| Description |
1 online resource (252 p.) |
| Series |
Lecture Notes in Physics ; v. 1012 |
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Lecture notes in physics ; 1012.
|
| Contents |
Intro -- Acknowledgements -- About This Book -- Contents -- About the Author -- 1 Introduction -- 1.1 Special Relativity -- 1.2 Four-Vectors and Relativistic Collisions -- 1.3 Symmetry Properties of Special Relativity -- 1.4 Poincaré Group -- 2 Interpolation Between Instant Form Dynamics and Light-Front Dynamics -- 2.1 Dirac's Proposition -- 2.2 Interpolating Scattering Amplitudes -- 2.3 Kinematic Transformations of Particle Momenta -- 2.4 Application of Transformations on Interpolating Scattering Amplitudes -- 2.5 Interpolating Scattering Amplitudes in Infinite Momentum Frame |
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4 Interpolation of Quantum Chromodynamics in 1+1 Dimension -- 4.1 Introduction -- 4.2 The Mass Gap Equation -- 4.2.1 The Hamiltonian Method -- 4.2.2 The Feynman Diagram Method -- 4.2.3 Behavior of the Gap Equation When Approaching the Light-Front -- 4.3 The Mass Gap Solution -- 4.4 Chiral Condensate and Constituent Quark Mass -- 4.4.1 The Chiral Condensate -- 4.4.2 The Fermion Propagator and Constituent Mass -- 4.5 The Bound-State Equation -- 4.6 The Bound-State Solution -- 4.6.1 Spectroscopy -- 4.6.2 Wavefunctions -- 4.6.3 Quasi-PDFs -- 4.7 Conclusion and Outlook -- A QED Appendix |
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A.1 Fermion Propagator in the Position Space -- A.2 Derivation of Interpolating QED Hamiltonian -- A.3 Sum of the Interpolating Time-Ordered Fermion Propagators |
| Summary |
This book describes the invariant nature of the relativistic quantum field theories utilizing the idea of interpolating the instant form dynamics and the light-front dynamics. While the light-front dynamics (LFD) based on the light-front time was proposed by Dirac in 1949, there has not yet been a salient review on the connection between the LFD and the instant form dynamics (IFD) based on the ordinary time. By reviewing the connection between LFD and IFD using the idea of interpolating the two different forms of the relativistic dynamics, one can learn the distinguished features of each form and how one may utilize those distinguished features in solving the complicated relativistic quantum field theoretic problems more effectively. With the ongoing 12-GeV Jefferson Lab experiments, the internal structures of the nucleon and nuclei are vigorously investigated in particular using the physical observables defined in the LFD rather than in the IFD. This book offers a clear demonstration on why and how the LFD is more advantageous than the IFD for the study of hadron physics, illustrating the differences and similarities between these two distinguished forms of the dynamics. It aims at presenting the basic first-hand knowledge of the relativistic quantum field theories, describing why and how the different forms of dynamics (e.g., IFD and LFD) can emerge in them, connecting the IFD and the LFD using the idea of the interpolation, and demonstrating explicit examples of the interpolation in quantum electrodynamics and other field theories. While the level of presentation is planned mainly for the advanced undergraduate students and the beginning graduate students, the topics of the interpolation between the IFD and the LFD are innovative enough for even the experts in the field to appreciate its usefulness |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed February 14, 2023) |
| Subject |
Quantum electrodynamics.
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Symmetry (Physics)
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Quantum electrodynamics
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Symmetry (Physics)
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| Form |
Electronic book
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| ISBN |
9789811979491 |
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9811979499 |
|
