Preface
Acknowledgements
Author biography
1 Motivation and introduction
1.1 The four fundamental interactions
1.1.1 Electromagnetism
1.1.2 Strong and weak nuclear forces
1.1.3 Gravity
1.2 Particle exchange and force mediation
1.3 Examining a simple model
1.4 Relativity emerges
1.5 The necessity of fields and a conundrum
1.6 Exercises
References
2 Basics of scalar field theory
2.1 From oscillators to fields
2.2 Lagrange and Hamilton
2.3 Hamiltonian with sources
2.4 The attractive Yukawa potential
2.5 Some relativistic technology
2.6 Relativistic field theories
2.7 Exercises
References
3 Electromagnetism
3.1 Maxwell's equations
3.2 Lagrangian formulation
3.3 Why like charges repel: the Coulomb potential
3.4 Resolution of a conundrum and magnetic energy
3.5 The electric field in arbitrary spatial dimensions
3.6 Propagation of interactions
3.7 Electromagnetic duality and magnetic monopoles
3.8 Gauge invariance
3.9 Exercises
References
4 Yang-Mills theory
4.1 From Maxwell to Yang-Mills
4.2 Nonabelian gauge theory formalism
4.3 The static potential
4.4 The strong nuclear interaction
4.5 Classical color charge dynamics
4.6 Effective static quark-antiquark potential
4.7 Electroweak unification and Higgs mechanism
4.8 Exercises
References
5 Gravity as a field theory
5.1 The trouble with Newtonian gravity
5.2 Constructing an appropriate field theory
5.3 Emergence of Newton's law of gravity
5.4 Interactions of light and matter
5.5 A glimpse at general relativity
5.6 Gravity with extra, compactified dimensions
5.7 Exercises
References
Appendix A: Mathematical results
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