Boundary Operators in Effective String Theory
- Creators
- Hellerman, Simeon
- Swanson, Ian
Abstract
Various universal features of relativistic rotating strings depend on the organization of allowed local operators on the worldsheet. In this paper, we study the set of Neumann boundary operators in effective string theory, which are relevant for the controlled study of open relativistic strings with freely moving endpoints. Relativistic open strings are thought to encode the dynamics of confined quark-antiquark pairs in gauge theories in the planar approximation. Neumann boundary operators can be organized by their behavior under scaling of the target space coordinates X μ , and the set of allowed X-scaling exponents is bounded above by +1/2 and unbounded below. Negative contributions to X-scalings come from powers of a single invariant, or "dressing" operator, which is bilinear in the embedding coordinates. In particular, we show that all Neumann boundary operators are dressed by quarter-integer powers of this invariant, and we demonstrate how this rule arises from various ways of regulating the short-distance singularities of the effective theory.
Additional Information
© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 23, 2016. Accepted: February 8, 2017. Published: April 13, 2017. The authors are deeply grateful to J. Sonnenschein and O. Aharony for discussions that were responsible for refining the ideas presented herein and motivating the derivation of the dressing rule in section 3. The work of SH is supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan, and also supported in part by JSPS KAKENHI Grant Numbers JP22740153, JP26400242. SH and IS are grateful to the Walter Burke Institute for Theoretical Physics at Caltech for generous hospitality while this work was in progress.Attached Files
Published - 10.1007_2FJHEP04_2017_085.pdf
Submitted - 1609.01736v1.pdf
Files
| Name | Size | Download all |
|---|---|---|
|
md5:e99d45f12b6b262fcaf85936ed15c5a0
|
470.6 kB | Preview Download |
|
md5:b3e31c11ae564dd79a99df31d3e1efd2
|
336.7 kB | Preview Download |
Additional details
- Eprint ID
- 71430
- Resolver ID
- CaltechAUTHORS:20161024-194402074
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- JP22740153
- Japan Society for the Promotion of Science (JSPS)
- JP26400242
- Japan Society for the Promotion of Science (JSPS)
- Created
-
2016-10-25Created from EPrint's datestamp field
- Updated
-
2021-11-11Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2016-025