Abstract
In a previous paper [1], we analyzed the theory of massive fermions in the fundamental representation coupled to a U(N ) Chern-Simons gauge theory in three dimensions at level K. It was done in the large N , large K limits where \( \lambda =\frac{N}{K} \) was kept fixed. Among other results, we showed there that there are no high mass “quark anti-quark” bound states. Here we show that there are no bound states at all.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Y. Frishman and J. Sonnenschein, Breaking conformal invariance — Large-N Chern-Simons theory coupled to massive fundamental fermions, JHEP 12 (2013) 091 [arXiv:1306.6465] [INSPIRE].
S. Giombi, S. Minwalla, S. Prakash, S.P. Trivedi, S.R. Wadia et al., Chern-Simons Theory with Vector Fermion Matter, Eur. Phys. J. C 72 (2012) 2112 [arXiv:1110.4386] [INSPIRE].
O. Aharony, S. Giombi, G. Gur-Ari, J. Maldacena and R. Yacoby, The Thermal Free Energy in Large-N Chern-Simons-Matter Theories, JHEP 03 (2013) 121 [arXiv:1211.4843] [INSPIRE].
O. Aharony, G. Gur-Ari and R. Yacoby, Correlation Functions of Large-N Chern-Simons-Matter Theories and Bosonization in Three Dimensions, JHEP 12 (2012) 028 [arXiv:1207.4593] [INSPIRE].
O. Aharony, G. Gur-Ari and R. Yacoby, D = 3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories, JHEP 03 (2012) 037 [arXiv:1110.4382] [INSPIRE].
G. Gur-Ari and R. Yacoby, Correlators of Large-N Fermionic Chern-Simons Vector Models, JHEP 02 (2013) 150 [arXiv:1211.1866] [INSPIRE].
J. Maldacena and A. Zhiboedov, Constraining conformal field theories with a slightly broken higher spin symmetry, Class. Quant. Grav. 30 (2013) 104003 [arXiv:1204.3882] [INSPIRE].
J. Maldacena and A. Zhiboedov, Constraining Conformal Field Theories with A Higher Spin Symmetry, J. Phys. A 46 (2013) 214011 [arXiv:1112.1016] [INSPIRE].
S. Giombi and X. Yin, On Higher Spin Gauge Theory and the Critical O(N ) Model, Phys. Rev. D 85 (2012) 086005 [arXiv:1105.4011] [INSPIRE].
S. Giombi and X. Yin, Higher Spin Gauge Theory and Holography: The Three-Point Functions, JHEP 09 (2010) 115 [arXiv:0912.3462] [INSPIRE].
T. Takimi, Duality and higher temperature phases of large-N Chern-Simons matter theories on S2 × S1, JHEP 07 (2013) 177 [arXiv:1304.3725] [INSPIRE].
S. Jain, S. Minwalla, T. Sharma, T. Takimi, S.R. Wadia et al., Phases of large-N vector Chern-Simons theories on S2 × S1, JHEP 09 (2013) 009 [arXiv:1301.6169] [INSPIRE].
S. Yokoyama, Chern-Simons-Fermion Vector Model with Chemical Potential, JHEP 01 (2013) 052 [arXiv:1210.4109] [INSPIRE].
S. Giombi and X. Yin, The Higher Spin/Vector Model Duality, J. Phys. A 46 (2013) 214003 [arXiv:1208.4036] [INSPIRE].
S. Banerjee, S. Hellerman, J. Maltz and S.H. Shenker, Light States in Chern-Simons Theory Coupled to Fundamental Matter, JHEP 03 (2013) 097 [arXiv:1207.4195] [INSPIRE].
G. ’t Hooft, A Two-Dimensional Model for Mesons, Nucl. Phys. B 75 (1974) 461 [INSPIRE].
Y. Frishman and J. Sonnenschein, Non-perturbative Field Theory, from two dimensional conformal field theory to QCD in four dimensions, Cambridge monographs on mathematical physics, Cambridge University Press, Cambridge U.K. (2010).
S. Jain, M. Mandlik, S. Minwalla, T. Takimi, S.R. Wadia et al., Unitarity, Crossing Symmetry and Duality of the S-matrix in large-N Chern-Simons theories with fundamental matter, arXiv:1404.6373 [INSPIRE].
W.A. Bardeen, The Massive Fermion Phase for the U(N ) Chern-Simons Gauge Theory in D=3 at Large N, JHEP 10 (2014) 039 [arXiv:1404.7477] [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: 1409.6083
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
Frishman, Y., Sonnenschein, J. Large N Chern-Simons with massive fundamental fermions — A model with no bound states. J. High Energ. Phys. 2014, 165 (2014). https://doi.org/10.1007/JHEP12(2014)165
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2014)165