Concept

Scaling dimension

Publications associées (59)

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Conformal Invariance of Spin Pattern Probabilities in the Planar Ising Model

Clément Hongler, Sung Chul Park

We study the 2-dimensional Ising model at critical temperature on a smooth simply-connected graph Ω.We rigorously prove the conformal invariance of arbitrary spin-pattern probabilities centered at a point a and derive formulas to compute the probabilities ...

2015

The local Callan-Symanzik equation: structure and applications

Riccardo Rattazzi, Boaz Keren Zur, Lorenzo Vitale, Florent Baume

The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among t ...

Springer2014

Scaling in the quantum Hall regime of graphene Corbino devices

Klaus Kern, Marko Burghard, Eva Carmen Peters

The scaling behavior of graphene devices in Corbino geometry was investigated through temperature dependent conductivity measurements under magnetic field. Evaluation of the Landau level width as a function of temperature yielded a relatively low temperatu ...

Amer Inst Physics2014

Solute and sediment transport at laboratory and field scale: Contributions of J.-Y. Parlange

David Andrew Barry, Seifeddine Jomaa

We explore selected aspects of J.-Y. Parlange’s contributions to hydrological transport of solutes and sediments, including both the laboratory and field scales. At the laboratory scale, he provided numerous approximations for solute transport accounting f ...

American Geophysical Union2013

Scaling of conductivity and Young’s modulus in replicated microcellular materials

Andreas Mortensen, Andreas Rossoll, Yves Conde

Scaling exponents for the conductivity and stiffness of replicated microcellular materials exceed commonly predicted values of 1 and 2. We show here that this is caused by the fact that, in replicated microcellular materials, the solid architecture varies ...

Springer US2013

Spontaneously broken scale invariance and minimal fields of canonical dimensionality

Alexander Monin

We address the question whether a scale invariant theory can contain interacting minimal fields of canonical dimensionality. It is known that the answer to this question is negative provided the scale symmetry is respected by the ground state. We present a ...

Amer Physical Soc2013

Conformal Regge theory

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave expansion in Mellin spa ...

Springer2012

A unified framework for non-Brownian suspension flows and soft amorphous solids

Matthieu Wyart

While the rheology of non-Brownian suspensions in the dilute regime is well understood, their behavior in the dense limit remains mystifying. As the packing fraction of particles increases, particle motion becomes more collective, leading to a growing leng ...

2012

Cubic interactions and quantum criticality in dimerized antiferromagnets

Sandro Wenzel

In certain Mott-insulating dimerized antiferromagnets, triplet excitations of the paramagnetic phase display both three-particle and four-particle interactions. When such a magnet undergoes a quantum phase transition into a magnetically ordered state, the ...

2011

Spinning conformal correlators

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary polarization vectors. The ...

Springer2011