The derivative of entanglement entropy with respect to subregion volume equals the thermal entropy density in the large-subregion limit, verified via lattice simulations of the finite-density O(4) model using dual worm algorithms.
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Critical Phenomena and Renormalization-Group Theory
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We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O($N$)-symmetric universality classes, including the $N\to 0$ limit that describes the critical behavior of self-avoiding walks. For each of them, we review the estimates of the critical exponents, of the equation of state, of several amplitude ratios, and of the two-point function of the order parameter. We report results in three and two dimensions. We discuss the crossover phenomena that are observed in this class of systems. In particular, we review the field-theoretical and numerical studies of systems with medium-range interactions. Moreover, we consider several examples of magnetic and structural phase transitions, which are described by more complex Landau-Ginzburg-Wilson Hamiltonians, such as $N$-component systems with cubic anisotropy, O($N$)-symmetric systems in the presence of quenched disorder, frustrated spin systems with noncollinear or canted order, and finally, a class of systems described by the tetragonal Landau-Ginzburg-Wilson Hamiltonian with three quartic couplings. The results for the tetragonal Hamiltonian are original, in particular we present the six-loop perturbative series for the $\beta$-functions. Finally, we consider a Hamiltonian with symmetry $O(n_1)\oplus O(n_2)$ that is relevant for the description of multicritical phenomena.
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In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first-order reconfinement.
A spectral cutoff RG flow on S^3 realizes the Wilson-Fisher universality class with one relevant direction and critical exponents close to flat-space values.
Monte Carlo simulations on lattices up to 48 cubed produce estimates of critical exponents for the 3D dipolar universality class, confirm a continuous phase transition, and show restoration of rotation invariance.
Conditional MAFs interpolate QCD chiral phase structure across coupling, mass, and volume, reproducing reweighting while cutting required ensembles despite bias near transitions.
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
Fully convolutional diffusion models trained on small lattices transfer to unseen larger volumes for 2D/3D phi^4 sampling across phases, matching or beating same-size training on most observables.
Proposal for an experimental test of conformal invariance in critical phenomena via grazing-incidence scattering that checks a momentum-space differential constraint on the cross-section.
A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.
Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.
In a constructed QCD equation of state incorporating surface energy, critical exponents require temperature within 1% of the critical value, casting doubt on their measurability in heavy ion experiments.
The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.
Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.
citing papers explorer
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Determination of thermodynamics from entanglement entropy in the finite-density O(N) model
The derivative of entanglement entropy with respect to subregion volume equals the thermal entropy density in the large-subregion limit, verified via lattice simulations of the finite-density O(4) model using dual worm algorithms.
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Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory
In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first-order reconfinement.
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Coarse graining from within: Wilson-Fisher universality on $S^3$
A spectral cutoff RG flow on S^3 realizes the Wilson-Fisher universality class with one relevant direction and critical exponents close to flat-space values.
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A Monte Carlo Study of the Dipolar Universality Class in Three Dimensions
Monte Carlo simulations on lattices up to 48 cubed produce estimates of critical exponents for the 3D dipolar universality class, confirm a continuous phase transition, and show restoration of rotation invariance.
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Testing machine-learned distributions against Monte Carlo data for the QCD chiral phase transition
Conditional MAFs interpolate QCD chiral phase structure across coupling, mass, and volume, reproducing reweighting while cutting required ensembles despite bias near transitions.
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Quantum Rotors on the Fuzzy Sphere and the Cubic CFT
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
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Diffusion Models for Sampling Near Criticality in Lattice Field Theories
Fully convolutional diffusion models trained on small lattices transfer to unseen larger volumes for 2D/3D phi^4 sampling across phases, matching or beating same-size training on most observables.
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Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments
Proposal for an experimental test of conformal invariance in critical phenomena via grazing-incidence scattering that checks a momentum-space differential constraint on the cross-section.
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Unified Functional-Holographic Theory of the QCD Critical End Point
A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.
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Functional Dimensional Regularization for O(N) Models
Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.
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Scaling of the Surface Free Energy as a Probe of the QCD Critical Region
In a constructed QCD equation of state incorporating surface energy, critical exponents require temperature within 1% of the critical value, casting doubt on their measurability in heavy ion experiments.
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Lee-Yang zeros and edge singularity in a mean-field approach
The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.
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Lectures on Semiclassical Methods for Composite Operators
Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.
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Coherent and dissipative dynamics at quantum phase transitions
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.