Four-momentum boosted Fermion fields
نویسنده
چکیده
A formulation of the fermion action is discussed which includes an explicit four momentum boost on the field prior to discretisation. This is used to shift the zero of lattice momentum to lie near one of the on-shell quark poles. The positive pole is selected if we wish to describe a valence quark, and negative pole for a valence antiquark. Like NRQCD, the typical lattice momenta involved in hadronic correlation functions can be kept small: of order O(aΛQCD), rather than O(amQ) even when describing heavy quarks. If we expand around the particle pole, the anti-particle correlator will be poorly described for large amQ. However, in that case the anti-particle will be far off shell and will only affect unphysical, renormalization factors. The formulation produces the correct continuum limit, and preliminary results have been obtained (for an unimproved action) of both the one-loop self energy and a non-perturbative correlation function.
منابع مشابه
Angular momentum of the physical electron
The angular momentum of the physical electron, modelled as a Dirac fermion coupled to the electromagnetic field, is found to be /2, the same as that of a bare Dirac fermion and independent of the size of the electric charge. The coupled Maxwell-Dirac equations
متن کاملابهام در تابع ساختار دستگاههای چندفرمیونی در تکانههای انتقالی خیلی کوچک
First the structure function of the many fermion systems is written in terms of the fluctuation of the target density and too the value of this function at very small momentum transfer is calculated. It is shown that the values of the structure function of these systems at very small momentum transfer calculated from two different ways which one is the mathematical straight way and other way is...
متن کاملFermion production in time-dependent fields
Institut für Theoretische Physik, J.W. Goethe-Universität, 60054 Frankfurt am Main, Germany and Institut de Recherches Subatomiques, 23 rue du Loess BP 28, 67037 Strasbourg Cedex, France (Dated: October 27, 2003) Abstract The exact fermion propagator in a classical time-dependent gauge field is derived by solving the equation of motion for the Dirac Green’s functions. From the retarded propagat...
متن کاملChiral symmetry breaking via multifermion Green functions.
Previous results on fermion chirality-flipping four-point functions are extended to SU(N) gauge theories. The problem is purely non-perturbative, and it is approached by truncating the Schwinger-Dyson hierarchy. The large-N limit also simplifies the problem substantially. The resulting equation is solved numerically by relaxation techniques and an estimate of the critical coupling and momentum ...
متن کاملCritical behavior of a four-point Schwinger-Dyson equation.
We study the Schwinger-Dyson equation associated with a chirality-changing fermion 4-point function in a strongly-coupled U(1) gauge theory. After making appropriate simpliications, we solve the equation numerically via a relaxation method. Our analysis provides an estimate of the critical coupling and it gives some indication as to the general momentum dependence of the 4-point function.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003