Haldane–Wu Statistic and Rogers Dilogarithm
نویسندگان
چکیده
منابع مشابه
Sums of Series of Rogers Dilogarithm Functions
Some sums of series of Rogers dilogarithm functions are established by Abel’s functional equation.
متن کاملDilogarithm in Integrable Systems
We discuss some curious aspects of the Rogers dilogarithm appearing in integrable systems in two dimensions.
متن کاملAlgebraic Cycles and Additive Dilogarithm
For an algebraically closed field k of characteristic 0, we give a cycle-theoretic description of the additive 4-term motivic exact sequence associated to the additive dilogarithm of J.-L. Cathelineau, that is the derivative of the Bloch-Wigner function, via the cubical additive higher Chow groups under one assumption. The 4-term functional equation of Cathelineau, an additive analogue of the A...
متن کاملThe Additive Dilogarithm
A notion of additive dilogarithm for a field k is introduced, based on the K-theory and higher Chow groups of the affine line relative to 2(0). Analogues of the K2-regulator, the polylogarithm Lie algebra, and the `-adic realization of the dilogarithm motive are discussed. The higher Chow groups of 0-cycles in this theory are identified with the Kähler differential forms Ωk. It is hoped that th...
متن کاملAde Functional Dilogarithm Identities and Integrable Models
We describe a new infinite family of multi-parameter functional equations for the Rogers dilogarithm, generalizing Abel's and Euler's formulas. They are suggested by the Thermodynamic Bethe Ansatz approach to the renormalization group flow of 2D integrable, ADE-related quantum field theories. The known sum rules for the central charge of critical fixed points can be obtained as special cases of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2005
ISSN: 1072-3374
DOI: 10.1023/b:joth.0000049566.52845.d0