Quantum Field Theory and Applications


Natale Palerma (Editor)

Series: Physics Research and Technology
BISAC: SCI055000

Quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity and quantum mechanics, and represents the forefront of theoretical physics. The four chapters of this book include new research on quantum field theory and present different perspectives on the subject. Chapter One applies the notion of clothing particles in QFT to the theory of nuclear forces and quantum electrodynamics. Chapter Two is based on results from black hole thermodynamics at all energy scales and demonstrates that there is a natural ultraviolet applicable boundary distant from the Planck scales in QFT. Chapter Three presents a version of quantum field theory based on discrete energy-momentum and illustrates this theory using examples of fermion and boson fields. Lastly, Chapter Four discusses in detail whether or not perturbative expansion series in quantum electrodynamics are convergent and points out that the disagreement between the experimental value of the muon g-2 and the theoretical one predicted in the standard model might be due either to the larger hadronic vacuum polarization contributions or to an unexpectedly large sum of the perturbative expansion series.

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Table of Contents


Chapter 1. The Representation of Clothed Particles in Quantum Field Theory
A. Arslanaliev1,2, Y. Kostylenko1 and A. Shebeko1
1Institute of Theoretical Physics, NSC “Kharkov Institute of Physics & Technology”, Kharkiv, Ukraine
2V.N. Karazin Kharkiv National University, Kharkiv, Ukraine

Chapter 2. The Quantum Field Theory in Discrete and Continuous Picture, Quantum Foam and Ultraviolet Divergence Problem
Alexander E. Shalyt-Margolin
Institute for Nuclear Problems, Belarusian State University, Minsk, Belarus

Chapter 3. An Alternative Discrete Quantum Field Theory
Stan Gudder
Department of Mathematics, University of Denver, Denver, Colorado, US

Chapter 4. Perturvative Expansion Series in QED and the Muon G-2 Anomaly – One of the Oldest Problems in Quantum Field Theory and of the Latest Problems in the Standard Model
Hidezumi Terazawa
Center of Asia and Oceania for Science(CAOS), Tokyo, Japan and Midlands Academy of Business & Technology(MABT), Leicester, UK