Nearly conformal gauge theories in finite volume

Abstract

We report new results on nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group as the number of fermion flavors is varied in the Nf = 4-16 range. To unambiguously identify the chirally broken phase below the conformal window we apply a comprehensive lattice tool set in finite volumes which includes the test of Goldstone pion dynamics, the spectrum of the fermion Dirac operator, and eigenvalue distributions of random matrix theory. We also discuss the theory inside the conformal window and present our first results on the running of the renormalized gauge coupling and the renormalization group beta function. The importance of understanding finite volume zero momentum gauge field dynamics inside the conformal window is illustrated. Staggered lattice fermions are used throughout the calculations.

9 pages and 7 figures

References in corpus (10)

• Unparticle Physics
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• The physics of eight flavours
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Comments on lattice gauge theories with infrared-attractive fixed points
• Higher representations on the lattice: perturbative studies
• Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
• Topology and higher dimensional representations
• Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions

Cited by in corpus (35)

• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• The infrared dynamics of Minimal Walking Technicolor
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Order parameters and color-flavor center symmetry in QCD
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Parity Doubling and the S Parameter Below the Conformal Window
• Strong dynamics, composite Higgs and the conformal window
• Holographic Modelling of a Light Techni-Dilaton
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours
• Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 Kähler-Dirac fermions
• Flavor Dependence of the S-parameter
• Meson spectra of asymptotically free gauge theories from holography
• Hidden Conformal Symmetry from the Lattice
• Patterns of Dynamical Gauge Symmetry Breaking
• Critical Number of Flavours in QED
• Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• One,Two,Zero: Scales of Strong Interactions
• QCD-like technicolor on the lattice
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• Confining force and running coupling with twelve fundamental and two sextet fermions
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• Phase Diagrams of Strongly Interacting Theories
• Extreme Technicolor & The Walking Critical Temperature
• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Compact space and infrared behavior of the effective QCD
• More on the flavor dependence of $m_{\varrho }/f_{\pi }$
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• Deconfinement to confinement by generalizing BRST symmetry on the sphere