How to quantize lightcone QCD
نویسنده
چکیده
We solve the problem of a quantization of the lightcone QCD. We find that boundary gauge fields are crucial for a consistent and complete quantization. By applying the symplectic Faddeev-Jackiw method, we very carefully remove unphysical degrees of freedom and obtain the true phase space and the complete Hamiltonian. The result is important for the high energy QCD evolution and for a further extension of the JIMWLK equation. Finally, we make an important note about a peculiarity of four space-time dimensions. In additional, our method sheds new light on the lightcone quantization of a scalar field.
منابع مشابه
Lightcone Quantization of String Theory Duals of Free Field Theories
We quantize in light cone gauge the bosonic sector of string theory on Anti-de Sitter space in the zero curvature radius limit. We find that the worldsheet falls apart into a theory of free partons and map the Hilbert space of the string theory to the Hilbert space of a free scalar in light-front description. We outline how the string worldsheet reproduces the field theory at weak coupling.
متن کاملMesons in transverse lattice QCD at strong coupling and large-N
I have proposed that large-N QCD, with two continuous dimensions on the lightcone and two transverse dimensions on lattice at strong coupling, can be a useful phenomenological model of certain hadronic properties [1]. This combination of large-N and strong coupling limits is chosen to obtain analytically tractable results. The largeN limit allows the use of exact results for two dimensional QCD...
متن کاملLight-Cone Quantized QCD and Novel Hadron Phenomenology
I review progress made in solving gauge theories such as collinear quantum chromodynamics using light-cone Hamiltonian methods. I also show how the lightcone Fock expansion for hadron wavefunctions can be used to compute operator matrix elements such as decay amplitudes, form factors, distribution amplitudes, and structure functions, and how it provides a tool for exploring novel features of QC...
متن کاملWave function derivation of the JIMWLK equation
We carefully rederive JIMWLK equation using lightcone perturbation theory. Rigorous treatment requires knowledge of the boosted wave function with second order accuracy. We show that in the second order calculation there are several omitted subtleties. The JIMWLK evolution equation is the important part of high energy QCD. Originally, equation was derived using path integral language [1, 2, 3] ...
متن کاملQCD factorization and CP asymmetries in hadronic B decays
We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated from first principles and expressed in terms of semileptonic form factors and lightcone distribution amplitudes. We summarize the main features of this novel ...
متن کامل