The Theory of Boundary Critical Phenomena

Abstract

An introduction into the theory of boundary critical phenomena and the application of the field-theoretical renormalization group method to these is given. The emphasis is on a discussion of surface critical behavior at bulk critical points of magnets, binary alloys, and fluids. Yet a multitude of related phenomena are mentioned. The most important distinct surface universality classes that may occur for a given universality class of bulk critical behavior are described, and the respective boundary conditions of the associated field theories are discussed. The short-distance singularities of the order-parameter profile in the diverse asymptotic regimes are surveyed.

24 pages, Latex with 2 figures as eps-files and World Scientific stylefile sprocl.sty, minor additions, updates and corrections

Cited by in corpus (201)

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• Quantum Quenches in Extended Systems
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• Ageing Properties of Critical Systems
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Critical Casimir effect in classical binary liquid mixtures
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• The Field Theory Approach to Percolation Processes
• Boundary Conformal Field Theory and a Boundary Central Charge
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• Holographic evolution of the mutual information
• Large deviations and universality in quantum quenches
• Unusual Corrections to Scaling in Entanglement Entropy
• Massive Field-Theory Approach to Surface Critical Behavior in Three-Dimensional Systems
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• The Thermodynamic Casimir Effect in ${}^4$He Films near $T_{\lambda }$: Monte Carlo Results
• Quantum quenches as classical critical films
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• The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
• Statistics of the work done by splitting a one-dimensional quasi-condensate
• The thermodynamic Casimir force: A Monte Carlo study of the crossover between the ordinary and the normal surface universality class
• Nonuniversal finite-size scaling in anisotropic systems
• Critical behavior at m-axial Lifshitz points: field-theory analysis and $\epsilon$-expansion results
• Thermodynamic Casimir effect for films in the 3D Ising universality class: Symmetry breaking boundary conditions
• Crossover from Attractive to Repulsive Casimir Forces and Vice Versa
• Dynamical Quantum Phase Transitions in Systems with Continuous Symmetry Breaking
• CFT in AdS and boundary RG flows
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Thermodynamic Casimir effect: Universality and Corrections to Scaling
• Critical Casimir effect for colloids close to chemically patterned substrates
• Universal post-quench prethermalization at a quantum critical point
• Crossover of Critical Casimir forces between different surface universality classes
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• Critical Casimir forces for Ising films with variable boundary fields
• Thermodynamic Casimir Forces between a Sphere and a Plate: Monte Carlo Simulation of a Spin Model
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Trapping colloids near chemical stripes via critical Casimir forces
• Absence of orbital-selective Mott transition in Ca_2-xSr_xRuO4
• Critical Casimir Effect: Exact Results
• Excess free energy and Casimir forces in systems with long-range interactions of van-der-Waals type: General considerations and exact spherical-model results
• Surface critical behaviors of coupled Haldane chains
• Critical adsorption on curved objects
• Fluctuation-induced forces in periodic slabs: Breakdown of epsilon expansion at the bulk critical point and revised field theory
• Diversity of critical behavior within a universality class
• Extraordinary-log surface phase transition in the three-dimensional $XY$ model
• Critical aging of Ising ferromagnets relaxing from an ordered state
• Notes on a Surface Defect in the $O(N)$ Model
• Fermions in AdS and Gross-Neveu BCFT
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• On Marginal Operators in Boundary Conformal Field Theory
• Large-$n$ approach to thermodynamic Casimir effects in slabs with free surfaces
• Aging phenomena in critical semi-infinite systems
• Critical behavior in the presence of an order-parameter pinning field
• Universal post-quench coarsening and quantum aging at a quantum critical point
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• Effects of Frustrated Surface in Heisenberg Thin Films
• Continuous Néel-VBS Quantum Phase Transition in Non-Local one-dimensional systems with SO(3) Symmetry
• Directed Percolation and Systems with Absorbing States: Impact of Boundaries
• A Monte Carlo study of surface critical phenomena: The special point
• Effects of weak surface fields on the density profiles and adsorption of a confined fluid near bulk criticality
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• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
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• Fermions in Boundary Conformal Field Theory : Crossing Symmetry and $\epsilon$-Expansion
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• Surface scaling behavior of isotropic Heisenberg systems: Critical exponents, structure factor, and profiles
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• Exact solution of the anisotropic special transition in the O(n) model in 2D
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• Comments on epsilon expansion of the O$(N)$ model with boundary
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• Nonequilibrium critical dynamics in inhomogeneous systems
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• Surface critical behavior of random systems at the special transition
• Thermal Casimir effect with soft boundary conditions
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• Correlation functions near Modulated and Rough Surfaces
• Effective interaction between a colloid and a soft interface near criticality
• Conformal field theory of critical Casimir forces between surfaces with alternating boundary conditions in two dimensions
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• Effects of surfaces on resistor percolation
• Crossover between special and ordinary transitions in random semi-infinite Ising-like systems
• Collective non-equilibrium dynamics at surfaces and the spatio-temporal edge
• Local aging phenomena close to magnetic surfaces
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• Boundary critical behaviour at m-axial Lifshitz points of semi-infinite systems with a surface plane perpendicular to a modulation axis
• Boundary critical behaviour at $m$-axial Lifshitz points: the special transition for the case of a surface plane parallel to the modulation axes
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• Surface quantum critical phenomena in disordered Dirac semimetals
• Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model
• Counting edge modes via dynamics of boundary spin impurities
• Fluctuation induced forces in critical films with disorder at their surfaces
• Critical surface adsorption of confined binary liquids with locally conserved mass and composition
• Adsorption transition of a self-avoiding polymer chain onto a rigid rod
• Two-point boundary correlation functions of dense loop models
• Anisotropic scaling of the two-dimensional Ising model II: surfaces and boundary fields
• Inverse scattering theory and trace formulae for one-dimensional Schrödinger problems with singular potentials
• Geometry of bounded critical phenomena
• Spontaneous symmetry breaking in free theories with boundary potentials
• The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants
• Nonequilibrium critical relaxation at a first-order phase transition point
• Reentrance during nonequilibrium relaxation
• Dynamic surface scaling behavior of isotropic Heisenberg ferromagnets
• Critical Casimir forces between planar and crenellated surfaces
• Magnetization profiles at the upper critical dimension as solutions of the integer Yamabe problem
• Surface critical exponents at a discontinuous bulk transition
• Boundary criticality for the Gross-Neveu-Yukawa models
• Critical behavior at the interface between two systems belonging to different universality classes
• Two-dimensional critical systems with mixed boundary conditions: Exact Ising results from conformal invariance and boundary-operator expansions
• Higgs Phases and Boundary Criticality
• Influence of long-range correlated surface and near the surface disorder on the process of adsorption of long-flexible polymer chains
• Deep Boundary Perturbations at a Quantum Critical Point
• Nonperturbative treatment of a quenched Langevin field theory
• Surface critical behavior of semi-infinite systems with cubic anisotropy at the ordinary transition
• Spread of Entanglement in Non-Relativistic Theories
• Critical $1$- and $2$-point spin correlations for the $O(2)$ model in $3d$ bounded domains
• Note on surface defects in multiscalar critical models
• The three-dimensional $O(n)$ ${\varphi }^4$ model on a strip with free boundary conditions: exact results for a nontrivial dimensional crossover in the limit $n\to \infty$
• Critical relaxation and the combined effects of spatial and temporal boundaries
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• Boundary criticality in two-dimensional interacting topological insulators
• Surface Critical Phenomena of a Free Bose Gas with Enhanced Hopping at the Surface
• Boundary Criticality at the Nishimori Multicritical Point
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Boundary anomalous dimensions from BCFT: O($N$)-symmetric ${\varphi }^{2n}$ theories with a boundary and higher-derivative generalizations