15,535 research outputs found
Quantum Inverse Scattering Method and (Super)Conformal Field Theory
In this paper we consider the possibility of application of the quantum
inverse scattering method for studying the superconformal field theory and it's
integrable perturbations. The classical limit of the considered constructions
is based on super-KdV hierarchy. The quantum counterpart of
the monodromy matrix corresponding to the linear problem associated with the
L-operator is introduced. Using the explicit form of the irreducible
representations of , the ``fusion relations'' for the
transfer-matrices (i.e. the traces of the monodromy matrices in different
representations) are obtained.Comment: LaTeX2e, 15 pages, Theor. Math. Phys., 2005, in pres
Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation
Using the group-theoretical approach to the inverse scattering method the
supersymmetric Korteweg-de Vries equation is obtained by application of the
Drinfeld-Sokolov reduction to osp(1|2) loop superalgebra. The direct and
inverse scattering problems are discussed for the corresponding Lax pair.Comment: LaTeX2e, 19 pages, Zapiski Nauchnih Seminarov POMI (Steklov
Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. : Journal of
Math. Sci., Kluwer, in pres
Non-perturbative quantum time evolution on the light-front
This paper introduces "time-dependent basis light-front quantization", which
is a covariant, nonperturbative, and first principles numerical approach to
time-dependent problems in quantum field theory. We demonstrate this approach
by evaluating photon emission from an electron in a strong, time and space
dependent external field. We study the acceleration of the electron in
combination with the evolution of the invariant mass of the electron-photon
system, in real time and at the amplitude level. Successive excitations of the
electron-photon system are evident.Comment: 7 pages, 3 figures. To appear in Physics Letters
Nonperturbative Quantum Field Evolution
We introduce a nonperturbative, first-principles approach to time-dependent
problems in quantum field theory. In this approach, the time-evolution of
quantum field configurations is calculated in real time and at the amplitude
level. This method is particularly suitable for treating systems interacting
with a time-dependent background field. As a test problem, we apply this
approach to QED and study electron acceleration and the associated photon
emission in a time- and space-dependent electromagnetic background field.Comment: 6 pages, 3 figues, proceeding of the Lightcone 2013 conference
(Skiathos, Greece, May 20-24, 2013
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