Geometry and field theory in multi-fractional spacetime
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Publication:2261439
DOI10.1007/JHEP01(2012)065zbMath1306.83018arXiv1107.5041WikidataQ64007702 ScholiaQ64007702MaRDI QIDQ2261439
Publication date: 6 March 2015
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.5041
Quantization of the gravitational field (83C45) Fractals (28A80) Symmetries and conservation laws in mechanics of particles and systems (70S10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Uses Software
Cites Work
- Spectral analysis on infinite Sierpiński fractafolds
- Quantum field theory, gravity and cosmology in a fractal universe
- On the renormalization of theories of a scalar chiral superfield
- Space-time grains: roots of special and doubly special relativity
- Mittag-Leffler functions and their applications
- Liouville quantum gravity and KPZ
- Gauge invariance in fractional field theories
- Relativistic wave equations with fractional derivatives and pseudodifferential operators
- Scale relativity and fractal space-time: theory and applications
- Quantum field-theory models on fractal spacetime. I: Introduction and overview. II: Hierarchical propagators
- The infinite number of generalized dimensions of fractals and strange attractors
- Lorentz violation at high energy: concepts, phenomena, and astrophysical constraints
- Spectral asymptotics for Laplacians on self-similar sets
- Modern tests of Lorentz invariance
- Space-time fractional Schrödinger equation with time-independent potentials
- Fractional vector calculus and fractional Maxwell's equations
- Fractional integrals and fractal structure of memory sets
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- The spectral dimension of the branched polymer phase of two-dimensional quantum gravity
- Waves on fractal-like manifolds and effective energy propagation
- Discrete approaches to quantum gravity in four dimensions
- Integrals and derivatives on net fractals.
- The quantum space-time of \(c=-2\) gravity
- Scaling in quantum gravity
- Punctuated vortex coalescence and discrete scale invariance in two-dimensional turbulence
- The spectral dimension of \(2\)D quantum gravity
- Non-perturbative renormalization flow in quantum field theory and statistical physics
- An improved multifractal formalism and self-similar measures
- Formulation of Euler-Lagrange equations for fractional variational problems
- The differentiability in the fractional calculus.
- A note on the diamond fractal
- Scaling in four-dimensional quantum gravity
- On the fractal structure of two-dimensional quantum gravity
- Multifractal formalism for infinite multinomial measures
- Classical and quantum mechanics of free \(\kappa\)-relativistic systems
- New quantum Poincaré algebra and \(\kappa\)-deformed field theory
- Geometry of fractional spaces
- Ultraviolet stable fixed point and scaling relations in \((2+\epsilon)\)-dimensional quantum gravity
- Fractional integral associated to the self-similar set or the generalized self-similar set and its physical interpretation
- Formulation of Hamiltonian equations for fractional variational problems.
- Chaos in a fractional order logistic map
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- The spectral dimension of generic trees
- Fractional dynamics and the TeV regime of field theory
- Stochastic quantization of nonlocal fields
- Stochastic calculus for fractional Brownian motion and related processes.
- Wavelet-based quantum field theory
- Scale-dependent functions, stochastic quantization and renormalization
- Super-renormalizable or finite Lee-Wick quantum gravity
- CHANGE OF DIMENSIONS IN CANONICAL PURE GRAVITY VIA NON-UNITARITY
- Fractional differential forms
- Continuum random combs and scale-dependent spectral dimension
- Asymptotics for Functions Associated with Heat Flow on the Sierpinski Carpet
- Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?
- Equations of motion in a non-integer-dimensional space
- Random walks on combs
- Fractal spacetime from the area spectrum
- LIOUVILLE AND BOGOLIUBOV EQUATIONS WITH FRACTIONAL DERIVATIVES
- Fractional Israel layers
- Fractional embedding of differential operators and Lagrangian systems
- Generalized fractional Schrödinger equation with space-time fractional derivatives
- Spectral zeta functions of fractals and the complex dynamics of polynomials
- GENERALIZING THE NOETHER THEOREM FOR HOPF-ALGEBRA SPACETIME SYMMETRIES
- Fractal measures and their singularities: The characterization of strange sets
- Random walks with self-similar clusters
- Axiomatic basis for spaces with noninteger dimension
- Interprétation géométrique de la différentiabilité et du gradient d'ordre réel
- Fractional integral associated to generalized cookie-cutter set and its physical interpretation
- Fractafolds based on the Sierpinski gasket and their spectra
- Nonconservative Lagrangian mechanics: a generalized function approach
- Comparison of relativity theories with observer-independent scales of both velocity and length/mass
- The spectral dimension of random trees
- Fractal structure of two-dimensional gravity coupled to c=-2 matter
- Renormalization group theory of anomalous transport in systems with Hamiltonian chaos
- Dimension and dimensional reduction in quantum gravity
- HOPF-ALGEBRA DESCRIPTION OF NONCOMMUTATIVE-SPACE–TIME SYMMETRIES
- RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
- DIMENSION OF SPACE-TIME
- DOUBLY SPECIAL RELATIVITY VERSUS κ-DEFORMATION OF RELATIVISTIC KINEMATICS
- Time fractional Schrödinger equation
- Dynamical triangulations, a gateway to quantum gravity?
- Gravitational fluctuations of the galaxy distribution
- LOCAL SPIN FOAMS
- Fractional generalization of gradient and Hamiltonian systems
- Spectral operators on the Sierpinski gasket I
- Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
- The spectral dimension of random brushes
- Hamilton–Jacobi formulation of systems within Caputo's fractional derivative
- A CYCLIC INTEGRAL ON κ-MINKOWSKI NONCOMMUTATIVE SPACE–TIME
- Renormalization
- Fractal Geometry, Complex Dimensions and Zeta Functions
- Fractional actionlike variational problems
- Breakdown of Lorentz Invariance
- Fractional Derivatives of Imaginary Order
- On a Theorem of Schur and On Fractional Integrals of Purely Imaginary Order
- The generalized multifractional Brownian motion
- Exact renormalization group equations: an introductory review
- Testable scenario for relativity with minimum length
- Determination of memory function and flux on fractals
- Deformed boost transformations that saturate at the Planck scale
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