Exact results in the theory of magnetic alloys

AM Tsvelick, PB Wiegmann - Advances in Physics, 1983 - Taylor & Francis
Recently it has been shown that many traditional models used for a description of dilute
magnetic alloys are completely integrable and may be solved exactly without any approximation. …

Theory of nonabelian Goldstone bosons in two dimensions

A Polyakov, PB Wiegmann - Physics Letters B, 1983 - Elsevier
Volume 131B, number 1,2,3 PHYSICS LETTERS 10 November 1983 THEORY OF NONABELIAN
GOLDSTONE BOSONS IN TWO DIMENSIONS A. POLYAKOV a Page 1 Volume 131B, number …

Conformal maps and integrable hierarchies

PB Wiegmann, A Zabrodin - Communications in Mathematical Physics, 2000 - Springer
We show that conformal maps of simply connected domains with an analytic boundary to a
unit disk have an intimate relation to the dispersionless 2D Toda integrable hierarchy. The …

Theta-terms in nonlinear sigma-models

AG Abanov, PB Wiegmann - Nuclear Physics B, 2000 - Elsevier
We trace the origin of θ-terms in nonlinear σ-models as a nonperturbative anomaly of current
algebras. The nonlinear σ-models emerge as a low energy limit of fermionic σ-models. The …

Goldstone fields in two dimensions with multivalued actions

AM Polyakov, PB Wiegmann - Physics Letters B, 1984 - Elsevier
We present an exact solution for the two-dimensional chiral fields with multivalued action,
and consider the relation of this theory to the CP-asymmetric Thirring model, free fermions, …

Exact solution of the Anderson model: I

PB Wiegmann, AM Tsvelick - Journal of Physics C: Solid State …, 1983 - iopscience.iop.org
The complete solution of the non-degenerate Anderson model describing the formation of
the localised moment in a metal is constructed on the basis of the Bethe ansatz method. …

Exact solution of the sd exchange model (Kondo problem)

PB Wiegmann - Journal of Physics C: Solid State Physics, 1981 - iopscience.iop.org
… 24 A 55 Tsvelik A M and Wiegmann PB 1981 to be published Wiegmann PB 1980a Pisma
v JETF31 392 - 1980b Phys. Lett. 80 A 163 Wiegmann PB and Finkelstein A M 1978a Sou. …

Superconductivity in strongly correlated electronic systems and confinement versus deconfinement phenomenon

PB Wiegmann - Physical review letters, 1988 - APS
The supersymmetrical gauge theory of strongly correlated electronic systems, based on a
geometrical approach to the quantization of the Hubbard model, is presented. It is shown that …

One-dimensional Fermi system and plane xy model

PB Wiegmann - Journal of Physics C: Solid State Physics, 1978 - iopscience.iop.org
The behaviour of correlation functions of the one-dimensional Fermi system at large distances
has been investigated by reducing it to the Sine-Gordon model. The latter is dual to the low…

Integrable structure of interface dynamics

M Mineev-Weinstein, PB Wiegmann, A Zabrodin - Physical Review Letters, 2000 - APS
Integrable Structure of Interface Dynamics Page 1 VOLUME 84, NUMBER 22 PHYSICAL
REVIEW LETTERS 29MAY 2000 Integrable Structure of Interface Dynamics Mark Mineev-Weinstein …