Breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition
DOI10.1007/978-3-030-59649-1_9zbMath1473.81062arXiv1909.05505OpenAlexW2972888468MaRDI QIDQ2019738
Publication date: 22 April 2021
Published in: Progress in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05505
limit cyclesuniversalitygrapheneBerezinskii-Kosterlitz-Thoulesscontinuous scale invariancediscrete scale invariance
Fractional processes, including fractional Brownian motion (60G22) Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to probability theory (60-06) Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory (37-06) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Statistical mechanics of nanostructures and nanoparticles (82D80) Proceedings, conferences, collections, etc. pertaining to measure and integration (28-06)
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Cites Work
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- Existence of a meromorphic extension of spectral zeta functions on fractals
- Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
- Harmonic oscillators on infinite Sierpinski gaskets
- Nonrelativistic inverse square potential, scale anomaly, and complex extension
- A fractal quantum mechanical model with Coulomb potential
- Generalization of Sturm-Liouville theory to a system of ordinary differential equations with Dirac type spectrum
- Explicit formulas for heat kernels on diamond fractals
- Topological order and conformal quantum critical points
- Fractal space-times under the microscope: a renormalization group view on Monte Carlo data
- On the limit cycle for the \(1/r^{2}\) potential in momentum space
- LIFSHITZ-TYPE QUANTUM FIELD THEORIES IN PARTICLE PHYSICS
- Heat kernels and zeta functions on fractals
- Statistical Mechanics and Quantum Fields on Fractals
- Wave Equations in Higher Dimensions
- Hořava–Lifshitz cosmology: a review
- Spectral zeta functions of fractals and the complex dynamics of polynomials
- Spectral dimension and Bohr's formula for Schrödinger operators on unbounded fractal spaces
- CONFORMALITY LOST
- One-dimensional Bose gas driven by a slow time-dependent harmonic trap
- Asymptotic Safety, Fractals, and Cosmology
- Quantum Einstein gravity
- Singular potentials in nonrelativistic quantum mechanics
- Singular Potentials
- Scattering theory
- The three-body problem with short-range interactions
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