The running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Abstract

Non-Abelian gauge theories with fermions transforming in the adjoint representation of the gauge group (AdjQCD) are a fundamental ingredient of many models that describe the physics beyond the Standard Model. Two relevant examples are N=1 Supersymmetric Yang-Mills (SYM) theory and Minimal Walking Technicolor, which are gauge theories coupled to one adjoint Majorana and two adjoint Dirac fermions, respectively. While confinement is a property of N=1 SYM, Minimal Walking Technicolor is expected to be infrared conformal. We study the propagators of ghost and gluon fields in the Landau gauge to compute the running coupling in the MiniMom scheme. We analyze several different ensembles of lattice Monte Carlo simulations for the SU(2) adjoint QCD with Nf=1/2, 1, 3/2, and 2 Dirac fermions. We show how the running of the coupling changes as the number of interacting fermions is increased towards the conformal window.

arXiv comment28 pages, 12 figures

References in corpus (49)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Review of lattice results concerning low energy particle physics
• Orientifold theory dynamics and symmetry breaking
• The QCD Running Coupling
• Holomorphy, Rescaling Anomalies and Exact beta Functions in Supersymmetric Gauge Theories
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Quark flavour effects on gluon and ghost propagators
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• The strong coupling and its running to four loops in a minimal MOM scheme
• Gluon mass generation in the PT-BFM scheme
• Ghost-gluon running coupling, power corrections and the determination of ${\Lambda }_{\overline{\mathrm{MS}}}$
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• The infrared dynamics of Minimal Walking Technicolor
• Asymptotic behaviour of the gluon propagator from lattice QCD
• Alpha_s from the non-perturbatively renormalised lattice three-gluon vertex
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• Running Coupling in Non-Perturbative QCD - I. Bare Vertices and y-max Approximation
• On the reduction of hypercubic lattice artifacts
• Lattice calculation of ${\alpha }_s$ in momentum scheme
• Scaling relations for the entire spectrum in mass-deformed conformal gauge theories
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Improving the continuum limit of gradient flow step scaling
• Large volume behaviour of Yang-Mills propagators
• The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in large lattice volumes
• High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Three-loop Three-Linear Vertices and Four-Loop MOM beta functions in massless QCD
• Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
• The mass of the adjoint pion in N=1 supersymmetric Yang-Mills theory
• Running coupling in SU(2) gauge theory with two adjoint fermions
• The gluino-glue particle and finite size effects in supersymmetric Yang-Mills theory
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Influence of topology on the scale setting
• Running coupling in the conformal window of large-Nf QCD
• Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach
• A mass-dependent beta-function
• Backward running or absence of running from Creutz ratios
• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
• On the gauge boson's properties in a candidate technicolor theory
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- a simpler prescription

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