Relativistic Toda Chain
نویسندگان
چکیده
Investigated is the relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl's q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six vertex R-matrix. Both independent Baxter's Q-operators are constructed explicitly as seria over local Weyl generators. The operator-valued wronskian of Q-s is also calculated.
منابع مشابه
Different Aspects of Relativistic Toda Chain
We demonstrate that the generalization of the relativistic Toda chain (RTC) is a special reduction of two-dimensional Toda Lattice hierarchy (2DTL). We also show that the RTC is gauge equivalent to the discrete AKNS hierarchy and the unitary matrix model. Relativistic Toda molecule hierarchy is also considered, along with the forced RTC. The simple approach to the discrete RTC hierarchy based o...
متن کاملQuantum Relativistic Toda Chain
Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex R-matrix. Both independent Baxter’s Qoperators are constructed explicitly as seria over local Weyl generators. The operator-val...
متن کاملFive-Dimensional Gauge Theories and Whitham-Toda Equation
The five-dimensional supersymmetric SU(N) gauge theory is studied in the framework of the relativistic Toda chain. This equation can be embedded in two-dimensional Toda lattice hierarchy. This system has the conjugate structure. This conjugate structure corresponds to the charge conjugation.
متن کاملOn Baxter Q-operators And Their Arithmetic Implications
We consider Baxter Q-operators for various versions of quantum affine Toda chain. The interpretation of eigenvalues of the finite Toda chain Baxter operators as local Archimedean L-functions proposed recently is generalized to the case of affine Lie algebras. We also introduce a simple generalization of Baxter operators and local L-functions compatible with this identification. This gives a con...
متن کامل60 50 06 v 1 2 2 M ay 1 99 6 A new integrable system related to the relativistic Toda lattice
A new integrable lattice system is introduced, and its integrable discretization is obtained. A Bäcklund transformation between this new system and the relativistic Toda lattice is established.
متن کامل