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On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory

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arxiv 1007.2619 v1 pith:U4BEJBWT submitted 2010-07-15 hep-ph hep-lathep-th

classification hep-phhep-lathep-th
keywords phasetransitionfindnatureorderpotentialtheoryyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the knowledge of full 2-point correlation functions. For SU(N) with N=3,...,12 and Sp(2) we find a first-order phase transition in agreement with general expectations. Moreover our study suggests that the phase transition in E(7) Yang-Mills theory also is of first order. We find that it is weaker than for SU(N). We show that this can be understood in terms of the eigenvalue distribution of the order parameter potential close to the phase transition.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gauge-Fermion Cartography: from confinement and chiral symmetry breaking to conformality

    hep-th 2024-12 conditional novelty 7.0 of 10

    A non-perturbative fRG calculation charts confinement and chiral symmetry breaking across flavour number and predicts the conformal window boundary at Nf = 9.60 for Nc = 3.

  2. Gravitational Waves from Confinement in $SU(N)$ Yang-Mills Theory

    hep-ph 2025-12 conditional novelty 6.0 of 10

    For pure SU(N) Yang-Mills dark sectors, confinement transitions produce gravitational waves too weak for LISA, ET, CE, DECIGO or BBO, with peak amplitude at N≈20 and a large-N decay h²Ω_peak ∝ N^{-14/3}.

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