Infrared fixed point
View article: Topological Origin of the Mass Gap in Topological Gauge Duality E; Non-perturbative Renormalization Group Flow and Rigorous Construction of Topological Fixed Points
Topological Origin of the Mass Gap in Topological Gauge Duality E; Non-perturbative Renormalization Group Flow and Rigorous Construction of Topological Fixed Points Open
This paper constructs a topological renormalization group theory to rigorouslycharacterize the non-perturbative renormalization group (RG) evolution of fourdimensional non-Abelian gauge theories from an ultraviolet free fixed point to anin…
View article: Topological Origin of the Mass Gap in Topological Gauge Duality E; Non-perturbative Renormalization Group Flow and Rigorous Construction of Topological Fixed Points
Topological Origin of the Mass Gap in Topological Gauge Duality E; Non-perturbative Renormalization Group Flow and Rigorous Construction of Topological Fixed Points Open
This paper constructs a topological renormalization group theory to rigorouslycharacterize the non-perturbative renormalization group (RG) evolution of fourdimensional non-Abelian gauge theories from an ultraviolet free fixed point to anin…
View article: Kill or Crown: High-Precision Determination of the Critical Point in the 3D Critical Planckian Spin Dynamics (CPSD) Model Reproduces α−1 = 137.03599918(8)
Kill or Crown: High-Precision Determination of the Critical Point in the 3D Critical Planckian Spin Dynamics (CPSD) Model Reproduces α−1 = 137.03599918(8) Open
Using an ultra-fast hybrid algorithm (Wolff + vectorized Metropolis) and the real-space renormalization method “kill-or-crown” with majority rule and democratic tie-breaking, we determine the critical coupling of the 3D CPSD model with fiv…
View article: Kill or Crown: High-Precision Determination of the Critical Point in the 3D Critical Planckian Spin Dynamics (CPSD) Model Reproduces α−1 = 137.03599918(8)
Kill or Crown: High-Precision Determination of the Critical Point in the 3D Critical Planckian Spin Dynamics (CPSD) Model Reproduces α−1 = 137.03599918(8) Open
Using an ultra-fast hybrid algorithm (Wolff + vectorized Metropolis) and the real-space renormalization method “kill-or-crown” with majority rule and democratic tie-breaking, we determine the critical coupling of the 3D CPSD model with fiv…
View article: Convergent Renormalization Group Flow of Spectral Problems in Quantum Field Theory
Convergent Renormalization Group Flow of Spectral Problems in Quantum Field Theory Open
The renormalization group (RG) flow defined by the "smooth Feshbach map" is an effective method in spectral and singular perturbation theory. In 2003, a novel operator-theoretic renormalization group method was introduced and applied to an…
View article: Resolving Confinement: Precision Gluon Mass and Running Coupling from Dynamical Lattice QCD
Resolving Confinement: Precision Gluon Mass and Running Coupling from Dynamical Lattice QCD Open
Quantum Chromodynamics (QCD), the fundamental theory of the strong interaction, exhibits two profound non-perturbative phenomena: color confinement and dynamical chiral symmetry breaking. Understanding these features from first principles …
View article: Resolving Confinement: Precision Gluon Mass and Running Coupling from Dynamical Lattice QCD
Resolving Confinement: Precision Gluon Mass and Running Coupling from Dynamical Lattice QCD Open
Quantum Chromodynamics (QCD), the fundamental theory of the strong interaction, exhibits two profound non-perturbative phenomena: color confinement and dynamical chiral symmetry breaking. Understanding these features from first principles …
View article: Anisotropic scale invariance and the uniaxial Lifshitz point from the nonperturbative renormalization group
Anisotropic scale invariance and the uniaxial Lifshitz point from the nonperturbative renormalization group Open
We employ the derivative expansion of the nonperturbative renormalization group to address the phenomenon of anisotropic scale invariance and the associated functional fixed points, also known as Lifshitz points, in systems characterized b…
View article: Cold Quark Matter: Renormalization group improvement of the perturbative series
Cold Quark Matter: Renormalization group improvement of the perturbative series Open
We discuss recent improvements of the cold and dense QCD pressure owing to an all-order resummation of the soft modes, or to the so-called renormalization group optimized perturbation theory (RGOPT). Both approaches show a significant impr…
View article: Cold Quark Matter: Renormalization group improvement of the perturbative series
Cold Quark Matter: Renormalization group improvement of the perturbative series Open
We discuss recent improvements of the cold and dense QCD pressure owing to an all-order resummation of the soft modes, or to the so-called renormalization group optimized perturbation theory (RGOPT). Both approaches show a significant impr…
View article: Functional renormalization group study of a dissipative Bose--Hubbard model
Functional renormalization group study of a dissipative Bose--Hubbard model Open
We investigate the phase diagram of a one-dimensional dissipative Bose-Hubbard model using the nonperturbative functional renormalization group (FRG). Each lattice site is coupled to an independent bath, generating long-range temporal inte…
View article: Functional renormalization group study of a dissipative Bose--Hubbard model
Functional renormalization group study of a dissipative Bose--Hubbard model Open
We investigate the phase diagram of a one-dimensional dissipative Bose-Hubbard model using the nonperturbative functional renormalization group (FRG). Each lattice site is coupled to an independent bath, generating long-range temporal inte…
View article: Series of Tests of a Constraint on Asymptotically Free Gauge Theories
Series of Tests of a Constraint on Asymptotically Free Gauge Theories Open
We revisit the constraint proposed by T. Appelquist, A. G. Cohen, and M. Schmaltz (ACS) on asymptotically free field theories, which relates the number of infrared (IR) degrees of freedom to those in the ultraviolet (UV). The original ACS …
View article: Fixed points of semi-simple supersymmetric gauge theories
Fixed points of semi-simple supersymmetric gauge theories Open
We study fixed points and phase diagrams of semi-simple supersymmetric gauge theories coupled to chiral superfields and a superpotential. Particular emphasis is put on new phenomena which arise due to the semi-simple nature of gauge intera…
View article: Fixed points of semi-simple supersymmetric gauge theories
Fixed points of semi-simple supersymmetric gauge theories Open
We study fixed points and phase diagrams of semi-simple supersymmetric gauge theories coupled to chiral superfields and a superpotential. Particular emphasis is put on new phenomena which arise due to the semi-simple nature of gauge intera…
View article: Continuous order-to-order quantum phase transitions from fixed-point annihilation
Continuous order-to-order quantum phase transitions from fixed-point annihilation Open
A central concept in the theory of phase transitions beyond the Landau–Ginzburg–Wilson paradigm is fractionalization: the formation of new quasiparticles that interact via emergent gauge fields. This concept has been extensively explored i…
View article: Dynamic Critical Behavior Near the Critical Point of Chiral Transition and the QCD Critical End Point with Real-Time Functional Renormalization Group
Dynamic Critical Behavior Near the Critical Point of Chiral Transition and the QCD Critical End Point with Real-Time Functional Renormalization Group Open
View article: Is lattice quantum gravity asymptotically safe? Making contact between causal dynamical triangulations and the functional renormalization group
Is lattice quantum gravity asymptotically safe? Making contact between causal dynamical triangulations and the functional renormalization group Open
We compare the effective action of the scale factor obtained from lattice quantum gravity [in the form of causal dynamical triangulations (CDT)] to the corresponding effective action obtained from the simplest functional renormalization gr…
View article: Anomalies and Dynamics in Strongly-coupled Gauge Theories. New Criteria for Different Phases and Lessons from Supersymmetric Theories
Anomalies and Dynamics in Strongly-coupled Gauge Theories. New Criteria for Different Phases and Lessons from Supersymmetric Theories Open
We review recent developments in our understanding of the dynamics of strongly-coupled chiral SU(N) gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard SU(3)QCD × (SU(2) ×U(1))…
View article: Functional renormalization group approach to dipolar fixed point which is scale invariant but nonconformal
Functional renormalization group approach to dipolar fixed point which is scale invariant but nonconformal Open
A dipolar fixed point introduced by Aharony and Fisher is a physical example of interacting scale-invariant but nonconformal field theories. We find that the perturbative critical exponents computed in ε expansions violate the conformal bo…
View article: Scale symmetry breaking and generation of mass at quantum critical points
Scale symmetry breaking and generation of mass at quantum critical points Open
A bstract We study an asymptotically free theory of N relativistic Dirac fermions and a real scalar field coupled by Yukawa and scalar self-interactions in three dimensions using functional renormalisation. In the limit of many fermion fla…
View article: Critical behavior around the fixed points driven by fermion–fermion interactions and disorders in the nodal-line superconductors
Critical behavior around the fixed points driven by fermion–fermion interactions and disorders in the nodal-line superconductors Open
View article: Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system
Infrared fixed point in the massless twelve-flavor SU(3) gauge-fermion system Open
We present strong numerical evidence for the existence of an infrared fixed point in the renormalization group flow of the SU(3) gauge-fermion system with twelve massless fermions in the fundamental representation. Our numerical simulation…
View article: The Quenched ${g_A}$ Puzzle in Nuclei & Nuclear Matter and "Pseudo-Conformality" in QCD
The Quenched ${g_A}$ Puzzle in Nuclei & Nuclear Matter and "Pseudo-Conformality" in QCD Open
The long-standing puzzle of the quenched $g_A$ in nuclei is shown to have an extremely simple resolution in a renormalization-group (RG) treatment of a hidden local symmetric (HLS) and scale-symmetric (HSS) chiral Lagrangian. It is shown t…
View article: Three lectures on the Curci-Ferrari model
Three lectures on the Curci-Ferrari model Open
In these lectures, we review the status of the Curci-Ferrari model as a phenomenological approach to Landau gauge-fixed YM theories in the infrared. More precisely, after discussing some of the general properties of the model, we explain i…
View article: QCD with an infrared fixed point: The pion sector
QCD with an infrared fixed point: The pion sector Open
The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the quark mass anomalous dimensi…
View article: Renormalization group flow and fixed-point in tensor network representations
Renormalization group flow and fixed-point in tensor network representations Open
In this thesis, we present a novel method combining energy-based finite-size scaling with tensor network renormalization (TNR) to study phase transitions in lattice models. This approach effectively calculates running coupling constants an…
View article: Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation
Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation Open
I rigorously prove the existence of a nontrivial fixed point of a family of continuous renormalization group flows corresponding to certain weakly interacting Fermionic quantum field theories with a parameter in the propagator allowing the…
View article: On the Convergence of the Fixed Point Method for Solving Neutron Transport Alpha Eigenvalue Problems
On the Convergence of the Fixed Point Method for Solving Neutron Transport Alpha Eigenvalue Problems Open
View article: QCD with an Infrared Fixed Point and a Dilaton
QCD with an Infrared Fixed Point and a Dilaton Open
Following previous work we further explore the possibility that the chirally broken phase of gauge theories admits an infrared fixed point interpretation. The slope of the $β$ function, $β'_*$, is found to vanish at the infrared fixed poin…