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Mesons in large-N QCD

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Abstract

We present the results of a systematic, first-principles study of the spectrum and decay constants of mesons for different numbers of color charges N, via lattice computations. We restrict our attention to states in the non-zero isospin sector, evaluating the masses associated with the ground-state and first excitation in the pseudoscalar, vector, scalar, and axial vector channels. Our results are based on a new set of simulations of four dimensional SU(N) Yang-Mills theories with the number of colors ranging from N = 2 to N =17;thespectraandthedecayconstantsarecomputedinthequenchedapproximation (which becomes exact in the ’t Hooft limit) using Wilson fermions. After discussing the extrapolations to the chiral and large-N limits, we present a comparison of our results to some of the numerical computations and analytical predictions available in the literature — including, in particular, those from holographic computations.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Regensburg, D-93040, Regensburg, Germany

    Gunnar Bali, Luca Castagnini & Sara Collins

  2. Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India

    Gunnar Bali

  3. SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, U.K

    Francis Bursa

  4. SUPA and The Tait Institute, School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3JZ, U.K

    Luigi Del Debbio

  5. College of Science, Swansea University, Singleton Park, Swansea, SA2 8PP, U.K

    Biagio Lucini

  6. Department of Physics and Helsinki Institute of Physics, University of Helsinki, FIN-00560, Helsinki, Finland

    Marco Panero

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  1. Gunnar Bali
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  2. Francis Bursa
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  3. Luca Castagnini
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  5. Luigi Del Debbio
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  6. Biagio Lucini
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Correspondence to Luca Castagnini.

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ArXiv ePrint: 1304.4437

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Bali, G., Bursa, F., Castagnini, L. et al. Mesons in large-N QCD. J. High Energ. Phys. 2013, 71 (2013). https://doi.org/10.1007/JHEP06(2013)071

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