Quantum Field Theory for Mathematicians Book

	Preface
	Introduction
1	Relativistic Quantum Mechanics	1
2	Fock Space, the Scalar Field, and Canonical Quantization	13
3	Symmetries and Conservation Laws	36
4	From Dyson's Formula to Feynman Rules	79
5	Differential Transition Probabilities and Predictions	121
6	Representations of the Lorentz Group	136
7	Two-Component Spinor Fields	166
8	Four-Component Spinor Fields	207
9	Vector Fields and Gauge Invariance	246
10	Reformulating Scattering Theory	269
11	Functional Integral Quantization	328
12	Quantization of Gauge Theories	372
13	Anomalies and Vacua in Gauge Theories	412
14	SU(3) Representation Theory	438
15	The Structure of the Standard Model	454
16	Hadrons, Flavor Symmetry, and Nucleon-Pion Interactions	480
17	Tree-Level Applications of the Standard Model	507
18	Regularization and Renormalization	532
19	Renormalization of QED: Three Primitive Divergences	564
20	Renormalization and Preservation of Symmetries	596
21	The Renormalization Group Equations	631
	Appendix	672
	References	687
	Index	689