Quantum structure of the non-Abelian Weizsäcker-Williams field for a very large nucleus
نویسنده
چکیده
We consider the McLerran-Venugopalan model for calculation of the small-x part of the gluon distribution function for a very large ultrarelativistic nucleus at weak coupling. We construct the Feynman diagrams which correspond to the classical Weizsäcker-Williams field found previously [Yu. V. Kovchegov, Phys. Rev. D 54, 5463 (1996)] as a solution of the classical equations of motion for the gluon field in the light-cone gauge. Analyzing these diagrams we obtain a limit for the McLerran-Venugopalan model. We show that as long as this limit is not violated a classical field can be used for calculation of scattering amplitudes.
منابع مشابه
The Gluon Propagator in non–Abelian Weizsäcker–Williams Fields
We carefully compute the gluon propagator in the background of a non–Abelian Weizsäcker–Williams field. This background field is generated by the valence quarks in very large nuclei. We find contact terms in the small fluctuation equations of motion which induce corrections to a previously incorrect result for the gluon propagator in such a background field. The well known problem of the Hermit...
متن کاملNon-Abelian Weizsäcker-Williams field and a two-dimensional effective color charge density for a very large nucleus.
We consider a very large ultra-relativistic nucleus. Assuming a simple model of the nucleus and weak coupling we find a classical solution for the gluon field of the nucleus and construct the twodimensional color charge density for McLerran-Venugopalan model out of it. We prove that the density of states distribution, as a function of color charge density, is Gaussian, confirming the assumption...
متن کاملQuantum Error-Correction Codes on Abelian Groups
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
متن کاملTHE AUTOMORPHISM GROUP OF NON-ABELIAN GROUP OF ORDER p^4
Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G) , of the automorphism group of G.
متن کاملExploring the implications of the laws and principles of quantum physics in the field of talent (quantum theory of talent)
The issue of talent-discovering is one of the most important issues in the field of education and research that has always been a concern for educational systems. Studying the issues of identifying and guiding talented students can illuminate a large part of the activities of the executors and practitioners in order to accomplish their mission effectively. On the other hand, quantum physics has...
متن کامل