13,680 research outputs found
Closed Expressions for Lie Algebra Invariants and Finite Transformations
A simple procedure to obtain complete, closed expressions for Lie algebra
invariants is presented. The invariants are ultimately polynomials in the group
parameters. The construction of finite group elements require the use of
projectors, whose coefficients are invariant polynomials. The detailed general
forms of these projectors are given. Closed expressions for finite Lorentz
transformations, both homogeneous and inhomogeneous, as well as for Galilei
transformations, are found as examples.Comment: 34 pages, ps file, no figure
QCD and QED Corrections to Light-by-Light Scattering
We present the QCD and QED corrections to the fermion-loop contributions to
light-by-light scattering, gamma gamma to gamma gamma, in the ultrarelativistic
limit where the kinematic invariants are much larger than the masses of the
charged fermions.Comment: 17 pages, 3 figure files, JHEP styl
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