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001454559 0247_ $$a10.1007/978-981-19-7949-1$$2doi
001454559 035__ $$aSP(OCoLC)1369643189
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001454559 050_4 $$aQC680
001454559 08204 $$a530.14/33$$223/eng/20230214
001454559 1001_ $$aJi, Chueng-Ryong.
001454559 24510 $$aRelativistic quantum invariance /$$cChueng-Ryong Ji.
001454559 260__ $$aSingapore :$$bSpringer,$$c2023.
001454559 300__ $$a1 online resource (252 p.).
001454559 4901_ $$aLecture Notes in Physics ;$$vv. 1012
001454559 504__ $$aIncludes bibliographical references.
001454559 5050_ $$aIntro -- Acknowledgements -- About This Book -- Contents -- About the Author -- 1 Introduction -- 1.1 Special Relativity -- 1.2 Four-Vectors and Relativistic Collisions -- 1.3 Symmetry Properties of Special Relativity -- 1.4 Poincaré Group -- 2 Interpolation Between Instant Form Dynamics and Light-Front Dynamics -- 2.1 Dirac's Proposition -- 2.2 Interpolating Scattering Amplitudes -- 2.3 Kinematic Transformations of Particle Momenta -- 2.4 Application of Transformations on Interpolating Scattering Amplitudes -- 2.5 Interpolating Scattering Amplitudes in Infinite Momentum Frame
001454559 5058_ $$a4 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
001454559 5058_ $$aA.1 Fermion Propagator in the Position Space -- A.2 Derivation of Interpolating QED Hamiltonian -- A.3 Sum of the Interpolating Time-Ordered Fermion Propagators
001454559 506__ $$aAccess limited to authorized users.
001454559 520__ $$aThis book describes the invariant nature of the relativistic quantum field theories utilizing the idea of interpolating the instant form dynamics and the light-front dynamics. While the light-front dynamics (LFD) based on the light-front time was proposed by Dirac in 1949, there has not yet been a salient review on the connection between the LFD and the instant form dynamics (IFD) based on the ordinary time. By reviewing the connection between LFD and IFD using the idea of interpolating the two different forms of the relativistic dynamics, one can learn the distinguished features of each form and how one may utilize those distinguished features in solving the complicated relativistic quantum field theoretic problems more effectively. With the ongoing 12-GeV Jefferson Lab experiments, the internal structures of the nucleon and nuclei are vigorously investigated in particular using the physical observables defined in the LFD rather than in the IFD. This book offers a clear demonstration on why and how the LFD is more advantageous than the IFD for the study of hadron physics, illustrating the differences and similarities between these two distinguished forms of the dynamics. It aims at presenting the basic first-hand knowledge of the relativistic quantum field theories, describing why and how the different forms of dynamics (e.g., IFD and LFD) can emerge in them, connecting the IFD and the LFD using the idea of the interpolation, and demonstrating explicit examples of the interpolation in quantum electrodynamics and other field theories. While the level of presentation is planned mainly for the advanced undergraduate students and the beginning graduate students, the topics of the interpolation between the IFD and the LFD are innovative enough for even the experts in the field to appreciate its usefulness.
001454559 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 14, 2023).
001454559 650_0 $$aQuantum electrodynamics.
001454559 650_0 $$aSymmetry (Physics)
001454559 655_0 $$aElectronic books.
001454559 77608 $$iPrint version:$$aJi, Chueng-Ryong$$tRelativistic Quantum Invariance$$dSingapore : Springer,c2023$$z9789811979484
001454559 830_0 $$aLecture notes in physics ;$$v1012.
001454559 852__ $$bebk
001454559 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-7949-1$$zOnline Access$$91397441.1
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001454559 980__ $$aBIB
001454559 980__ $$aEBOOK
001454559 982__ $$aEbook
001454559 983__ $$aOnline
001454559 994__ $$a92$$bISE