Publication Year :
- 2017
-
Abstract
- Using an extension of the concept of twist field in QFT to space-time (external) symmetries, we study conical twist fields in two-dimensional integrable QFT. These create conical singularities of arbitrary excess angle. We show that, upon appropriate identification between the excess angle and the number of sheets, they have the same conformal dimension as branch-point twist fields commonly used to represent partition functions on Riemann surfaces, and that both fields have closely related form factors. However, we show that conical twist fields are truly different from branch-point twist fields. They generate different operator product expansions (short distance expansions) and form factor expansions (large distance expansions). In fact, we verify in free field theories, by re-summing form factors, that the conical twist fields operator product expansions are correctly reproduced. We propose that conical twist fields are the correct fields in order to understand null polygonal Wilson loops/gluon scattering amplitudes of planar maximally supersymmetric Yang-Mills theory.<br />35 pages, 16 figures. Small typos corrected in v2
- Subjects :
- Physics
High Energy Physics - Theory
Nuclear and High Energy Physics
Field (physics)
010308 nuclear & particles physics
Operator (physics)
Riemann surface
FOS: Physical sciences
Conical surface
01 natural sciences
Conformal dimension
Scattering amplitude
symbols.namesake
High Energy Physics - Theory (hep-th)
0103 physical sciences
symbols
lcsh:QC770-798
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Gravitational singularity
Twist
010306 general physics
Mathematical physics
Subjects
Details
- Language :
- English
- ISSN :
- 05503213
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics, Nuclear Physics B, Vol 931, Iss C, Pp 146-178 (2018), Castro-Alvaredo, O A, Doyon, B & Fioravanti, D 2018, ' Conical Twist Fields and Null Polygonal Wilson Loops ', Nuclear Physics, Section B, vol. 931, pp. 146-178 . https://doi.org/10.1016/j.nuclphysb.2018.04.002
- Accession number :
- edsair.doi.dedup.....a682ae5c7dbfff318d1aae88a27dc0ec