Diffraction Scattering in Quantum Chromodynamics
The infrared problem in quantum chromodynamics is studied in order to elucidate aspects of high energy behavior. The integro-differential equation of Cornwall and Tiktopoulos is used to investigate quark-quark scattering in the limit λ → 0 (λ being the gluon regulator mass), s → ∞ with t fixed. The solution displays the infrared factors explicitly. When this formula is expanded in power series and the leading ℓog is extracted one recovers the perturbation theory calculations to sixth order. Having argued that the infrared singular terms in the equation are independent of the renormalization mass M, asymptotic freedom can be used to evaluate the remainder. Some remarks are made on the scattering of color-singlet quark clusters with a view towards solving the physical problem.
KeywordsQuantum CHROMODYNAMICS Infrared Singularity Gluon Mass Diffraction Scattering Color Operator
Unable to display preview. Download preview PDF.
- 2.L. Tyburski (Univ. of Illinois preprint, to be published).Google Scholar
- 3.B. M. McCoy and T. T. Wu, Phys, Rev. D12, 3257 (1975) and to be published.Google Scholar
- 4.C. Y. Lo and H. Cheng (M. I. T. preprint, to be published).Google Scholar
- 5.E. Poggio and H. R. Quinn, Phys. Rev. D12, 3279 (1975).Google Scholar
- 6.J. M. Cornwall and G. Tiktopoulos, Phys. Rev. Letters and UCLA preprint (to be published).Google Scholar
- 7.C. P. Korthals Altes and E. de Rafael (to be published).Google Scholar
- 9.The perturbation results were given in the case of a local SU2 gauge symmetry. In our approach it is elementary to change from SU2 to SU3. Google Scholar
- 10.For a description of the Rytov method, see L. Chernov “Wave Propagation in a Random Medium” McGraw-Hill Book Co., New York, N.Y. 1960.Google Scholar
- 11.W. H. Munk and F. Zachariasen, JASA, to be published.Google Scholar
- 12.The results of refs. 2–4 were given in terms of certain integrals K.(t). We have evaluated these integrals for small X in order to compare with our equations.Google Scholar
- 13.M. Grisaru, H. J. Schnitzer, and H. Tsao, Phys. Rev. Letters 30, 811 (1973). It is worth remarking that in the limit λ→0, the vector meson no longer lies on the Regge trajectory so generated. When λ→0, the trajectory function a(t),far from being one, is singular at t = 0.Google Scholar