Quantum Field Theory and Applications

✍ Scribed by Natale Palerma

• Publisher: Nova Science Publishers
• Year: 2022
• Tongue: English
• Leaves: 268
• Series: Physics Research and Technology
• Category: Library

✦ Synopsis

"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"--

✦ Table of Contents

QUANTUM FIELD THEORYAND APPLICATIONS
QUANTUM FIELD THEORYAND APPLICATIONS
Contents
PREFACE
Chapter 1THE REPRESENTATION OF CLOTHEDPARTICLES IN QUANTUM FIELD THEORY
Abstract
1. Introduction
2. Some Recollections
2.1. Relativistic Field Theory with Particle Creationand Annihilation
2.2. The Unitary Clothing Transformation Method in Action
3. Relativistic Interactions between ClothedParticles in Meson-Nucleon Systems
3.1. The Equivalence Theorem: Application to the Neutron-Proton Scattering bellow the Pion Threshold Production
3.2. Regularized Nucleon-Nucleon Interaction. Description ofthe Nucleon-Proton Phase-Shifts and Deuteron Properties
3.3. The Clothed Particle Representation in the Theoryof 3N-Systems
3.4. The 2N-, 3N- and More Complicated InteractionOperators between Clothed Nucleons
3.5. Kharkov Potential in the Triton Binding Energyand p-d Scattering Observables Calculations
4. QED in the Clothed-Particle Representation
4.1. Explicit Expressions for the Interaction Operators
4.1.1. The Interaction Operator for Clothed Electrons
4.1.2. The Interaction Operator for Clothed Electron and Positron
4.1.3. The Interaction Operator for e−e+-Pair Annihilation
4.1.4. The Compton Effect in the Clothed Particle Representation
4.2. Positronium Properties in the Clothed Particle Representation
4.2.1. Positronium Decay Rates
4.3. Mass Renormalization in Mesodynamics and QuantumElectrodynamics
Conclusion
Acknowledgments
REFERENCES
Chapter 2THE QUANTUM FIELD THEORY INDISCRETE AND CONTINUOUS PICTURE,QUANTUM FOAM AND ULTRAVIOLETDIVERGENCE PROBLEM
Abstract
1. Introduction
2. Measurability Concept in Quantum Theoryand Gravity
Measurable Form as Lattice Field TheoryFrom Section 4
4. Perturbation Theory in Continuous and MeasurableCases
4.1. Simple Scalar Model '4
4.2. Gauge-Invariante Lagrangians with the Fermions Fields
5. Limit Transition to Continuous Theory,Equivalence Principle ApplicabilityBoundary and Main Hypothesis
6. The Strong Equivalence Principle, Black HolesThermodynamics and QFT
7. Final Comments and Conclusion
Conflict of Interests
References
Chapter 3AN ALTERNATIVE DISCRETE QUANTUMFIELD THEORY
Abstract
1. Introduction
2. Basic Definitions
3. Fermions
4. Bosons
References
Chapter 4PERTURVATIVE EXPANSION SERIES INQED AND THE MUON G-2 ANOMALY −ONE OF THE OLDEST PROBLEMS INQUANTUM FIELD THEORY AND OF THELATEST PROBLEMS IN THE STANDARDMODEL
Abstract
1. Introduction
2. Expansion Parameters
3. Muon Magnetic Moment
4. Magnetic Monopole
Conclusion
Acknowledgments
REFERENCES
BIBLIOGRAPHY
INDEX
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