Quantum Hall bilayers and the chiral sine-Gordon equation
نویسندگان
چکیده
منابع مشابه
Quantum Hall Bilayers and the Chiral Sine-Gordon Equation
The edge state theory of a class of symmetric double-layer quantum Hall systems with interlayer electron tunneling reduces to the sum of a free field theory and a field theory of a chiral Bose field with a self-interaction of the sine-Gordon form. We argue that the perturbative renormalization group flow of this chiral sine-Gordon theory is distinct from the standard (non-chiral) sine-Gordon th...
متن کاملGeneralized solution of Sine-Gordon equation
In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.
متن کاملChiral Potts model as a discrete quantum sine-Gordon model
Helen Au-Yang Eigenvectors of the superintegrable chiral Potts model We show that the eigenspaces of eigenvalues (1−ωt)+ω(1− t) of the τ2(t) matrix of size N×N are degenerate. In the Q = 0 case, it has 2 independent eigenvectors, where r = L(N − 1)/N and L is chosen to be a multiple of N . They can be written in terms of the generators of r simple sl2 algebras, E±m and Hm (m = 1, · · · , r). Ne...
متن کاملExact solutions to the sine-Gordon equation
A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable x and the temporal variable t, and they are exponentially asymptotic to integer multiples of 2π as x → ±∞. The solution formulas are expressed explicitly in terms of a real triplet of constant matrices. The method p...
متن کاملgeneralized solution of sine-gordon equation
in this paper, we are interested to study the sine-gordon equation in generalized functions theory introduced by colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the colombeau algebra). then we study the association concept with the classical solution.
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: Nuclear Physics B
سال: 2000
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(99)00658-6