A review of the loop algorithm, its generalizations, and its relation to some other Monte Carlo
techniques is given. The loop algorithm is a quantum Monte Carlo procedure that employs …

Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are
characterized by an anisotropy exponent θ or a dynamical exponent z. For a given value of θ …

The free Schrödinger equation with mass M can be turned into a non-massive Klein–Gordon
equation via Fourier transformation with respect to M. The kinematic symmetry algebra sch d …

In a variety of systems which exhibit aging, the two-time response function scales as R (t,
s)≈ s− 1− af (t/s). We argue that dynamical scaling can be extended towards conformal …

An introduction to the theory of critical behavior at Lifshitz points is given, and the recent
progress made in applying the field-theoretic renormalization group (RG) approach to $\phi …

This paper reviews the history of the conformal extension of Galilean symmetry, now called
Schr\" odinger symmetry. In the physics literature, its discovery is commonly attributed to …

Using the corner-transfer matrix renormalization group approach, we revisit the three-state
chiral Potts model on the square lattice, a model proposed in the eighties to describe …

Field-theoretic renormalization-group methods are developed to describe in a unified
fashion the critical exponents of an m-fold Lifshitz point at the two-loop order in the …

Magnetic frustrations and dimensionality play an important role in determining the nature of
the magnetic long-range order and how it melts at temperatures above the ordering …

The three-dimensional axial next-nearest-neighbor Ising model is studied by a modified
tensor product variational approach. A global phase diagram is constructed with numerous …