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The Phase Structure of an SU(N) Gauge Theory with N_f Flavors

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arxiv hep-ph/9806472 v2 pith:PRCS4ACU submitted 1998-06-24 hep-ph hep-th

classification hep-phhep-th
keywords transitionphasecriticalfixedflavorsgaugegovernedpoint
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the chiral phase transition in SU(N) gauge theories as the number of quark flavors, $N_f$, is varied. We argue that the transition takes place at a large enough value of $N_f$ so that it is governed by the infrared fixed point of the $\beta$ function. We study the nature of the phase transition analytically and numerically, and discuss the spectrum of the theory as the critical value of $N_f$ is approached in both the symmetric and broken phases. Since the transition is governed by a conformal fixed point, there are no light excitations on the symmetric side. We extend previous work to include higher order effects by developing a renormalization group estimate of the critical coupling.

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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. Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space

    hep-ph 2022-06 unverdicted novelty 5.0 of 10

    A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.

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