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In theoretical physics, the scaling dimension, or simply dimension, of a local operator in a quantum field theory characterizes the rescaling properties...

exponents can be computed from conformal field theory. See also anomalous scaling dimension. Critical exponents also exist for self organized criticality...

Ido; Davidson, Nir (2012). "Observation of Anomalous Diffusion and Fractional Self-Similarity in One Dimension". Physical Review Letters. 108 (9): 093002...

known as anomalous scaling dimensions. The φ4 theory example above demonstrates that the coupling parameters of a quantum field theory can be scale-dependent...

fractal dimension rests in unconventional views of scaling and dimension. As Fig. 4 illustrates, traditional notions of geometry dictate that shapes scale predictably...

for the upper critical dimension. Naive scaling at the level of the Lagrangian does not directly correspond to physical scaling because a cutoff is required...

{\sqrt {Z}}} . A scale dependent wave function renormalization for a field means that that field has an anomalous scaling dimension. Renormalization v t e...

up. Anomaly (physics) Charge (physics) Central charge Anomalous scaling dimension Dimensional transmutation Ferreira, Pedro G.; Hill, Christopher T.;...

null conformal dimension. However, there is no metric space quasisymmetric to K with a 0 Hausdorff dimension. Anomalous scaling dimension John M. Mackay...

small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated...

Anomalous experiences, such as so-called benign hallucinations, may occur in a person in a state of good mental and physical health, even in the apparent...

J, Jordan G, Mollon J (December 2005). "Multidimensional scaling reveals a color dimension unique to 'color-deficient' observers". Current Biology. 15...

introduced in the early 2000s together with the Examination of Anomalous Self-Experience (EASE) scale, which is used to measure the presence and severity of self-disorder...

on a length scale much shorter than a typical equilibrium length scale. Parker was in attendance at this conference and developed scaling relations for...

variance scaling, but is not needed for longtime memory. E.g., both Markov processes (i.e., memory-free processes) and fractional Brownian motion scale at the...

its initial position. Based on Eq. (20), we write a generalized scaling law for anomalous files of independent particles: The first term on the right hand...

level precisely at the Dirac point. This level is responsible for the anomalous integer quantum Hall effect. Transmission electron microscopy (TEM) images...

Rowlands, G.; Sprott, J. C. (2008). "A simple diffusion model showing anomalous scaling". Physics of Plasmas. 15 (8): 082308. Bibcode:2008PhPl...15h2308R...

superconformal field theory. For a superconformal field theory, the anomalous scaling dimension of a chiral superfield D = 3 2 R {\displaystyle D={\frac {3}{2}}R}...

}\quad {\text{if }}\theta <\alpha .} The exponential scaling of the step lengths gives Lévy flights a scale invariant property,[citation needed] and they are...