2013/03/31 by Yang Chen, Niko Jokela, Matti Järvinen +2 · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coulomb #Gauge theory #Hilbert space #Hilbert–Poincaré series #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Moduli #Moduli space #Partition function (quantum field theory) #Phase space #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Series (stratigraphy) #Stochastic processes and statistical mechanics #Thermodynamic limit #hep-th
paper · pdf · doi:10.1007/jhep09(2013)131
published in Journal of High Energy Physics 2013(9) (Springer Nature) · 38 pages; v2: clarifications added, published version
openalex publication_date 2013/09/01 · arxiv created 2013/09/16 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the moduli space of 4d N=1 supersymmetric QCD in the Veneziano limit using Hilbert series. In this limit, the numbers of colours and flavours are taken to be large with their ratio fixed. It is shown that the Hilbert series, which is a partition function of an ensemble of gauge invariant quantities parametrising the moduli space, can also be realised as a partition function of a system of interacting Coulomb gas in two dimensions. In the electrostatic equilibrium, exact and asymptotic analyses reveal that such a system exhibits two possible phases. Physical quantities, such as charge densities, free energies, and Hilbert series, associated with each phase, are computed explicitly and discussed in detail. We then demonstrate the existence of the third order phase transition in this system.