Quantum field-theory models on fractal spacetime. I: Introduction and overview. II: Hierarchical propagators
From MaRDI portal
Publication:749974
DOI10.1007/BF01228344zbMath0713.58051MaRDI QIDQ749974
Publication date: 1989
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
renormalization group methodsHausdorff-Besicovitch dimensionfractal point-setsnon- Gaussian ultraviolet renormalization groupproper-time propagatorquantum field-theory models
Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
A consistent quantum field theory from dimensional reduction ⋮ Quantization of fractal systems: One-particle excitation states ⋮ Quantum field theory, gravity and cosmology in a fractal universe ⋮ The renormalization group method in statistical hydrodynamics ⋮ Ultraviolet-complete quantum field theories with fractional operators ⋮ Multifractional theories: an unconventional review ⋮ Construction of free quantum fields on nested fractal space-times ⋮ New Metrics from a Fractional Gravitational Field ⋮ Quantum scalar field theories with fractional operators ⋮ Geometry and field theory in multi-fractional spacetime ⋮ Quantum field-theory models on fractal spacetime. I: Introduction and overview. II: Hierarchical propagators ⋮ Multifractional spacetimes from the Standard Model to cosmology ⋮ Anomalous \(g\)-factors for charged leptons in a fractional coarse-grained approach
Cites Work
- The construction of Brownian motion on the Sierpinski carpet
- Quantum field-theory models on fractal spacetime. I: Introduction and overview. II: Hierarchical propagators
- Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
- Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation
- Random walk statistics on fractal structures
- Brownian motion on the Sierpinski gasket
- Phase transitions on fractal lattices with long-range interactions
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
