Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions

Abstract

The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation functions decay algebraically. I perform a finite-size scaling study on simulation data at two values of the bare gauge coupling with this assumption and observe a common exponent for the scaling of the correlation length with the fermion mass, y_m ~ 1.5. An analysis of the scaling of valence Dirac eigenvalues at one of these bare couplings produces a similar number.

23 pages, revtex, 13 figures

References in corpus (20)

• Equation of state and QCD transition at finite temperature
• Conformality Lost
• Comments on Unparticles
• Chiral phase boundary of QCD at finite temperature
• Supersymmetry Inspired QCD Beta Function
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Conformal vs confining scenario in SU(2) with adjoint fermions
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
• Comments on lattice gauge theories with infrared-attractive fixed points
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Strong Conformal Dynamics at the LHC and on the Lattice
• Chiral properties of SU(3) sextet fermions
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Topology and higher dimensional representations
• Simulating an arbitrary number of flavors of dynamical overlap fermions

Cited by in corpus (60)

• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• The infrared dynamics of Minimal Walking Technicolor
• Lattice tests of beyond Standard Model dynamics
• Mass anomalous dimension in SU(2) with two adjoint fermions
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Novel phase in SU(3) lattice gauge theory with 12 light fermions
• Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Mesonic spectroscopy of Minimal Walking Technicolor
• Lattice study of conformality in twelve-flavor QCD
• Walking signals in Nf=8 QCD on the lattice
• Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
• Scaling relations for the entire spectrum in mass-deformed conformal gauge theories
• 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
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• Thermodynamics of lattice QCD with 2 flavours of colour-sextet quarks: A model of walking/conformal Technicolor
• Lectures on walking technicolor, holography and gauge/gravity dualities
• Poisson to Random Matrix Transition in the QCD Dirac Spectrum
• Strong dynamics, composite Higgs and the conformal window
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
• Large volumes and spectroscopy of walking theories
• Mass anomalous dimension in sextet QCD
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours
• Effect of Light Fermions on the Confinement Transition in QCD-like Theories
• Finite size scaling in minimal walking technicolor
• Thermodynamics of lattice QCD with 2 sextet quarks on N_t=8 lattices
• Flavor Dependence of the S-parameter
• Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Delineating the conformal window
• Meson spectra of asymptotically free gauge theories from holography
• Phases of Gauge Theories
• GMOR-like relation in IR-conformal gauge theories
• Anomalous dimensions on the lattice
• Running coupling constant and mass anomalous dimension of six-flavor SU(2) gauge theory
• Lattice studies of QCD-like theories with many fermionic degrees of freedom
• Condensate Enhancement and D-Meson Mixing in Technicolor Theories
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks
• Strongly Interacting Dynamics beyond the Standard Model on a Spacetime Lattice
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• Phase Diagrams of Strongly Interacting Theories
• Technicolor and Beyond: Unification in Theory Space
• Chiral symmetry breaking in nearly conformal gauge theories
• The chiral phase transition for lattice QCD with 2 colour-sextet quarks
• Conformal phase transition in QCD like theories and beyond
• W' and Z' limits for Minimal Walking Technicolor
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks II: N_t=6 and N_t=8
• Large-volume results in SU(2) with adjoint fermions
• Spectrum of orientifold QCD in the strong coupling and hopping expansion approximation
• QCD with colour-sextet quarks
• Finite isospin density probe for conformality
• Conformal or confining -- results from lattice gauge theory for higher-representation gauge theories
• Lattice Gauge Theory and (Quasi)-Conformal Technicolor
• Strings of diquark-quark (QQ)Q baryon before phase transition
• Mass anomalous dimension of SU(2) with Nf=8 using the spectral density method
• Further studies of QCD with sextet quarks
• Soft pion scattering in infrared-conformal gauge-fermion theories
• Models of Walking Technicolor on the Lattice