Beyond Miransky Scaling

Abstract

We study the scaling behavior of physical observables in strongly-flavored asymptotically free gauge theories, such as many-flavor QCD. Such theories approach a quantum critical point when the number of fermion flavors is increased. It is well-known that physical observables at this quantum critical point exhibit an exponential scaling behavior (Miransky scaling), provided the gauge coupling is considered as a constant external parameter. This scaling behavior is modified when the scale dependence of the gauge coupling is taken into account. Provided that the gauge coupling approaches an IR fixed point, we derive the resulting universal power-law corrections to the exponential scaling behavior and show that they are uniquely determined by the IR critical exponent of the gauge coupling. To illustrate our findings, we compute the universal corrections in many-flavor QCD with the aid of nonperturbative functional renormalization group methods. In this case, we expect the power-law scaling to be quantitatively more relevant if the theories are probed, for instance, at integer Nf as done in lattice simulations.

16 pages, 8 figures

References in corpus (15)

• Exact evolution equation for the effective potential
• Non-perturbative comparison of QCD effective charges
• Chiral phase boundary of QCD at finite temperature
• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Asymptotic safety: a simple example
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Conformality or confinement: (IR)relevance of topological excitations
• Scaling relations for the entire spectrum in mass-deformed conformal gauge theories
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Comments on lattice gauge theories with infrared-attractive fixed points
• QCD Dual
• Extreme Technicolor & The Walking Critical Temperature

Cited by in corpus (46)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Quantum gravity: a fluctuating point of view
• On finite-temperature holographic QCD in the Veneziano limit
• RG Flows and Bifurcations
• On the Phase Structure of Many-Flavor QED${}_3$
• Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
• Critical behavior of the (2+1)-dimensional Thirring model
• Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
• Fermi velocity renormalization and dynamical gap generation in graphene
• Quantum and stringy corrections to the equation of state of holographic QCD matter and the nature of the chiral transition
• Holography of the Conformal Window
• Critical Schwinger pair production
• Chiral phase transition at finite temperature and conformal dynamics in large Nf QCD
• Numerical evidence of conformal phase transition in graphene with long-range interactions
• Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
• A Perturbative Realization of Miransky Scaling
• The spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavours
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Jumping Dynamics
• Tensor $O(N)$ model near six dimensions: fixed points and conformal windows from four loops
• Four-quark scatterings in QCD I
• Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
• One,Two,Zero: Scales of Strong Interactions
• Resummation in QFT with Meijer G-functions
• Fixed point merger in the SU(N) gauge beta functions
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Random-mass disorder in the critical Gross-Neveu-Yukawa models
• 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
• W' and Z' limits for Minimal Walking Technicolor
• Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• Functional renormalization flow and dynamical chiral symmetry breaking of QCD
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• Gliding down the QCD transition line, from $N_f=2$ till the onset of conformality
• Intermediate effective interactions and dynamical fermion mass generation of QCD
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Conformal Windows beyond Asymptotic Freedom
• Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavored Gauge Theory