A Construction of An Effective Hamiltonian from Feynman Diagrams : Application to the Light-Front Yukawa Model

نویسنده

  • Yuki Yamamoto
چکیده

We study a similarity transformation to construct an effective Hamiltonian systematically, which does not contain particle-numberchanging interactions. We found it very advantageous that the effective Hamiltonian can be obtained from Feynman diagrams, so that we can use the covariant perturbative renormalization procedure. We apply this to the Light-Front Yukawa model as an example and confirm that the ground state does not depend on the transverse cutoff to the second order in the coupling constant.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - p h / 99 04 30 7 v 1 1 2 A pr 1 99 9 Feynman versus Bakamjian - Thomas in Light Front Dynamics

We compare the Bakamjian-Thomas (BT) formulation of relativistic few-body systems with light front field theories that maintain closer contact with Feynman diagrams. We find that Feynman diagrams distinguish Melosh rotations and other kinematical quantities belonging to various composite subsystem frames that correspond to different loop integrals. The BT formalism knows only the rest frame of ...

متن کامل

Solving multi-loop Feynman diagrams using light-front coordinates

Multi-loop Feynman diagrams pose a serious challenge, especially in the massive case where multiple scales arise. Apart from the successes of high-order expansions in α in QED, which provide a stringent test of quantum field theory, Feynman diagrams are also the way in which we understand the most of field theory, since it allows us to quantify it. They form the basis for our understanding of m...

متن کامل

Feynman versus Bakamjian-Thomas in Light Front Dynamics

We compare the Bakamjian-Thomas (BT) formulation of relativistic few-body systems with light front field theories that maintain closer contact with Feynman diagrams. We find that Feynman diagrams distinguish Melosh rotations and other kinematical quantities belonging to various composite subsystem frames that correspond to different loop integrals. The BT formalism knows only the rest frame of ...

متن کامل

Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration

Starting from the N -particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perform ultraviolet renormalization by showing that in the zero cutoff limit a self-adjoint operator exists after a logarithmically divergent term is subtracted from the original Hamiltonian. We obtain this term as the diagonal part of a pair interaction appearing in the density of a Gibbs measure der...

متن کامل

Inaugural-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 کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000