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Table of 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
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
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
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
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
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