/ 97 09 16 8 v 1 2 3 Se p 19 97 Zero curvature representation for classical lattice sine - Gordon equation via quantum R - matrix
نویسنده
چکیده
Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and classical r-matrix.
منابع مشابه
ar X iv : h ep - t h / 97 09 16 8 v 2 1 1 O ct 1 99 7 Zero curvature representation for classical lattice sine - Gordon equation via quantum R - matrix
Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and cl...
متن کاملNoncommutative Sine-gordon Model Extremizing the Sine-gordon Action
As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1)×U(1). The result are novel noncommutative sine-Gordon equa...
متن کاملar X iv : h ep - l at / 9 70 91 07 v 1 2 4 Se p 19 97 1 Yang - Mills classical solutions and fermionic zero modes from lattice calculations ∗
We study a series of problems in classical Yang-Mills theories using lattice methods. We first investigate SU(N) self-dual configurations on the torus with twisted boundary conditions. We also study the zero modes of the Dirac equation in topological non-trivial background Yang-Mills fields.
متن کامل1 99 9 Coulomb systems at low density
Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system – Debye-Hückel screening – is compared and contrasted with the quantum case where strong arguments are presented for the absence of exponential screening. Results and techniques for detail...
متن کاملar X iv : h ep - t h / 97 09 10 7 v 2 2 2 Se p 19 97 1 Notes on Matrix and Micro Strings ∗
We review some recent developments in the study of M-theory compactifications via Matrix theory. In particular we highlight the appearance of IIA strings and their interactions, and explain the unifying role of the M-theory five-brane for describing the spectrum of the T 5 compactification and its duality symmetries. The 5+1-dimensional micro-string theory that lives on the fivebrane world-volu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997