Walking in the SU(N)

Abstract

We study the phase diagram as function of the number of colours and flavours of asymptotically free non-supersymmetric theories with matter in higher dimensional representations of arbitrary SU(N) gauge groups. Since matter in higher dimensional representations screens more than in the fundamental a general feature is that a lower number of flavours is needed to achieve a near-conformal theory. We study the spectrum of the theories near the fixed point and consider possible applications of our analysis to the dynamical breaking of the electroweak symmetry.

12 pages

References in corpus (4)

• Dark Matter from new Technicolor Theories
• Chiral phase boundary of QCD at finite temperature
• A negative S parameter from Holographic Technicolor
• Holographic Estimate of Oblique Corrections for Technicolor

Cited by in corpus (293)

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• Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions
• Review of strongly-coupled composite dark matter models and lattice simulations
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• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• Phase diagram of SU(2) with 2 flavors of dynamical adjoint quarks
• Composite dark matter from a model with composite Higgs boson
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• Nearly conformal gauge theories in finite volume
• Hyperscaling relations in mass-deformed conformal gauge theories
• Gauge theories of Partial Compositeness: Scenarios for Run-II of the LHC
• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• 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
• The infrared dynamics of Minimal Walking Technicolor
• Technicolor Walks at the LHC
• Lattice tests of beyond Standard Model dynamics
• Asymmetric Dark Matter Stars
• Technicolor Dark Matter
• Can the nearly conformal sextet gauge model hide the Higgs impostor?
• Twelve massless flavors and three colors below the conformal window
• Mass anomalous dimension in SU(2) with two adjoint fermions
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• Low-energy effective action for pions and a dilatonic meson
• Limits on Self-Interacting Dark Matter
• Conformality or confinement: (IR)relevance of topological excitations
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Dark stars: gravitational and electromagnetic observables
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• On the Phase Structure of Many-Flavor QED${}_3$
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Interfering Composite Asymmetric Dark Matter for DAMA and CoGeNT
• SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
• Fundamental Composite Electroweak Dynamics: Status at the LHC
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• Conformal Windows of SP(2N) and SO(N) Gauge Theories
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• Composite Goldstone Dark Matter: Experimental Predictions from the Lattice
• Discovering Technicolor
• 125 GeV Higgs from a not so light Technicolor Scalar
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
• Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
• Critical behavior of the (2+1)-dimensional Thirring model
• A precise determination of the psibar-psi anomalous dimension in conformal gauge theories
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• Unparticle & Higgs as Composites
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• iTIMP: isotriplet Technicolor Interacting Massive Particle as Dark Matter
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Standard Model couplings and collider signatures of a light scalar
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• Beyond Miransky Scaling
• Dark Majorana Particles from the Minimal Walking Technicolor
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Mixed dark matter from technicolor
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Composite Higgs model at a conformal fixed point
• From the LHC to Future Colliders
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Higher representations on the lattice: perturbative studies
• Thermodynamics of lattice QCD with 2 flavours of colour-sextet quarks: A model of walking/conformal Technicolor
• Improved Lattice Spectroscopy of Minimal Walking Technicolor
• Conformal Phase Transitions at Weak and Strong Coupling
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• Conformal Window 2.0: The Large $N_f$ Safe Story
• Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models
• Higher-Order Scheme-Independent Series Expansions of ${\gamma }_{\bar{\psi }\psi ,IR}$ and ${\beta }_{IR}^{\prime }$ in Conformal Field Theories
• WIMPless Dark Matter from Non-Abelian Hidden Sectors with Anomaly-Mediated Supersymmetry Breaking
• UV conformal window for asymptotic safety
• Composite Higgs and Dark Matter Model in SU(6)/SO(6)
• Strong Conformal Dynamics at the LHC and on the Lattice
• Light Dilaton at Fixed Points and Ultra Light Scale Super Yang Mills
• The Conformal Window from the Worldline Formalism
• Minimal Composite Inflation
• The Electroweak Phase Transition in Nearly Conformal Technicolor
• Dynamic AdS/QCD and the Spectrum of Walking Gauge Theories
• Chiral properties of SU(3) sextet fermions
• Holography of the Conformal Window
• Composite Inflation Setup and Glueball Inflation
• Dark Mesons at the LHC
• One loop beta functions and fixed points in Higher Derivative Sigma Models
• Unitarity in Technicolor
• Mass Deformed Exact S-parameter in Conformal Theories
• Holographic Modelling of a Light Techni-Dilaton
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Hot Conformal Gauge Theories
• Unparticles at heavy flavour scales: CP violating phenomena
• Gauge Coupling Unification via A Novel Technicolor Model
• Unnatural Origin of Fermion Masses for Technicolor
• Elementary Goldstone Higgs Boson and Dark Matter
• Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
• Constraining vectors and axial-vectors in walking technicolour by a holographic principle
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• Constraining Walking and Custodial Technicolor
• Large scale separation and resonances within LHC range from a prototype BSM model
• A scalar hint from the diboson excess?
• Models of three-dimensional fractional topological insulators
• Large scale separation and hadronic resonances from a new strongly interacting sector
• The S Parameter in QCD from Domain Wall Fermions
• Topology and higher dimensional representations
• Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme
• Chiral phase transition at finite temperature and conformal dynamics in large Nf QCD
• The Dark Side of Strongly Coupled Theories
• Infrared Fixed Points in the minimal MOM Scheme
• Baryon-Dark Matter Coincidence in Mirrored Unification
• Near the sill of the conformal window: gauge theories with fermions in two-index representations
• Large-N reduction in QCD with two adjoint Dirac fermions
• Light composite Higgs from an effective action for technicolor
• Generalised bottom-up holography and walking technicolour
• Classification of NLO operators for composite Higgs models
• Safe Pati-Salam
• A new scheme for the running coupling constant in gauge theories using Wilson loops
• Near-Conformal Dynamics at Large Charge
• Conformal House
• Quantum Critical Behaviour of Semi-Simple Gauge Theories
• Holography of a Composite Inflaton
• Nonperturbative improvement of SU(2) lattice gauge theory with adjoint or fundamental flavors
• Infrared Fixed Point Physics in $\mathrm{SO}(N_c)$ and $\mathrm{Sp}(N_c)$ Gauge Theories
• WW Scattering in Walking Technicolor
• Higher Representations Duals
• Light composite Higgs boson from the normalized Bethe-Salpeter equation
• Scalar Mesons in Holographic Walking Technicolor
• Muon Flux Limits for Majorana Dark Matter Particles
• Near-conformal dynamics in a chirally broken system
• Thermodynamics of lattice QCD with 2 sextet quarks on N_t=8 lattices
• Conformal Chiral Dynamics
• Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills
• Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
• Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice
• Flavor Dependence of the S-parameter
• QCD Dual
• The Conformal Window of deformed CFT's in the planar limit
• Charging the Conformal Window
• The spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavours
• Gauging 1-form center symmetries in simple $SU(N)$ gauge theories
• Strongly coupled theories beyond the Standard Model
• First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf and Electroweak phase transition
• Exceptional and Spinorial Conformal Windows
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• Gravitational Techniwaves
• New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories
• Physics of the Non-Abelian Coulomb Phase: Insights from Padé Approximants
• Ultraviolet Completion of a Composite Asymmetric Dark Matter Model with a Dark Photon Portal
• Safe Trinification
• Composite Higgs Dynamics on the Lattice
• Pion masses in quasiconformal gauge field theories
• Alternative Large Nc Schemes and Chiral Dynamics
• Delineating the conformal window
• Meson spectra of asymptotically free gauge theories from holography
• Phases of Gauge Theories
• The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box
• Generational Structure of Models with Dynamical Symmetry Breaking
• Higher-Order Scheme-Independent Calculations of Physical Quantities in the Conformal Phase of a Gauge Theory
• Worldline holographic Schwinger effect
• Safety versus triviality on the lattice
• Infrared Evolution and Phase Structure of a Gauge Theory Containing Different Fermion Representations
• Extra Electroweak Phase Transitions from Strong Dynamics
• The free and safe fate of symmetry non-restoration
• Metastable nonconfining states in SU(3) lattice gauge theory with sextet fermions
• A mass-dependent beta-function
• Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD
• Effective Theories of Dark Mesons with Custodial Symmetry
• Dark matter in (partially) composite Higgs models
• Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
• Charge Asymmetric Cosmic Rays as a probe of Flavor Violating Asymmetric Dark Matter
• Lattice studies of QCD-like theories with many fermionic degrees of freedom
• Light baryon masses in different large-$N_c$ limits
• Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors
• Collider Tests of (Composite) Diphoton Resonances
• One,Two,Zero: Scales of Strong Interactions
• Linear confinement without dilaton in bottom-up holography for walking technicolour
• Dual of QCD with One Adjoint Fermion
• A linear sigma model for multiflavor gauge theories
• Technicolor Signals at the LHC
• Classification of compactified $su(N_c)$ gauge theories with fermions in all representations
• Composite Hybrid Inflation: Dilaton and Waterfall Pions
• Probing technicolor theories with staggered fermions
• The Electroweak Phase Transition in Ultra Minimal Technicolor
• Chiral symmetry breaking with no bilinear condensate revisited
• Strongly Interacting Dynamics beyond the Standard Model on a Spacetime Lattice
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Conformal window in QCD for large numbers of colours and flavours
• Mass and width of a composite Higgs boson
• Numerical computation of the beta function of large N SU(N) gauge theory coupled to an adjoint Dirac fermion
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits
• Perturbative Unitarity of Strongly Interacting Massive Particle Models
• Fixed point merger in the SU(N) gauge beta functions
• Constraints on Conformal Windows from Holographic Duals
• Low energy properties of SU(2) gauge theory with N_f = 3/2 flavours of adjoint fermions
• Towards a fundamental safe theory of composite Higgs and Dark Matter
• Hadrons on the worldline, holography, and Wilson flow
• Minimal Composite Dynamics versus Axion Origin of the Diphoton excess
• Sextet Model with Wilson Fermions
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• The SU(3) Sextet Model with Wilson Fermions
• Holographic Gauged NJL Model: the Conformal Window and Ideal Walking
• The Techni-Pati-Salam Composite Higgs
• QCD thermodynamics with colour-sextet quarks
• Infrared conformality and bulk critical points: SU(2) with heavy adjoint quarks
• Quasiconformality and mass
• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
• Four-Fermion Limit of Gauge-Yukawa Theories
• Ideal Walking Dynamics via a Gauged NJL Model
• Diphoton excess and VV-scattering
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• Topology of Minimal Walking Technicolor
• Conformal Data of Fundamental Gauge-Yukawa Theories
• Conformal Phase Diagram of Complete Asymptotically Free Theories
• Renormalization group procedure for potential $-g/r^2$
• Discriminating between technicolor and warped extra dimensional model via pp $\to$ ZZ channel
• Phase Diagrams of Strongly Interacting Theories
• Technicolor and Beyond: Unification in Theory Space
• Lattice Gauge Theories at the Energy Frontier
• Non-abelian gauged NJL models on the lattice
• Four Fermion Interactions in Non-Abelian Gauge Theory
• Mass anomalous dimension and running of the coupling in SU(2) with six fundamental fermions
• Nonperturbative determination of $\beta$ functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions
• Glueball Spectrum in a Gauge Theory with Two Dynamical Scales
• Thrust Distribution for 3-Jet Production from $e^{+}{e}^{-}$ Annihilation within the QCD Conformal Window and in QED
• Unparticles and CP-violation
• Dark Matter Interference
• Supersymmetric Extension of Technicolor & Fermion Mass Generation
• The chiral phase transition for lattice QCD with 2 colour-sextet quarks
• Study of an Alternate Mechanism for the Origin of Fermion Generations
• Anomalous mass dimension of multi-flavor QCD
• Conformal windows of SP(2N) and SO(N) gauge theories from topological excitations on R3 * S1
• Nonperturbative results for two-index conformal windows
• LHC Lifetime Frontier and Visible Decay Searches in Composite Asymmetric Dark Matter Models
• Minimal Flavor Constraints for Technicolor
• Non-perturbatively improved clover action for SU(2) gauge + fundamental and adjoint representation fermions
• Mass splittings in a linear sigma model for multiflavor gauge theories
• W' and Z' limits for Minimal Walking Technicolor
• Exploring gauge theories with adjoint matter on the lattice
• The fifth dimension in the worldline formalism, holography, and the Wilson flow
• Fermions in higher representations. Some results about SU(2) with adjoint fermions
• Probing Dark Star Parameters Through $f$-Mode Gravitational Wave Signals
• Soft Walls in Dynamic AdS/QCD and the Techni-dilaton
• Dark Vector Mesons at LHC Forward Detector Searches
• Composite Higgs to two Photons and Gluons
• Dynamical Symmetry Breaking in a Minimal 3-3-1 Model
• Scalar bosons in Minimal and Ultraminimal Technicolor: Masses, trilinear couplings and widths
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks II: N_t=6 and N_t=8
• On the phase structure of extra-dimensional gauge theories with fermions
• The $\theta$-angle and axion physics of two-color QCD at fixed baryon charge. Part I
• Technicolor Models with Color-Singlet Technifermions and their Ultraviolet Extensions
• Strong interactions in air showers
• Holograms of a Dynamical Top Quark
• Walking Technicolor in the light of $Z^{\prime }$ searches at the LHC
• Fundamental scalar field with zero dimension from anomaly cancelations
• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations
• Pseudo Goldstone Bosons Phenomenology in Minimal Walking Technicolor
• Finite isospin density probe for conformality
• Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory
• Charging the conformal window at nonzero $\theta$ angle
• Electroweak phase transition in technicolor
• Minimal Walking Technicolor
• Perturbative improvement of SU(2) gauge theory with two Wilson fermions in the adjoint representation
• Electroweak symmetry breaking in other terms
• Large-$N_c$ gauge theory and chiral random matrix theory
• Conformal or confining -- results from lattice gauge theory for higher-representation gauge theories
• Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
• Constraints on Majorana Dark Matter from a Fourth Lepton Family
• Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories
• Composite asymmetric dark matter with a dark photon portal: Multimessenger tests
• The Mirage of the Fermi Scale
• Vacuum Alignment with more Flavors
• Vanilla Technicolor at Linear Colliders
• Dark-technicolour at colliders
• A First-Quantized Model For Unparticles and Gauge Theories Around Conformal Window
• Science Spoofs, Physics Pranks and Astronomical Antics
• Critical behavior of SU(3) lattice gauge theory with 12 light flavors
• Electroweak Chiral Lagrangian from TC2 Model with nontrivial TC fermion condensation and walking
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• The Conformal Window and Walking Technicolor
• Study of thermal SU(3) supersymmetric Yang-Mills theory and near-conformal theories from the gradient flow
• Generalized symmetry enriched criticality in (3+1)d
• Non-perturbative O(a) improvement of the SU(3) sextet model
• Viscous Conformal Gauge Theories
• Mass generation with adjoint fermions
• One Flavour QCD as an analogue computer for SUSY