Flow equations for QED in the light front dynamics
نویسندگان
چکیده
The method of flow equations is applied to QED on the light front. Requiring that the partical number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained which reduces the positronium problem to a two-particle problem, since the particle number violating contributions are eliminated. No infrared divergencies appear. The ultraviolet renormalization can be performed simultaneously. ∗E-mail address: [email protected]
منابع مشابه
Flow equations in the light-front perturbation theory
The method of flow equations is applied to QED in the light-front dynamics. To second order in the coupling the particle number conserving part of the effective QED Hamiltonian has two terms of different structure. The first term gives the Coulomb interaction and the correct spin splittings of positronium; the contribution of the second term to mass spectrum depends on the explicit form of unit...
متن کاملInaugural-dissertation Zur Erlangung Der Doktorwürde Der Naturwissenschaftlich-mathematischen Gesamtfakultät Der Ruprecht-karls-universität Heidelberg Flow Equations for the Quantum Electrodynamics on the Light-front
The method of flow equations is applied to QED on the light front. Requiring that the particle number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained which reduces the positronium problem to a two-particle problem, since the particle number violating contributions are eliminated. Using an effective electron-...
متن کاملQED second order corrections on the speed of light at low temperature
We want to study thermal corrections on the speed of light at low temperature considering temperature dependence of photon vacuum polarization tensor at two-loop level in the standard QED. It is found that the heat bath behaves as a dispersive medium for the propagation of light and reduces its speed proportional to the second order of temperature. Similarities and differences, in light ...
متن کاملLight-cone Hamiltonian flow for positronium. The numerical solutions
The effective Hamiltonian, as obtained from applying the Hamiltonian flow equations to front form QED, are solved numerically for positronium. Both the exchange and the annihilation channels are included. The impact of different similarity functions is explicitly studied. Perfect numerical agreement with other methods is found. Present address: Department of Physics, North Carolina State Univer...
متن کاملExact renormalization group analysis in Hamiltonian theory: I. QED Hamiltonian on the light front
The infinitesimal unitary transformation, introduced recently by F. Wegner, to bring the Hamiltonian to diagonal (or band diagonal) form, is applied to the Hamiltonian theory as an exact renormalization scheme. We consider QED on the light front to illustrate the method. The low-energy generated interaction, induced in the renormalized Hamiltonian to the order α, is shown to be negative to insu...
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 1997