Chiral phase structure of QCD with many flavors

Abstract

We investigate QCD with a large number of massless flavors with the aid of renormalization group flow equations. We determine the critical number of flavors separating the phases with and without chiral symmetry breaking in SU(Nc) gauge theory with many fermion flavors. Our analysis includes all possible fermionic interaction channels in the pointlike four-fermion limit. Constraints from gauge invariance are resolved explicitly and regulator-scheme dependencies are studied. Our findings confirm the existence of an Nf window where the system is asymptotically free in the ultraviolet, but remains massless and chirally invariant on all scales, approaching a conformal fixed point in the infrared. Our prediction for the critical number of flavors of the zero-temperature chiral phase transition in SU(3) is Nf^{cr}=10.0\pm 0.29(fermion)[+1.55;-0.63](gluon), with the errors arising from approximations in the fermionic and gluonic sectors, respectively.

7 pages, 3 figures, updated discussion of the uncertainties in the gauge sector

References in corpus (21)

• Exact evolution equation for the effective potential
• The four-loop beta-function in Quantum Chromodynamics
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• Optimisation of the exact renormalisation group
• Conformal Phase Transition in Gauge Theories
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Renormalization Flow of Bound States
• Critical exponents from optimised renormalisation group flows
• Flow Equations and BRS Invariance for Yang-Mills Theories
• Effective Action for the Quark-Meson Model
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Gluon Condensation in Nonperturbative Flow Equations
• Towards a renormalizable standard model without fundamental Higgs scalar
• Vector Manifestation of the Chiral Symmetry
• Phase structure of lattice QCD for general number of flavors
• Renormalization flow of QED
• Flow Equations without Mean Field Ambiguity
• Chiral Phase Transition for SU(N) Gauge Theories via an Effective Lagrangian Approach
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Instantons and the Chiral Phase Transition
• A Comment on the Zero Temperature Chiral Phase Transition in $SU(N)$ Gauge Theories

Cited by in corpus (141)

• The nonperturbative functional renormalization group and its applications
• Infrared Properties of QCD from Dyson-Schwinger equations
• Walking in the SU(N)
• Deconfined quantum critical points: symmetries and dualities
• Conformality Lost
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Chiral symmetry breaking in continuum QCD
• Lattice Study of the Conformal Window in QCD-like Theories
• Walking, Weak first-order transitions, and Complex CFTs
• Minimal Walking Technicolor: Set Up for Collider Physics
• Minimal Walking on the Lattice
• Holographic Models for QCD in the Veneziano Limit
• Chiral phase boundary of QCD at finite temperature
• Supersymmetry Inspired QCD Beta Function
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• The physics of eight flavours
• Hyperscaling relations in mass-deformed conformal gauge theories
• Light fermions in quantum gravity
• Improved Polyakov-loop potential for effective models from functional calculations
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Quantum gravity: a fluctuating point of view
• Duality between $(2+1)d$ Quantum Critical Points
• Viability of quantum-gravity induced ultraviolet completions for matter
• Symmetric nuclear matter from the strong interaction
• Conformality or confinement: (IR)relevance of topological excitations
• RG Flows and Bifurcations
• Chiral fermions in asymptotically safe quantum gravity
• A theory of deconfined pseudo-criticality
• The QCD Phase Boundary from Quark-Gluon Dynamics
• On the Phase Structure of Many-Flavor QED${}_3$
• Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• The discontinuities of conformal transitions and mass spectra of V-QCD
• Gauge invariance of a critical number of flavours in QED3
• Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
• UV fixed-point structure of the three-dimensional Thirring model
• Critical behavior of the (2+1)-dimensional Thirring model
• Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation
• Massive holographic QCD in the Veneziano limit
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Phase diagram of electronic systems with quadratic Fermi nodes in $2<d<4$: $2+\epsilon$ expansion, $4-\epsilon$ expansion, and functional renormalization group
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Beyond Miransky Scaling
• Emergence and spontaneous breaking of approximate O(4) symmetry at a weakly first-order deconfined phase transition
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
• Light charged fermions in quantum gravity
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Scaling laws near the conformal window of many-flavor QCD
• Nonrelativistic inverse square potential, scale anomaly, and complex extension
• The Conformal Window from the Worldline Formalism
• Dynamic AdS/QCD and the Spectrum of Walking Gauge Theories
• Critical Schwinger pair production
• Holography of the Conformal Window
• Mass Deformed Exact S-parameter in Conformal Theories
• Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
• pi^+ - pi^0 mass difference and S parameter in the large N_f QCD
• Holographic Modelling of a Light Techni-Dilaton
• Hot Conformal Gauge Theories
• Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Conformality Loss, Walking, and 4D Complex Conformal Field Theories at Weak Coupling
• IR Free or Interacting? A Proposed Diagnostic
• Numerical evidence of conformal phase transition in graphene with long-range interactions
• Holographic Complex Conformal Field Theories
• Near-Conformal Dynamics at Large Charge
• Shadow of complex fixed point: Approximate conformality of Q>4 Potts model
• Resizing the Conformal Window: A beta function Ansatz
• Deconfined criticality from the QED${}_3$-Gross-Neveu model at three loops
• Walking near a Conformal Fixed Point: the 2-d O(3) Model at theta near pi as a Test Case
• Spontaneous breaking of Lorentz symmetry in $(2+\epsilon )$-dimensional QED
• The Conformal Window of deformed CFT's in the planar limit
• Flavor Dependence of the S-parameter
• Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
• Charging the Conformal Window
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• A Perturbative Realization of Miransky Scaling
• Conformal window from conformal expansion
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Asymptotic Freedom, Dimensional Transmutation, and an Infra-red Conformal Fixed Point for the $\delta$-Function Potential in 1-dimensional Relativistic Quantum Mechanics
• An ideal toy model for confining, walking and conformal gauge theories: the O(3) sigma model with theta-term
• Phases of Gauge Theories
• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
• Meson spectra of asymptotically free gauge theories from holography
• QCD-inspired determination of NJL model parameters
• Gravitational instantons and anomalous chiral symmetry breaking
• From quarks and gluons to color superconductivity at supranuclear densities
• Tensor $O(N)$ model near six dimensions: fixed points and conformal windows from four loops
• Running coupling in the conformal window of large-Nf QCD
• Looking through the QCD Conformal Window with Perturbation Theory
• Four-quark scatterings in QCD I
• Fixed point annihilation for a spin in a fluctuating field
• Critical $O(2)$ and $O(3)$ ${\varphi }^4$ theories near six dimensions
• The effect of vertex corrections on the possibility of chiral symmetry breaking, induced by long-range Coulomb repulsion in graphene
• SU(2)-Symmetric Spin-Boson Model: Quantum Criticality, Fixed-Point Annihilation, and Duality
• Constraints on Conformal Windows from Holographic Duals
• Fixed point merger in the SU(N) gauge beta functions
• Homoclinic RG flows, or when relevant operators become irrelevant
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• Observable consequences of quantum gravity: Can light fermions exist?
• Conformality and self-duality of $N_f=2$ QED${}_3$
• Quasiconformality and mass
• The search for the universality class of metric quantum gravity
• Random-mass disorder in the critical Gross-Neveu-Yukawa models
• Do Instantons Like a Colorful Background?
• Soluble Fermionic Quantum Critical Point in Two Dimensions
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Multiple Mass Hierarchies from Complex Fixed Point Collisions
• Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
• Phase Diagrams of Strongly Interacting Theories
• On the gauge boson's properties in a candidate technicolor theory
• Gross-Neveu-Yukawa theory of $\text{SO}(2N)\to \text{SO}(N)\times \text{SO}(N)$ spontaneous symmetry breaking
• Bifurcations in the RG-flow of QCD
• W' and Z' limits for Minimal Walking Technicolor
• Dynamical Chiral Symmetry Breaking in Quantum Chromo Dynamics: Delicate and Intricate
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• The scalar glueball operator, the a-theorem, and the onset of conformality
• Color-flavor dependence of the Nambu-Jona-Lasinio model and QCD phase diagram
• SO(4) multicriticality of two-dimensional Dirac fermions
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• The Nordic-walking mechanism and its explanation of deconfined pseudocriticality from Wess-Zumino-Witten theory
• Solving the QCD non-perturbative flow equation as a partial differential equation and its application to the dynamical chiral symmetry breaking
• Soft Walls in Dynamic AdS/QCD and the Techni-dilaton
• Phase Transition Critical Flavor Number of QCD
• On the phase structure of extra-dimensional gauge theories with fermions
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics
• About flavor, spin and color
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Charging the conformal window at nonzero $\theta$ angle
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• Boundary Criticality of Complex Conformal Field Theory: A Case Study in the Non-Hermitian 5-State Potts Model
• Phase transitions for SU(N) gauge theories with arbitrary number of flavors
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model
• Unitarity and Dilaton effective theory
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Non-perturbative Aspects of Quantum Field Theories from Holography
• Evidence for complex fixed points in pandemic data
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity