63,333 research outputs found
The couplings derived from QCD sum rules
The light cone QCD sum rules are derived for vector and tensor
couplings simultaneously. The vacuum gluon field contribution is taken into
account. Our results are .Comment: To appear in Phys. Rev. C (Brief Report
Forward-Backward Doubly Stochastic Differential Equations with Random Jumps and Stochastic Partial Differential-Integral Equations
In this paper, we study forward-backward doubly stochastic differential
equations driven by Brownian motions and Poisson process (FBDSDEP in short).
Both the probabilistic interpretation for the solutions to a class of
quasilinear stochastic partial differential-integral equations (SPDIEs in
short) and stochastic Hamiltonian systems arising in stochastic optimal control
problems with random jumps are treated with FBDSDEP. Under some monotonicity
assumptions, the existence and uniqueness results for measurable solutions of
FBDSDEP are established via a method of continuation. Furthermore, the
continuity and differentiability of the solutions of FBDSDEP depending on
parameters is discussed. Finally, the probabilistic interpretation for the
solutions to a class of quasilinear SPDIEs is given
A Class of Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients
In this work the existence of solutions of one-dimensional backward dou- bly
stochastic differential equations (BDSDEs in short) where the coefficient is
left-Lipschitz in y (may be discontinuous) and Lipschitz in z is studied. Also,
the associated comparison theorem is obtained.Comment: 15 page
The Equivalence between Uniqueness and Continuous Dependence of Solution for BDSDEs
In this paper, we prove that, if the coefficient f = f(t; y; z) of backward
doubly stochastic differential equations (BDSDEs for short) is assumed to be
continuous and linear growth in (y; z); then the uniqueness of solution and
continuous dependence with respect to the coefficients f, g and the terminal
value are equivalent.Comment: 11 page
coupling constant
We calculate the coupling
using light cone QCD sum rule. Our result is
.Comment: RevTex, 5 pages + 1 PS figur
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