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Evidence for large-N phase transitions in \( \mathcal{N}={2^{*}} \) theory

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Abstract

We solve, using localization, for the large-N master field of \( \mathcal{N}={2^{*}} \) superYang-Mills theory. From that we calculate expectation values of large Wilson loops and the free energy on the four-sphere. At weak coupling, these observables only receive nonperturbative contributions. The analytic solution holds for a finite range of the ’t Hooft coupling and terminates at the point of a large-N phase transition. We find evidence that as the coupling is further increased the theory undergoes an infinite sequence of similar transitions that accumulate at infinity.

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Authors and Affiliations

  1. Institució Catalana de Recerca i Estudis Avançats (ICREA), Pg. Lluis Companys, 23, 08010, Barcelona, Spain

    Jorge G. Russo

  2. Department ECM, Institut de Ciències del Cosmos, Universitat de Barcelona, Martí Franquès, 1, 08028, Barcelona, Spain

    Jorge G. Russo

  3. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91, Stockholm, Sweden

    Konstantin Zarembo

  4. Department of Physics and Astronomy, Uppsala University, SE-751 08, Uppsala, Sweden

    Konstantin Zarembo

  5. ITEP, Moscow, Russia

    Konstantin Zarembo

Authors
  1. Jorge G. Russo
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  2. Konstantin Zarembo
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Correspondence to Konstantin Zarembo.

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ArXiv ePrint: 1302.6968

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Russo, J.G., Zarembo, K. Evidence for large-N phase transitions in \( \mathcal{N}={2^{*}} \) theory. J. High Energ. Phys. 2013, 65 (2013). https://doi.org/10.1007/JHEP04(2013)065

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  • DOI: https://doi.org/10.1007/JHEP04(2013)065

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