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String worldsheet for accelerating quark

Hubeny, Veronika E.; Semenoff, Gordon W.

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Veronika E. Hubeny

Gordon W. Semenoff


We consider the AdS bulk dual to an external massive quark in SYM following an arbitrary trajectory on Minkowski background. While a purely outgoing boundary condition on the gluonic field allows one to express the corresponding string worldsheet in a closed form, the setup has curious consequences. In particular, we argue that any quark whose trajectory on flat spacetime approaches that of a light ray in the remote past (as happens e.g. in the case of uniform acceleration) must necessarily be accompanied by an anti-quark. This is puzzling from the field theory standpoint, since one would expect that a sole quark following any timelike trajectory should be allowed. We explain the resolution in terms of boundary and initial conditions. We analyze the configuration in global AdS, which naturally suggests a modification to the boundary conditions allowing for a single accelerated quark without accompanying anti-quark. We contrast this resolution with earlier proposals.


Hubeny, V. E., & Semenoff, G. W. (2015). String worldsheet for accelerating quark. Journal of High Energy Physics, 2015(10), Article 71.

Journal Article Type Article
Acceptance Date Sep 30, 2015
Online Publication Date Oct 12, 2015
Publication Date Oct 31, 2015
Deposit Date Apr 24, 2019
Publicly Available Date Apr 24, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 10
Article Number 71


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Copyright Statement
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.

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