TY - JOUR
T1 - On the effective theory of long open strings
AU - Aharony, Ofer
AU - Field, Matan
N1 - European Community; Israel-U.S Binational Science Foundation; Israel Science Foundation [1468/06]; German Israel Project Cooperation [DIP H52]; Federal German Ministry for Education and Research; Minerva foundationWe would like to thank N. Klinghoffer, Z. Komargodski and A. Schwimmer for many interesting discussions and for collaborations on related topics, and to thank B. Bringoltz, J. Sonnenschein, M. Teper and V. Vyas for useful discussions. OA would like to thank ECT*, Trento for hospitality during the conclusion of this work, and the participants in the "Confining flux tubes and strings" workshop there for useful discussions; this was supported in part by the European Community - Research Infrastructure Action under the FP7 "Capacities" Specific Programme, project "HadronPhysics2". This work was supported in part by the Israel-U.S. Binational Science Foundation, by a research center supported by the Israel Science Foundation (grant number 1468/06), by a grant (DIP H52) of the German Israel Project Cooperation, and by the Minerva foundation with funding from the Federal German Ministry for Education and Research.
PY - 2011
Y1 - 2011
N2 - We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy levels generically occurs at order 1/R4 (including a correction to the ground state energy), as opposed to 1/R5 for excited closed strings in four dimensions, and 1/R7 for closed strings in three dimensions. This is true both for Dirichlet and for Neumann boundary conditions for the transverse directions, though the worldsheet boundary actions are different. The Dirichlet case is relevant (for instance) for the force between external quarks in a confining gauge theory, and the Neumann case for a string stretched between domain walls. In the specific case of confining gauge theories with a weakly curved holographic dual, we compute the coefficient of the leading correction when the open string ends on two D-branes, and find a non-vanishing result.
AB - We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy levels generically occurs at order 1/R4 (including a correction to the ground state energy), as opposed to 1/R5 for excited closed strings in four dimensions, and 1/R7 for closed strings in three dimensions. This is true both for Dirichlet and for Neumann boundary conditions for the transverse directions, though the worldsheet boundary actions are different. The Dirichlet case is relevant (for instance) for the force between external quarks in a confining gauge theory, and the Neumann case for a string stretched between domain walls. In the specific case of confining gauge theories with a weakly curved holographic dual, we compute the coefficient of the leading correction when the open string ends on two D-branes, and find a non-vanishing result.
KW - Confinement
KW - Gauge-gravity correspondence
KW - Long strings
KW - Space-time symmetries
UR - http://www.scopus.com/inward/record.url?scp=80053127336&partnerID=8YFLogxK
U2 - https://doi.org/10.1007/JHEP01(2011)065
DO - https://doi.org/10.1007/JHEP01(2011)065
M3 - مقالة
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 65
ER -