• Corpus ID: 117480717

Constructing vertices in QED

  title={Constructing vertices in QED},
  author={Adnan Bashir},
We study the Dyson Schwinger Equation for the fermion propagator in the quenched approximation. We construct a non-preservative fermion-boson vertex that ensures the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with the lowest order perturbation theory for weak couplings and has a critical coupling for dynamical mass generation that is strictly gauge independent. This is in marked contrast to the rainbow approximation in which the critical… 

Numerical Investigation of Fermion Mass Generation in QED

We investigate the dynamical generation of fermion mass in quantum electrodynamics (QED). This non-perturbative study is performed using a truncated set of Schwinger-Dyson equations for the fermion

Nonperturbative three-point vertex in massless quenched QED and perturbation theory constraints

Dong, Munczek, and Roberts have shown how the full 3-point vertex that appears in the Schwinger-Dyson equation for the fermion propagator can be expressed in terms of a constrained function ${W}_{1}$

Chiral Symmetry Breaking and Confinement Beyond Rainbow-Ladder Truncation

A non-perturbative construction of the 3-point fermion-boson vertex which obeys its Ward-Takahashi or Slavnov-Taylor identity, ensures the massless fermion and boson propagators transform according

Gauge symmetry and its implications for the Schwinger-Dyson equations

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant

Dynamical Mass Generation

Understanding the origin of mass, in particular that of the fermions, is one of the most uncanny problems which lie at the very frontiers of particle physics. Although the celebrated Standard Model

Non-perturbative Aspects of Schwinger-Dyson Equations

Schwinger‐Dyson equations (SDEs) provide a natural staring point to study non‐perturbative phenomena such as dynamical chiral symmetry breaking in gauge field theories. We briefly review this



Quantum field theory

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian

Table of Integrals, Series, and Products

Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special


  • Rev. D22 2542
  • 1980


  • Lett. B329 117
  • 1994


  • 1 1
  • 1960


  • Lett. 201B 105
  • 1988


  • Theor. Phys. 52 1326 (1974) , 54 860
  • 1975


  • Rev. D33 2333
  • 1986


  • Lett. B303 157
  • 1993


  • Nat. Acad. Sc. 37 452, 455
  • 1951