76 citations · 635 across the 44 of their papers we have counts for
10 papers · 1 filter
Holographic interpretation of two-dimensional O(N) models coupled to quantum gravity
Wolfhard Janke, Adriaan M. J. Schakel
Various two-dimensional O(N) models coupled to Euclidean quantum gravity, whose intrinsic dimension is four, are shown to belong to universality classes of nongravitating statistic…
Critical Loop Gases and the Worm Algorithm
Wolfhard Janke, Thomas Neuhaus, Adriaan M. J. Schakel
The loop gas approach to lattice field theory provides an alternative, geometrical description in terms of fluctuating loops. Statistical ensembles of random loops can be efficient…
Geometric Properties of the Three-Dimensional Ising and XY Models
Frank Winter, Wolfhard Janke, Adriaan M. J. Schakel
The fractal structure of high-temperature graphs of the three-dimensional Ising and XY models is investigated by simulating these graphs directly on a cubic lattice and analyzing t…
Two-Dimensional Critical Potts and its Tricritical Shadow
Wolfhard Janke, Adriaan M. J. Schakel
These notes give examples of how suitably defined geometrical objects encode in their fractal structure thermal critical behavior. The emphasis is on the two-dimensional Potts mode…
Spacetime Approach to Phase Transitions
Wolfhard Janke, Adriaan M. J. Schakel
In these notes, the application of Feynman's sum-over-paths approach to thermal phase transitions is discussed. The paradigm of such a spacetime approach to critical phenomena is p…
Anomalous Scaling and Fractal Dimensions
Wolfhard Janke, Adriaan M. J. Schakel
The relation between critical exponents, characterizing a continuous phase transition, and the fractal structure of physical lines, proliferating at the critical point, is establis…