Finite size scaling in minimal walking technicolor

Abstract

We compare observables to the finite size scaling hypothesis in SU(2) lattice gauge theory with two Dirac fermions in the adjoint representation. The fits that we obtain yield an estimate of the anomalous mass dimension that is consistent with four loop perturbation theory: $\gamma =0.51\pm 0.16$, with the error due to systematic uncertainties in the finite size scaling analysis. The result is somewhat larger than one Schrödinger functional study (by 1.3$\sigma$) but consistent with another.

5 pages, 4 figures

References in corpus (13)

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• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• The infrared dynamics of Minimal Walking Technicolor
• Twelve massless flavors and three colors below the conformal window
• Lattice Simulations and Infrared Conformality
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Beta Function and Anomalous Dimensions
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions
• Hot Conformal Gauge Theories
• MCRG Minimal Walking Technicolor
• Backward running or absence of running from Creutz ratios

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• Strong dynamics, composite Higgs and the conformal window
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours
• Running coupling in SU(2) gauge theory with two adjoint fermions
• Large mass hierarchies from strongly-coupled dynamics
• Physics of the Non-Abelian Coulomb Phase: Insights from Padé Approximants
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• Anomalous dimensions on the lattice
• Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
• Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories
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• Infrared conformality and bulk critical points: SU(2) with heavy adjoint quarks
• Ideal Walking Dynamics via a Gauged NJL Model
• Topology of Minimal Walking Technicolor
• The Gradient Flow Coupling in Minimal Walking Technicolor
• Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors
• A novel scheme for the wave function renormalization of the composite operators
• Walking in the 3-dimensional large $N$ scalar model
• Adjoint SU(2) with Four Fermion Interactions
• Soft pion scattering in infrared-conformal gauge-fermion theories