Deriving boundary S matrices
نویسنده
چکیده
We show how to derive exact boundary S matrices for integrable quantum field theories in 1+1 dimensions using lattice regularization. We do this calculation explicitly for the sine-Gordon model with fixed boundary conditions using the Bethe ansatz for an XXZtype spin chain in a boundary magnetic field. Our results agree with recent conjectures of Ghoshal and Zamolodchikov, and indicate that the only solutions to the Bethe equations which contribute to the scaling limit are the standard strings.
منابع مشابه
A Common Weight Multi-criteria Decision analysis-data Envelopment Analysis Approach with Assurance Region for Weight Derivation from Pairwise Comparison Matrices
Deriving weights from a pairwise comparison matrix (PCM) is a subject for which a wide range of methods have ever been presented. This paper proposes a common weight multi criteria decision analysis-data envelopment analysis (MCDA-DEA) approach with assurance region for weight derivation from a PCM. The proposed model has several merits over the competing approaches and removes the drawbacks of...
متن کاملNew enumeration formulas for alternating sign matrices and square ice partition functions
The refined enumeration of alternating sign matrices (ASMs) of given order having prescribed behavior near one or more of their boundary edges has been the subject of extensive study, starting with the Refined Alternating Sign Matrix Conjecture of Mills-Robbins-Rumsey [25], its proof by Zeilberger [31], and more recent work on doublyrefined and triply-refined enumeration by several authors. In ...
متن کاملA Hierarchy of Boundary-based Shape Descriptors
In this paper we extend previous work on the boundary-based approach to describing shape, by deriving an unbounded hierarchy of “atomic” shape descriptors (called tokens) based on tangent bearing and its successive derivatives, and incorporating angle and cusp curve features. Both open and closed curves have token-string descriptions at all levels in the hierarchy. We provide a pair of compatib...
متن کاملAutomatic formulation of falling multiple flexible-link robotic manipulators using 3×3 rotational matrices
In this paper, the effect of normal impact on the mathematical modeling of flexible multiple links is investigated. The response of such a system can be fully determined by two distinct solution procedures. Highly nonlinear differential equations are exploited to model the falling phase of the system prior to normal impact; and algebraic equations are used to model the normal collision of this ...
متن کاملManifolds with a Boundary and Their Trans- Formations*
This is the continuation of the paper which appeared in the January, 1926, number of these Transactions.! Its chief object is to extend to an Mn with a boundary the results already obtained for transformations of manifolds without boundary. To these already treated in full we devote a few pages chiefly to elucidate and simplify certain points of importance for the extension. We have succeeded i...
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 1994