- Title Pages
- Preface
- 1 Origins I: From the arrow of time to the first quantum field
- 2 Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island
- 3 Dynamics I: The physical ingredients of quantum field theory: dynamics, symmetries, scales
- 4 Dynamics II: Quantum mechanical preliminaries
- 5 Dynamics III: Relativistic quantum mechanics
- 6 Dynamics IV: Aspects of locality: clustering, microcausality, and analyticity
- 7 Dynamics V: Construction of local covariant ffields
- 8 Dynamics VI: The classical limit of quantum fields
- 9 Dynamics VII: Interacting fields: general aspects
- 10 Dynamics VIII: Interacting fields: perturbative aspects
- 11 Dynamics IX: Interacting fields: non-perturbative aspects
- 12 Symmetries I: Continuous spacetime symmetry: why we need Lagrangians in field theory
- 13 Symmetries II: Discrete spacetime symmetries
- 14 Symmetries III: Global symmetries in field theory
- 15 Symmetries IV: Local symmetries in field theory
- 16 Scales I: Scale sensitivity of field theory amplitudes and effective field theories
- 17 Scales II: Perturbatively renormalizable field theories
- 18 Scales III: Short-distance structure of quantum field theory
- 19 Scales IV: Long-distance structure of quantum field theory
- Appendix A The functional calculus
- Appendix B Rates and cross-sections
- Appendix C Majorana spinor algebra
- References
- Index

# Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island

# Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island

- Chapter:
- (p.30) 2 Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island
- Source:
- The Conceptual Framework of Quantum Field Theory
- Author(s):
### Anthony Duncan

- Publisher:
- Oxford University Press

This chapter highlights major breakthroughs in the history of quantum field theory. It focuses on studies which had a definitive impact in, firstly, the development of the formal structure of quantum field theory; and, secondly, uncovering and (partially) resolving the conceptual difficulties occasioned by the lack of explicit relativistic covariance and by the appearance of ultraviolet divergencies in early calculations of quantum electrodynamic processes. The theories of Dirac, Jordan, Klein, Wigner, Pauli, and Heisenberg are discussed.

*Keywords:*
quantum field theory, quantum electrodynamics, Dirac, Jordan, Klein, Wigner, Pauli, Heisenberg

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- Title Pages
- Preface
- 1 Origins I: From the arrow of time to the first quantum field
- 2 Origins II: Gestation and birth of interacting field theory: from Dirac to Shelter Island
- 3 Dynamics I: The physical ingredients of quantum field theory: dynamics, symmetries, scales
- 4 Dynamics II: Quantum mechanical preliminaries
- 5 Dynamics III: Relativistic quantum mechanics
- 6 Dynamics IV: Aspects of locality: clustering, microcausality, and analyticity
- 7 Dynamics V: Construction of local covariant ffields
- 8 Dynamics VI: The classical limit of quantum fields
- 9 Dynamics VII: Interacting fields: general aspects
- 10 Dynamics VIII: Interacting fields: perturbative aspects
- 11 Dynamics IX: Interacting fields: non-perturbative aspects
- 12 Symmetries I: Continuous spacetime symmetry: why we need Lagrangians in field theory
- 13 Symmetries II: Discrete spacetime symmetries
- 14 Symmetries III: Global symmetries in field theory
- 15 Symmetries IV: Local symmetries in field theory
- 16 Scales I: Scale sensitivity of field theory amplitudes and effective field theories
- 17 Scales II: Perturbatively renormalizable field theories
- 18 Scales III: Short-distance structure of quantum field theory
- 19 Scales IV: Long-distance structure of quantum field theory
- Appendix A The functional calculus
- Appendix B Rates and cross-sections
- Appendix C Majorana spinor algebra
- References
- Index