The Hyperbolic Heisenberg and Sigma Models in (1+1)-dimensions

نویسنده

  • A. E. Winn
چکیده

Hyperbolic versions of the integrable (1+1)-dimensional Heisenberg Ferromagnet and sigma models are discussed in the context of topological solutions classifiable by an integer ‘winding number’. Some explicit solutions are presented and the existence of certain classes of such winding solutions examined.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Pivotal Model for the (1 + 1)-Dimensional Heisenberg and Sigma Models

An integrable interpolative (Pivotal) model for the (1 + 1)-dimensional Hyperbolic Heisenberg and Hyperbolic sigma models is proposed and some solutions classifiable by an integer winding number examined.

متن کامل

FANCY AND FACTS IN THE (d - 2) EXPANSION OF NON-LINEAR SIGMA MODELS

We review the existing results on the scaling dimensions of operators with more than two derivatives in the non-linear sigma models. We argue that the speculations on the relevance of these operators, and correspondingly on the breakdown of the (d−2) expansion for the classical Heisenberg model, or for the one-parameter scaling theory of localization, are based on a dubious mathematical analysi...

متن کامل

Monte Carlo studies of antiferromagnetic spin models in three dimensions

The study of antiferromagnetic models (AFM) may give us some insights on the formulation of non trivial relativistic quantum field theories, as they present a very rich phase space and, presumably, new universality classes [1]. They are also interesting as related with models describing high temperature superconductors [2]; the two dimensional quantum Heisenberg antiferromagnet in the low tempe...

متن کامل

Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions

— Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H2, the two-hyperboloid with isometry group SU(1,1), and prove that in three dimensions moments of the fields are finite in the thermodynamic limit. Thus the non-compact symmetry SU(1,1) is spontaneously broken. The bound...

متن کامل

Information metric on instanton moduli spaces in nonlinear sigma models.

We study the information metric on instanton moduli spaces in two-dimensional nonlinear sigma models. In the CP1 model, the information metric on the moduli space of one instanton with the topological charge Q=k(k > or =1) is a three-dimensional hyperbolic metric, which corresponds to Euclidean anti-de Sitter space-time metric in three dimensions, and the overall scale factor of the information...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998