Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World

Abstract

We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vector-like matter transforming according to higher irreducible representations of the gauge group. We determine the fraction of asymptotically free theories expected to develop an infrared fixed point and find that it does not depend on the specific choice of the representation. This result is exact in supersymmetric theories while it is an approximate one in the nonsupersymmetric case. The analysis allows us to size the unparticle world related to the existence of underlying gauge theories developing an infrared stable fixed point. We find that exactly 50 % of the asymptotically free theories can develop an infrared fixed point while for the nonsupersymmetric theories it is circa 25 %. When considering multiple representations, only for the nonsupersymmetric case, the conformal regions quickly dominate over the nonconformal ones. For four representations, 70 % of the asymptotically free space is filled by the conformal region. According to our theoretical landscape survey the unparticle physics world occupies a sizable amount of the particle world, at least in theory space, and before mixing it (at the operator level) with the nonconformal one.

arXiv commentRevTeX, 18 pages, 2 figures

References in corpus (51)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Nonperturbative Evolution Equation for Quantum Gravity
• Unparticle Physics
• The Exact Superconformal R-Symmetry Maximizes a
• Fixed points of quantum gravity
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• Orientifold theory dynamics and symmetry breaking
• Walking in the SU(N)
• Another Odd Thing About Unparticle Physics
• Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
• Conformal Phase Transition in Gauge Theories
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Minimal Walking Technicolor: Set Up for Collider Physics
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• Minimal Walking on the Lattice
• Collider signals in unparticle physics
• Holomorphy, Rescaling Anomalies and Exact beta Functions in Supersymmetric Gauge Theories
• Contraints on Matter from Asymptotic Safety
• The Physical Spectrum of Conformal SU(N) Gauge Theories
• Chiral phase structure of QCD with many flavors
• Fixed points of quantum gravity in extra dimensions
• New checks and subtleties for AdS/CFT and a-maximization
• Central Charges and $U(1{)}_R$ Symmetries in $\mathcal{N}=1$ Super Yang-Mills
• Collider Phenomenology of Unparticle Physics
• Deconstruction of Unparticles
• Bounds on Unparticles from the Higgs Sector
• Evidence for the Strongest Version of the 4d a-Theorem, via a-Maximization Along RG Flows
• Light composite Higgs and precision electroweak measurements on the Z resonance: An update
• Constraining Unparticle Physics with Cosmology and Astrophysics
• Enhanced Global Symmetries and The Chiral Phase Transition
• Interactions of Unparticles with Standard Model Particles
• Unparticle Physics Effects on D0-anti-D0 Mixing
• Unparticle physics effects in B_s mixing
• Some Phenomenologies of Unparticle Physics
• Renormalization Group Invariance of Exact Results in Supersymmetric Gauge Theories
• RG Fixed Points and Flows in SQCD with Adjoints
• Unparticle physics and Higgs phenomenology
• B \to K(K^*) missing energy in Unparticle physics
• Unparticles: Scales and High Energy Probes
• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
• Chiral Phase Transition for SU(N) Gauge Theories via an Effective Lagrangian Approach
• Unparticle phase effects
• Unparticle physics at hadron collider via dilepton production
• Unparticle Physics and Supersymmetry Phenomenology
• Unparticles and Muon Decay
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Unparticles at heavy flavour scales: CP violating phenomena
• N=1 RG Flows, Product Groups, and a-Maximization
• Inequalities for trace anomalies, length of the RG flow, distance between the fixed points and irreversibility
• Phase Transition Critical Flavor Number of QCD

Cited by in corpus (103)

• The Muon g-2
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Ultra Minimal Technicolor and its Dark Matter TIMP
• Supersymmetry Inspired QCD Beta Function
• Nearly conformal gauge theories in finite volume
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• Evidence for a conformal phase in SU(N) gauge theories
• Technicolor Walks at the LHC
• Technicolor Dark Matter
• Conformality or confinement: (IR)relevance of topological excitations
• Unparticles-Higgs Interplay
• Conformal Windows of SP(2N) and SO(N) Gauge Theories
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• Unparticle constraints from SN1987A
• Unparticle & Higgs as Composites
• iTIMP: isotriplet Technicolor Interacting Massive Particle as Dark Matter
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Beyond Miransky Scaling
• Higher representations on the lattice: perturbative studies
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and Unparticles
• Light Dilaton at Fixed Points and Ultra Light Scale Super Yang Mills
• The Electroweak Phase Transition in Nearly Conformal Technicolor
• Dynamic AdS/QCD and the Spectrum of Walking Gauge Theories
• Composite Inflation Setup and Glueball Inflation
• Holography of the Conformal Window
• Unitarity in Technicolor
• Mass Deformed Exact S-parameter in Conformal Theories
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Unnatural Origin of Fermion Masses for Technicolor
• Unparticles at heavy flavour scales: CP violating phenomena
• Hot Conformal Gauge Theories
• Holographic Modelling of a Light Techni-Dilaton
• Constraining Walking and Custodial Technicolor
• Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory
• Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme
• Infrared Fixed Points in the minimal MOM Scheme
• Unraveling unparticles through violation of atomic parity and rare beauty
• Unparticle Physics with Jets
• Unparticle physics at the photon collider
• Fermions and baryons as open-string states from brane junctions
• Conformal House
• Holography of a Composite Inflaton
• Quantum Critical Behaviour of Semi-Simple Gauge Theories
• Cosmological Constraints on Unparticles as Continuous Mass Scalars
• Light composite Higgs boson from the normalized Bethe-Salpeter equation
• Higher Representations Duals
• Infrared Fixed Point Physics in $\mathrm{SO}(N_c)$ and $\mathrm{Sp}(N_c)$ Gauge Theories
• Unparticle physics in diphoton production at the CERN LHC
• Flavor Dependence of the S-parameter
• Antisymmetric rank--2 tensor unparticle physics
• Exceptional and Spinorial Conformal Windows
• Gravitational Techniwaves
• Physics of the Non-Abelian Coulomb Phase: Insights from Padé Approximants
• Test of unparticle long range forces from perihelion precession of Mercury
• Phases of Gauge Theories
• Meson spectra of asymptotically free gauge theories from holography
• Delineating the conformal window
• Generational Structure of Models with Dynamical Symmetry Breaking
• Unparticle Physics and A_{FB}^b on the Z pole
• Extra Electroweak Phase Transitions from Strong Dynamics
• Disentangling the Unparticles with polarized beams at e+e- colliders
• Linear confinement without dilaton in bottom-up holography for walking technicolour
• Technicolor Signals at the LHC
• The Electroweak Phase Transition in Ultra Minimal Technicolor
• Exploring non-radial oscillation modes in dark matter admixed neutron stars
• W-pair production in Unparticle Physics
• Conformal window in QCD for large numbers of colours and flavours
• Constraints on Conformal Windows from Holographic Duals
• Effects of Unparticles on Running of Gauge Couplings
• Unparticle Induced Baryon Number Violating Nucleon Decays
• Fixed point merger in the SU(N) gauge beta functions
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• Decay of Z Boson into Photon and Unparticle
• Study of the Renormalization-Group Evolution of $\mathcal{N}=1$ Supersymmetric Gauge Theories Using Padé Approximants
• Higgs Boson Decays into Single Photon plus Unparticle
• Supersymmetric Extension of Technicolor & Fermion Mass Generation
• Unparticles and CP-violation
• Phase Diagrams of Strongly Interacting Theories
• Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
• Unparticle Effects on Unitarity Constraints from Higgs Boson Scattering
• Minimal Flavor Constraints for Technicolor
• W' and Z' limits for Minimal Walking Technicolor
• Unparticle Self-Interactions at the Large Hadron Collider
• Unification and New Particles at the LHC
• Gravitational tests of electroweak relaxation
• Soft Walls in Dynamic AdS/QCD and the Techni-dilaton
• On the phase structure of extra-dimensional gauge theories with fermions
• Traces of a fixed point: Unravelling the phase diagram at large Nf
• Technicolor Models with Color-Singlet Technifermions and their Ultraviolet Extensions
• Walking Technicolor in the light of $Z^{\prime }$ searches at the LHC
• Unparticles in Gluodynamics
• Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations
• Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories
• Vacuum Alignment with more Flavors
• Multi-boson splashes at future colliders from electroweak compositeness
• A Comparative Study of Criticality Conditions for Anomalous Dimensions using Exact Results in an $\mathcal{N}=1$ Supersymmetric Gauge Theory
• Vanilla Technicolor at Linear Colliders
• Bosonic Seesaw in the Unparticle Physics
• A solution to the mu problem in the supersymmetric unparticle physics
• On Unparticles and K+ to pi+ Missing Energy
• The Conformal Window and Walking Technicolor
• A First-Quantized Model For Unparticles and Gauge Theories Around Conformal Window