Quantum Field Theory (Google eBook)

Front Cover
Cambridge University Press, Jan 25, 2007 - Science
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Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
  

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errata online:
http://www.physics.ucsb.edu/~mark/qft.html

Contents

The spinstatistics theorem 3 31
3
The path integral for interacting field theory 8 58
8
Scattering amplitudes and the Feynman rules 5 9
73
Cross sections and decay rates 10
79
Dimensional analysis with h c 1 3
90
The LehmannKallen form of the exact propagator 9
93
Loop corrections to the propagator 10 12 13
96
The oneloop correction in LehmannKallen form 14
107
Spin One
333
Maxwells equations 3
335
Electrodynamics in Coulomb gauge 54
339
LSZ reduction for photons 5 55
344
The path integral for photons 8 56
349
Spinor electrodynamics 45 57
351
Scattering in spinor electrodynamics 48 58
357
Spinor helicity for spinor electrodynamics 50 59
362

Loop corrections to the vertex 14
111
Other 1PI vertices 16
115
Higherorder corrections and renormalizability 17
117
Perturbation theory to all orders 18
121
Twoparticle elastic scattering at one loop 19
123
The quantum action 19
127
Continuous symmetries and conserved currents 8
132
P T C and Z 22
140
Nonabelian symmetries 22
146
Unstable particles and resonances 14
150
Infrared divergences 20
157
Other renormalization schemes 26
162
The renormalization group 27
169
Effective field theory 28
176
Spontaneous symmetry breaking 21
188
Broken symmetry and loop corrections 30
192
Spontaneous breaking of continuous symmetries 22 30
198
Spin One Half
203
Representations of the Lorentz group 2
205
Left and righthanded spinor fields 3 33
209
Manipulating spinor indices 34
216
Lagrangians for spinor fields 22 35
221
Canonical quantization of spinor fields I 36
232
Spinor technology 37
237
Canonical quantization of spinor fields II 38
244
Parity time reversal and charge conjugation 23 39
252
LSZ reduction for spinonehalf particles 5 39
261
The free fermion propagator 39
267
The path integral for fermion fields 9 42
271
Formal development of fermionic path integrals 43
275
The Feynman rules for Dirac fields 10 12 41 43
282
Spin sums 45
291
Gamma matrix technology 36
294
Spinaveraged cross sections 46 47
298
The Feynman rules for Majorana fields 45
303
Massless particles and spinor helicity 48
308
Loop corrections in Yukawa theory 19 40 48
314
Beta functions in Yukawa theory 28 51
324
Functional determinants 44 45
327
Scalar electrodynamics 58
371
Loop corrections in spinor electrodynamics 51 59
376
The vertex function in spinor electrodynamics 62
385
The magnetic moment of the electron 63
390
Loop corrections in scalar electrodynamics 61 62
394
Beta functions in quantum electrodynamics 52 62
403
Ward identities in quantum electrodynamics I 22 59
408
Ward identities in quantum electrodynamics II 63 67
412
Nonabelian gauge theory 24 58
416
Group representations 69
421
The path integral for nonabelian gauge theory 53 69
430
The Feynman rules for nonabelian gauge theory 71
435
The beta function in nonabelian gauge theory 70 72
439
BRST symmetry 70 71
448
Chiral gauge theories and anomalies 70 72
456
Anomalies in global symmetries 75
468
Anomalies and the path integral for fermions 76
472
Background field gauge 73
478
GervaisNeveu gauge 78
486
The Feynman rules for N N matrix fields 10
489
Scattering in quantum chromodynamics 60 79 80
495
Wilson loops lattice theory and confinement 29 73
507
Chiral symmetry breaking 76 82
516
Spontaneous breaking of gauge symmetries 32 70
526
Spontaneously broken abelian gauge theory 61 84
531
Spontaneously broken nonabelian gauge theory 85
538
gauge and Higgs sector 84
543
lepton sector 75 87
548
quark sector 88
556
Electroweak interactions of hadrons 83 89
562
Neutrino masses 89
572
Solitons and monopoles 84
576
Instantons and theta vacua 92
590
Quarks and theta vacua 77 83 93
601
Supersymmetry 69
610
The Minimal Supersymmetric Standard Model 89 95
622
Grand unification 89
625
Bibliography 636
637
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Page 9 - Dirac therefore predicted (in 1927) the existence of the positron, a particle with the same mass as the electron, but opposite charge.
Page 3 - The axiom we need to focus on is the one that says that the time evolution of the state of the system is governed by the Schrodinger equation, r\ ,), (ii) where H is the hamiltonian operator, representing the total energy.

References to this book

About the author (2007)

Mark Srednicki is Professor of Physics at the University of California, Santa Barbara. He gained his undergraduate degree from Cornell University in 1977, and received a PhD from Stanford University in 1980. Professor Srednicki has held postdoctoral positions at Princeton University and the European Organization for Nuclear Research (CERN).

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