A non-trivial UV fixed point for the scalar matter form factor exists in asymptotically safe quantum gravity, with a discrete spectrum of critical exponents and infrared locality restored.
The Nonperturbative Functional Renormalization Group and Its Applica- tions
8 Pith papers cite this work, alongside 572 external citations. Polarity classification is still indexing.
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A source-extended Lie-group algorithm derives Ward identities for elastic Burgulence, showing viscoelastic turbulence has weaker symmetry constraints than Navier-Stokes turbulence.
FunKit is a computer algebra toolkit that automates derivation of functional equations such as Dyson-Schwinger and functional RG from arbitrary master equations, with tracing via FORM and export to numerical code.
RG-inspired lattice models for piecewise GLMs provide explicit interpretable partitions and a replica-analysis-derived scaling law for regularization that allows increasing complexity without expected rise in generalization loss.
FRG in the LPA' approximation identifies the Aharony fixed point for strong dipolar magnets and yields critical exponents numerically close to but distinct from the O(3) Heisenberg class.
Derives beta functions for couplings in interacting bosonic and fermionic fields on curved spacetimes via local potential approximation and proves local existence and uniqueness of the resulting flow equations.
FRG study of QCD-like theories finds the CP-violating four-fermion operator becomes relevant in the chirally broken phase when the gauge coupling runs, while finite quark mass strongly suppresses infrared running of the theta parameter.
A pedagogical review of hydrodynamic and dynamic RG approaches to nonequilibrium universality classes uncovered since 2015 in active and living matter.
citing papers explorer
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Scaling Solutions of Matter Form Factors in Asymptotically Safe Quantum Gravity
A non-trivial UV fixed point for the scalar matter form factor exists in asymptotically safe quantum gravity, with a discrete spectrum of critical exponents and infrared locality restored.
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Functional Renormalization for Elastic Burgulence
A source-extended Lie-group algorithm derives Ward identities for elastic Burgulence, showing viscoelastic turbulence has weaker symmetry constraints than Navier-Stokes turbulence.
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FunKit: A computer algebra toolkit for functional approaches
FunKit is a computer algebra toolkit that automates derivation of functional equations such as Dyson-Schwinger and functional RG from arbitrary master equations, with tracing via FORM and export to numerical code.
-
A renormalization-group inspired lattice-based framework for piecewise generalized linear models
RG-inspired lattice models for piecewise GLMs provide explicit interpretable partitions and a replica-analysis-derived scaling law for regularization that allows increasing complexity without expected rise in generalization loss.
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Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group
FRG in the LPA' approximation identifies the Aharony fixed point for strong dipolar magnets and yields critical exponents numerically close to but distinct from the O(3) Heisenberg class.
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A perturbative approach to the Wetterich equation for Bosonic and Fermionic interacting fields
Derives beta functions for couplings in interacting bosonic and fermionic fields on curved spacetimes via local potential approximation and proves local existence and uniqueness of the resulting flow equations.
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$CP$ phase structure of QCD from functional renormalization group
FRG study of QCD-like theories finds the CP-violating four-fermion operator becomes relevant in the chirally broken phase when the gauge coupling runs, while finite quark mass strongly suppresses infrared running of the theta parameter.
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Hydrodynamics, Renormalization Group, and Universality Classes Far from Equilibrium
A pedagogical review of hydrodynamic and dynamic RG approaches to nonequilibrium universality classes uncovered since 2015 in active and living matter.