Non-hermitian random matrix models

RA Janik, MA Nowak, G Papp, I Zahed - Nuclear Physics B, 1997 - Elsevier
We introduce an extension of the diagrammatic rules in random matrix theory and apply it to
non-hermitian random matrix models using the 1/N approximation. A number of one-and two …

Exploring Lee-Yang and Fisher zeros in the 2D Ising model through multipoint Padé approximants

S Singh, M Cipressi, F Di Renzo - Physical Review D, 2024 - APS
We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model
using multipoint Padé approximants. We perform simulations for the 2D Ising model with …

Infrared zero of and value of for an SU(3) gauge theory at the five-loop level

TA Ryttov, R Shrock - Physical Review D, 2016 - APS
We calculate the value of the coupling at the infrared zero of the beta function of an
asymptotically free SU (3) gauge theory at the five-loop level as a function of the number of …

Unconventional phase transitions in a constrained single polymer chain

LI Klushin, AM Skvortsov - Journal of Physics A: Mathematical …, 2011 - iopscience.iop.org
Phase transitions were recognized among the most fascinating phenomena in physics.
Exactly solved models are especially important in the theory of phase transitions. A number …

Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros

H Feldmann, AJ Guttmann, I Jensen… - Journal of Physics A …, 1998 - iopscience.iop.org
We present and analyse low-temperature series and complex-temperature partition function
zeros for the q-state Potts model with q= 4 on the honeycomb lattice and q= 3, 4 on the …

Yang-Lee zeros for real-space condensation

Z Burda, DA Johnston, M Kieburg - Physical Review E, 2025 - APS
Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero
distribution in the random allocation model of general weights. This exhibits a real-space …

Exact Potts model partition functions on ladder graphs

R Shrock - Physica A: Statistical Mechanics and its Applications, 2000 - Elsevier
We present exact calculations of the partition function Z of the q-state Potts model and its
generalization to real q, for arbitrary temperature on n-vertex ladder graphs, ie, strips of the …

On the singularity structure of the 2D Ising model susceptibility

B Nickel - Journal of Physics A: Mathematical and General, 1999 - iopscience.iop.org
Some simplifications of the integrals (2n+ 1), derived by Wu et al (1976 13 316), that
contribute to the zero field susceptibility of the 2D square lattice Ising model are reported. In …

Type I superconductivity upon monopole condensation in Seiberg–Witten theory

A Vainshtein, A Yung - Nuclear Physics B, 2001 - Elsevier
We study the confinement scenario in N= 2 supersymmetric SU (2) gauge theory near the
monopole point upon breaking of N= 2 supersymmetry by the adjoint matter mass term. We …

Spanning forests and the q-state Potts model in the limit q→ 0

JL Jacobsen, J Salas, AD Sokal - Journal of statistical physics, 2005 - Springer
We study the q-state Potts model with nearest-neighbor coupling v= e βJ− 1 in the limit q, v→
0 with the ratio w= v/q held fixed. Combinatorially, this limit gives rise to the generating …