Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf

Abstract

We study a vectorial gauge theory with gauge group SU(Nc) and a variable number, Nf, of massless fermions in the fundamental representation of this group. Using approximate solutions of Schwinger-Dyson and Bethe-Salpeter equations, we calculate meson masses and investigate how these depend on Nf. We focus on the range of Nf extending from near the boundary with a non-Abelian Coulomb phase, where the theory exhibits a slowly running ("walking") gauge coupling, toward smaller values where the theory has non-walking behavior. Our results include determinations of the masses of the lowest-lying flavor-adjoint mesons with J^{PC} = 0^{-+}, 1^{--}, 0^{++}, and 1^{++} (the generalized π, ρ, a0, and a1). Related results are given for flavor-singlet mesons and for the generalization of f_π. These results give insight into the change from walking to non-walking behavior in a gauge theory, as a function of Nf .

arXiv comment11 pages, 7 figures

References in corpus (11)

• Conformal Phase Transition in Gauge Theories
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Putative Light Scalar Nonet
• The Phase Structure of an SU(N) Gauge Theory with N_f Flavors
• Phase structure of lattice QCD for general number of flavors
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• pi^+ - pi^0 mass difference and S parameter in the large N_f QCD
• Instantons and the Chiral Phase Transition
• pi^+ - pi^0 mass difference from the Bethe-Salpeter equation
• Review of Unquenched Results
• Solving the Homogeneous Bethe-Salpeter Equation

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