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arxiv: 1501.03061 · v2 · submitted 2015-01-13 · ✦ hep-th · hep-lat

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Vacuum stability of asymptotically safe gauge-Yukawa theories

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classification ✦ hep-th hep-lat
keywords stabilitygauge-yukawatheoriesvacuumanalyticalasymptoticallybehaviourcertain
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We study the phase diagram and the stability of the ground state for certain four-dimensional gauge-Yukawa theories whose high-energy behaviour is controlled by an interacting fixed point. We also provide analytical and numerical results for running couplings, their crossover scales, the separatrix, and the Coleman-Weinberg effective potential. Classical and quantum stability of the vacuum is established.

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