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Stability analysis of the chiral transition in SU(4) gauge theory with fermions in multiple representations

2017/12/05 by Daniel C. Hackett · 4 citations
Physics and Astronomy · #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Fermion #Gauge (firearms) #Gauge anomaly #Gauge group #Gauge theory #Mathematical physics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Special unitary group #Supersymmetric gauge theory #Theoretical physics #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.97.055050

published in Physical review. D/Physical review. D. 97(5) (American Physical Society) · 16 pages, 2 appendices

arxiv created 2017/12/05 · openalex publication_date 2018/03/30 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a Pisarski-Wilczek stability analysis of SU(4) gauge theory coupled simultaneously to fermions charged under the fundamental and two-index antisymmetric representations of the gauge group. We carry out the calculation to one loop in the \ensuremathε expansion, assuming that the two species of fermion undergo a simultaneous chiral transition. The results indicate that the chiral transition is first order.

Citations