129 citations · 1.6k across the 77 of their papers we have counts for
8 papers · 1 filter
Finite Size Scaling for O(N) phi^4-Theory at the Upper Critical Dimension
R. Kenna
A finite size scaling theory for the partition function zeros and thermodynamic functions of O(N) phi^4-theory in four dimensions is derived from renormalization group methods. The…
New methods to measure phase transition strength
Wolfhard Janke, Des Johnston, Ralph Kenna
A recently developed technique to determine the order and strength of phase transitions by extracting the density of partition function zeroes (a continuous function) from finite-s…
Phase transition strengths from the density of partition function zeroes
Wolfhard Janke, Ralph Kenna
We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. This allows direct determination of the order and st…
The Phase Structure of the Weakly Coupled Lattice Schwinger Model
R. Kenna, C. Pinto, J. C. Sexton
The weak coupling expansion is applied to the single flavour Schwinger model with Wilson fermions on a symmetric toroidal lattice of finite extent. We develop a new analytic method…
Singular Behaviour of the Potts Model in the Thermodynamic Limit
Ralph Kenna
The self-duality transformation is applied to the Fisher zeroes near the critical point in the thermodynamic limit in the q>4 state Potts model in two dimensions. A requirement tha…
The Kosterlitz-Thouless Universality Class
R. Kenna, A. C. Irving
We examine the Kosterlitz-Thouless universality class and show that essential scaling at this type of phase transition is not self-consistent unless multiplicative logarithmic corr…