Mode dependent field renormalization and triviality

Mode Dependent Field Renormalization and Triviality

We critically analyze the introduction of an independent zero momentum mode field renormalization for φ. It leads to an infrared divergent effective action. It does not achieve its purpose: triviality still gives massless particles in the broken phase in the continuum limit. It leads to an effective potential which is not the low energy limit of the effective action. e-mail: [email protected]

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

time-dependent real-space renormalization group method

in this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent hamiltonians. we drive the time-dependent recursion relations for the renormalized tight-binding hamiltonian by decimating selective sites of lattice iteratively. the formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

Renormalization and Effective Field Theory

Renormalization and quantum field theory

The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a canonical Feynman measure, there is a canonical orbit of Feynman measures under renormalization. We then construct a perturbative quantum field t...