Abstract
In this note we simplify the formulation of the Poincaré-invariant effective string theory in D dimensions by adding an intrinsic metric and embedding its dynamics into the Polyakov formalism. We use this formalism to classify operators order-by-order in the inverse physical length of the string, in a fully gauge-invariant framework. We then use this classification to analyze the universality and nonuniversality of observables, up to and including the second sub-leading order in the long string expansion.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. Polchinski and A. Strominger, Effective string theory, Phys. Rev. Lett. 67 (1991) 1681 [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
O. Aharony and Z. Komargodski, The effective theory of long strings, JHEP 05 (2013) 118 [arXiv:1302.6257] [INSPIRE].
M. Natsuume, Nonlinear σ-model for string solitons, Phys. Rev. D 48 (1993) 835 [hep-th/9206062] [INSPIRE].
M. Lüscher, K. Symanzik and P. Weisz, Anomalies of the free loop wave equation in the WKB approximation, Nucl. Phys. B 173 (1980) 365 [INSPIRE].
M. Lüscher, Symmetry breaking aspects of the roughening transition in gauge theories, Nucl. Phys. B 180 (1981) 317 [INSPIRE].
M. Lüscher and P. Weisz, String excitation energies in SU(N ) gauge theories beyond the free-string approximation, JHEP 07 (2004) 014 [hep-th/0406205] [INSPIRE].
N.D. Hari Dass and P. Matlock, Covariant calculus for effective string theories, Indian J. Phys. 88 (2014) 965 [arXiv:0709.1765] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Effective string theory revisited, JHEP 09 (2012) 044 [arXiv:1203.1054] [INSPIRE].
M. Lüscher and P. Weisz, Quark confinement and the bosonic string, JHEP 07 (2002) 049 [hep-lat/0207003] [INSPIRE].
O. Aharony and N. Klinghoffer, Corrections to Nambu-Goto energy levels from the effective string action, JHEP 12 (2010) 058 [arXiv:1008.2648] [INSPIRE].
O. Aharony, M. Field and N. Klinghoffer, The effective string spectrum in the orthogonal gauge, JHEP 04 (2012) 048 [arXiv:1111.5757] [INSPIRE].
O. Aharony and E. Karzbrun, On the effective action of confining strings, JHEP 06 (2009) 012 [arXiv:0903.1927] [INSPIRE].
O. Aharony and M. Field, On the effective theory of long open strings, JHEP 01 (2011) 065 [arXiv:1008.2636] [INSPIRE].
O. Aharony and M. Dodelson, Effective string theory and nonlinear Lorentz invariance, JHEP 02 (2012) 008 [arXiv:1111.5758] [INSPIRE].
O. Aharony, Z. Komargodski and A. Schwimmer, The effective action on the confining string, presented by O. Aharony at the Strings 2009 conference, http://strings2009.roma2.infn.it/talks/Aharony Strings09.ppt, June 2009.
M. Baker and R. Steinke, Effective string theory of vortices and Regge trajectories, Phys. Rev. D 63 (2001) 094013 [hep-ph/0006069] [INSPIRE].
M. Baker and R. Steinke, Semiclassical quantization of effective string theory and Regge trajectories, Phys. Rev. D 65 (2002) 094042 [hep-th/0201169] [INSPIRE].
M. Kruczenski, L.A. Pando Zayas, J. Sonnenschein and D. Vaman, Regge trajectories for mesons in the holographic dual of large-N c QCD, JHEP 06 (2005) 046 [hep-th/0410035] [INSPIRE].
J. Sonnenschein and D. Weissman, Rotating strings confronting PDG mesons, JHEP 08 (2014) 013 [arXiv:1402.5603] [INSPIRE].
S. Hellerman and I. Swanson, String theory of the Regge intercept, arXiv:1312.0999 [INSPIRE].
J. Polchinski, String theory. Vol. 1: an introduction to the bosonic string, Cambridge Univ. Pr., Cambridge U.K. (1998) [INSPIRE].
J.M. Drummond, Universal subleading spectrum of effective string theory, hep-th/0411017 [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Evidence from lattice data for a new particle on the worldsheet of the QCD flux tube, Phys. Rev. Lett. 111 (2013) 062006 [arXiv:1301.2325] [INSPIRE].
F. Wilczek, Diquarks as inspiration and as objects, in From fields to strings, vol. 1, M. Shifman et al. eds., World Scientific, Singapore (2005), pg. 77 [hep-ph/0409168] [INSPIRE].
Open Access
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1405.6197
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hellerman, S., Maeda, S., Maltz, J. et al. Effective string theory simplified. J. High Energ. Phys. 2014, 183 (2014). https://doi.org/10.1007/JHEP09(2014)183
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2014)183