Lower bounds and series for the ground-state entropy of the Potts antiferromagnet on Archimedean lattices and their duals

R Shrock, SH Tsai - Physical Review E, 1997 - APS
We prove a general rigorous lower bound for W (Λ, q)= exp [S 0 (Λ, q)/k B], the exponent of
the ground-state entropy of the q-state Potts antiferromagnet, on an arbitrary Archimedean …

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 …

Anomalous dimensions at an infrared fixed point in an SU() gauge theory with fermions in the fundamental and antisymmetric tensor representations

TA Ryttov, R Shrock - Physical Review D, 2023 - APS
We present scheme-independent calculations of the anomalous dimensions γ ψ¯ ψ, IR and
γ χ¯ χ, IR of fermion bilinear operators ψ¯ ψ and χ¯ χ at an infrared fixed point in an …

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 …

[HTML][HTML] q-plane zeros of the Potts partition function on diamond hierarchical graphs

SC Chang, RKW Roeder, R Shrock - Journal of Mathematical Physics, 2020 - pubs.aip.org
We report exact results concerning the zeros of the partition function of the Potts model in the
complex q-plane, as a function of a temperature-like Boltzmann variable v, for the m-th …

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 …

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 …

Self-consistent scaling theory for logarithmic-correction exponents

R Kenna, DA Johnston, W Janke - Physical review letters, 2006 - APS
Multiplicative logarithmic corrections frequently characterize critical behavior in statistical
physics. Here, a recently proposed theory relating the exponents of such terms is extended …

Physics of the non-Abelian Coulomb phase: Insights from Padé approximants

TA Ryttov, R Shrock - Physical Review D, 2018 - APS
We consider a vectorial, asymptotically free SU (N c) gauge theory with N f fermions in a
representation R having an infrared (IR) fixed point. We calculate and analyze Padé …