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Introduction to the Standard Model and Beyond: Quantum Field Theory, Symmetries and Phenomenology [Hardback]

(Ohio State University)
  • Formāts: Hardback, 636 pages, height x width x depth: 252x193x33 mm, weight: 1550 g, Worked examples or Exercises
  • Izdošanas datums: 08-Jul-2021
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 1108494196
  • ISBN-13: 9781108494199
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Introduction to the Standard Model and Beyond: Quantum Field Theory, Symmetries and PhenomenologyPalielināt
  • Formāts: Hardback, 636 pages, height x width x depth: 252x193x33 mm, weight: 1550 g, Worked examples or Exercises
  • Izdošanas datums: 08-Jul-2021
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 1108494196
  • ISBN-13: 9781108494199
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781108494199.html
Keywords:
"The Standard Model of particle physics is an amazingly successful theory describing the fundamental particles and forces of nature. This text, written for a two-semester graduate course on the Standard Model, develops a practical understanding of the theoretical concepts it's built upon, to prepare students to enter research. The author takes a historical approach to demonstrate to students the process of discovery which is often overlooked in other textbooks, presenting quantum field theory and symmetries as the necessary tools for describing and understanding the Standard Model. He develops these tools using a basic understanding of quantum mechanics and classical field theory, such as Maxwell's electrodynamics, before discussing the important role that Noether's theorem and conserved charges play in the theory. Worked examples feature throughout the text, while homework exercises are included for the first five parts, with solutions available online for instructors. Inspired by the author's own teaching experience, suggestions for independent research topics have been provided for the second-half of the course, which students can then present to the rest of the class"--

Recenzijas

'Stuart Raby's book is an outstanding addition to the suite of textbooks on the Standard Model of particle physics, and it goes well beyond, as the title promises. The treatment is pedagogical and solidly anchored on quantum field theory and symmetry principles. It weaves seamlessly the fundamental aspects with phenomenology to offer a broad and deep exploration of one of the most successful theories of fundamental interactions and its possible extensions. With excellent suggestions for independent research projects, this textbook is bound to become a true classic, and it will be welcomed by students and instructors alike.' Daniel Boyanovsky, University of Pittsburgh 'This is a fantastic book on the Standard Model and its extensions that will serve as an excellent resource for graduate students and researchers. Raby is one of the world's foremost experts on physics beyond the Standard Model, in particular supersymmetry and Grand Unified Theories, so the reader is in good hands. His treatment is very complete, starting from an almost foundational level, but over the course of over 600 pages he takes us to the cutting edge of particle physics research, with a clear, mathematically detailed narrative that never becomes overwhelming. This is a book I will most certainly be recommending to my own students!' David Miller, University of Glasgow ' reading through Stuart Raby's book was a nice reminder of the importance and elegance of the Standard Model and gave an excellent insight into the many exciting areas of research beyond it that are still active today.' Richard Lane, The Observatory

Papildus informācija

Develops a practical understanding of the theoretical concepts required to understand the Standard Model for a two-semester graduate course.
Preface xiii
Acknowledgements xvi
Part I Getting Started
1(6)
1 Notation
3(4)
Part II Symmetries and Quantum Field Theory
7(122)
2 Poincare Invariance
9(11)
2.1 What Is a Group?
9(3)
2.2 The Lie Algebra of the Poincare Group
12(6)
2.3 Exercises
18(2)
3 Spin
20(10)
3.1 Massive Particles
20(5)
3.2 Massless Particles
25(5)
4 Completeness and Normalization
30(8)
4.1 Single-Particle States
30(1)
4.2 Definition of Cross-Section and Lifetime
31(5)
4.3 Decay Rates
36(2)
5 Quantum Mechanics
38(11)
5.1 Scattering Probability
38(1)
5.2 S Matrix
39(4)
5.3 Treatment of Unstable Particles
43(4)
5.4 Exercises
47(2)
6 Unitarity and Partial Waves
49(15)
6.1 Unitary S Matrix
49(7)
6.2 Spin ab → cdM with dm → 1..., n
56(1)
6.3 Application of the Formalism on Lorentz Transformations
57(7)
7 Introduction to Field Theory
64(16)
7.1 Multi-Particle States: Fock Space
64(5)
7.2 What about Lorentz Transformations?
69(2)
7.3 Let's Complete the Analogy of a Scalar Field with the Quantum-Harmonic Oscillator
71(4)
7.4 Some Useful Identities
75(3)
7.5 Exercises
78(2)
8 Complex Scalar Field
80(9)
8.1 Complex Scalar
80(4)
8.2 Discrete Symmetries of the Charged Scalar Field
84(4)
8.3 Exercises
88(1)
9 Spin-1/2 Particles
89(14)
9.1 Dirac Equation
89(5)
9.2 Causality for Fermions
94(1)
9.3 Phase Factor Conventions for Spinors
94(4)
9.4 Lorentz Transformations of Fermions
98(3)
9.5 Exercises
101(2)
10 Weyl Spinors
103(8)
10.1 Phase Symmetries of the Dirac Lagrangian
103(2)
10.2 The Massless Limit of the Dirac Theory, m = 0
105(3)
10.3 Lorentz Transformations and Weyl Spinors
108(3)
11 Spin-1 Particles
111(9)
11.1 Massive Spin-1 Particles
111(4)
11.2 Massless Spin-1 Particles
115(5)
12 The S Matrix in Field Theory
120(9)
Part III Quantum Electrodynamics
129(38)
13 Quantum Electrodynamics
131(12)
13.1 Introduction to QED
131(1)
13.2 Feynman Rules in Coordinate Space
132(2)
13.3 Feynman Rules in Momentum Space
134(3)
13.3.1 Bubbles and Disconnected Diagrams at Second Order in Perturbation Theory
136(1)
13.4 Bhabha Scattering
137(1)
13.5 Crossing Symmetry
138(4)
13.6 Exercises
142(1)
14 Magnetic Moments in QED
143(12)
14.1 The Dirac Magnetic Moment
143(2)
14.2 Anomalous Magnetic Moments
145(2)
14.3 Measurement of ae
147(1)
14.4 Anomalous Magnetic Moment of the Muon
148(2)
14.5 How Is Measured?
150(1)
14.6 Strong-Interaction Contribution to Electromagnetic Processes
151(2)
14.7 Lamb Shift
153(2)
15 The Size of the Proton
155(12)
15.1 Elastic Electron-Proton Scattering
155(5)
15.2 Physical Interpretation of the Form Factor
160(3)
15.3 Form Factors in the Crossed Channel
163(3)
15.4 Exercises
166(1)
Part IV Discrete Symmetries and their Consequences
167(24)
16 Charge Conjugation and Parity
169(11)
16.1 Charge Conjugation
170(1)
16.2 Parity
171(1)
16.3 Transformation of the Photon in the Coulomb Gauge
172(1)
16.4 Applications of C and P Invariance
173(5)
16.5 Exercises
178(2)
17 Time-Reversal Invariance
180(6)
17.1 Time-Reversal Invariance of QED
180(3)
17.2 Phenomenological Consequences of Time-Reversal Invariance
183(3)
18 CPT Theorem
186(5)
18.1 CPT Theorem
186(1)
18.2 Applications of the CPT Theorem
187(4)
Part V Flavor Symmetries
191(52)
19 Global Symmetries
193(9)
19.1 Baryon and Lepton Numbers
193(1)
19.2 Isotopic Spin
194(4)
19.3 Tests of Approximate Isospin Symmetry
198(2)
19.4 Isospin of Pions
200(1)
19.5 Exercises
201(1)
20 Testing Isospin and G Parity
202(8)
20.1 Testing Isospin with Scattering Cross-Sections
202(2)
20.2 G-Parity Invariance of the Strong Interactions
204(3)
20.3 Some Applications of Isospin and G-Parity Conservation
207(1)
20.4 Exercises
208(2)
21 Evidence for New Particles, Quantum Numbers and Interactions
210(6)
21.1 Bringing Order to Chaos
211(4)
21.2 Exercises
215(1)
22 Representation Theory for SU(2)
216(3)
22.1 Exercises
218(1)
23 SU(3) Symmetry
219(11)
23.1 Lie Algebra of SU(3)
220(1)
23.2 Complete Set of Commuting Operators
221(3)
23.3 The Quark Model
224(3)
23.4 Direct (or Tensor) Product States
227(2)
23.5 Exercises
229(1)
24 Tests of SU(3) Symmetry
230(13)
24.1 Coleman-Glashow Relation
230(2)
24.2 Tensor Methods
232(1)
24.3 Tensor Analysis and the Clebsch-Gordan Decomposition
233(5)
24.4 Gell-Mann-Okubo Mass Formula
238(5)
Part VI Spontaneous Symmetry Breaking
243(38)
25 Spontaneous Symmetry Breaking
245(9)
25.1 Spontaneously Breaking a Discrete Global Symmetry
247(3)
25.2 Spontaneously Breaking a Continuous Global Symmetry
250(4)
26 Spontaneous Symmetry Breaking in Hadronic Physics
254(12)
26.1 Chiral Symmetry
254(2)
26.2 Gell-Mann-Levy Model
256(2)
26.3 Spontaneously Breaking SU(2)L ⊗ SU(2)R
258(5)
26.4 General Derivation of the Goldberger-Treiman Relation
263(1)
26.5 Non-Linear Sigma Model
264(2)
27 Current Algebra and the Adler-Weisberger Relation
266(15)
27.1 Adler-Weisberger Relation
266(1)
27.2 Derivation of the Adler-Weisberger Relation
267(14)
Part VII Road to the Standard Model: Quantum Chromodynamics
281(50)
28 Quantum Chromodynamics
283(7)
28.1 Five Puzzles of the Quark Model
283(2)
28.2 Local Non-Abelian Symmetry
285(5)
29 Quantizing Non-Abelian Gauge Theory
290(6)
29.1 Perturbation Theory for Non-Abelian Gauge Theories - Rζ Gauge
292(1)
29.2 Feynman Rules
293(3)
30 Renormalization
296(9)
30.1 Four-Dimensional Lattice Gauge Theory
300(2)
30.2 Strong Coupling Limit of QCD on a Three-Dimensional Lattice
302(3)
31 Deep Inelastic Electron-Nucleon Scattering
305(18)
31.1 The Cross-Section
305(3)
31.2 Bjorken Scaling
308(1)
31.3 Parton Model
309(8)
31.4 Jets
317(1)
31.5 Discovery of the Gluon
318(5)
32 LHC Physics and Parton Distribution Functions
323(8)
Part VIII Road to the Standard Model: Electroweak Theory
331(54)
33 The Electroweak Theory
333(18)
33.1 Brief Review of Spinors
333(1)
33.2 Electroweak Theory of Leptons
334(2)
33.3 Converting to Dirac Notation
336(6)
33.4 Phenomenological Lagrangian
342(2)
33.5 Muon Beta Decay
344(6)
33.6 Discovery of the W± and Z° Bosons
350(1)
34 Electroweak Symmetry Breaking
351(12)
34.1 The Higgs Mechanism of Electroweak Symmetry Breaking
353(6)
34.2 "Unitary" Gauge
359(2)
34.3 `T Hooft-Rζ' Gauge
361(2)
35 Electroweak Phenomena
363(8)
35.1 Custodial SU(2)
363(4)
35.2 Elastic Neutrino-Electron Scattering
367(1)
35.3 Forward-Backward Asymmetry in e+e- → μ+μ- Scattering
368(3)
36 Deep Inelastic Scattering Revisited
371(8)
37 Weak Interactions of Quarks
379(6)
37.1 Some Classic Weak Decays
380(1)
37.2 Flavor-Changing Neutral Currents
381(4)
Part IX The Standard Model
385(56)
38 Three-Family Model
387(9)
38.1 Prologue
387(1)
38.2 Six-Quark Model
388(1)
38.3 Yukawa Couplings
389(1)
38.4 Mass Matrices and Mass Eigenstate Basis
390(4)
38.5 Kobayashi-Maskawa Model and Three Families
394(2)
39 Determining Vckm and Quark Masses
396(11)
39.1 CP Violation
399(2)
39.2 K°-R° Mixing
401(5)
39.2.1 Perturbation Expansion in Hw
402(2)
39.2.2 Eigenvalues
404(2)
39.3 K°--K° Oscillations: Measuring ΔK
406(1)
40 CP-Violating Parameters εK and ε'K
407(15)
40.1 Phase Conventions
411(1)
40.2 Theoretical Calculation of εK
412(5)
40.2.1 Re-Phase-Invariant Formula
415(2)
40.3 εK in Terms of the Wolfenstein Parameters
417(3)
40.4 Unitarity Triangle
420(2)
41 Effective Field Theories
422(10)
41.1 Vacuum Polarization
422(2)
41.2 Effective Field Theories above and below Mz
424(5)
41.3 The Higgs Boson
429(3)
42 Anomalies
432(9)
42.1 Anomalies via the Path-Integral Approach
433(6)
42.2 Gauge Anomalies in the Standard Model
439(2)
Part X Neutrino Oscillations
441(32)
43 Neutrino Oscillations: Atmospheric
443(8)
43.1 The Missing Muon Neutrinos
443(3)
43.2 Neutrino Oscillations in Vacuum
446(5)
44 Neutrino Oscillations: Solar
451(14)
44.1 The Solar-Neutrino Problem
451(4)
44.2 The SNO Experiment
455(3)
44.3 The MSW Effect
458(7)
45 Neutrino Oscillations Cont'd: Neutrino Mass and Mixing Angles
465(8)
45.1 LSND and Mini-BooNE
465(2)
45.2 Summarizing Neutrino Results
467(1)
45.3 Neutrino Mass
468(2)
45.4 Arbitrary Parameters of the Standard Model
470(3)
Part XI Grand Unification
473(36)
46 Grand Unification
475(13)
46.1 Two Roads to Grand Unification
475(1)
46.2 Grand Unified Theory: SU(5)
476(12)
46.2.1 Yukawa Unification: λb = λτ
482(2)
46.2.2 Spontaneously Breaking SU(5) → SU(3) ⊗ SU(2) ⊗ U(1)Y
484(1)
46.2.3 Nucleon Decay
485(3)
47 Supersymmetry
488(6)
47.1 Two-Component Spinors and the Lorentz Group
488(2)
47.2 N = 1 SUSY Algebra
490(1)
47.3 Massless Representations of AT = 1 SUSY
491(3)
48 Superfields
494(8)
48.1 SUSY Gauge Theory
498(2)
48.2 SUSY Quantum Electrodynamics
500(2)
49 SUSY 5/7(5)
502(7)
49.1 Superfields for SUSY SU(5)
502(3)
49.2 Nucleon Decay
505(4)
Part XII Minimal Supersymmetric Standard Model
509(36)
50 Supersymmetric Standard Model
511(15)
50.1 SUSY Non-Renormalization Theorems
513(1)
50.2 Soft SUSY Breaking
514(1)
50.3 The MSSM Spectrum
515(1)
50.4 Electroweak Symmetry Breaking
515(3)
50.5 Running the Gaugino and Higgs Masses
518(2)
50.6 Mass Eigenstates after Electroweak Soft Breaking
520(6)
51 Spontaneous SUSY Breaking
526(9)
51.1 O'Raifeartaigh Mechanism
526(3)
51.2 Gravity-Mediated SUSY Breaking
529(2)
51.3 Gauge-Mediated SUSY Breaking
531(4)
52 MSSM Phenomenology
535(10)
52.1 Gluino-Squark Detection at the LHC
535(4)
52.2 Simplified Models
539(1)
52.3 Electroweakinos
540(5)
Part XIII Second-Semester Projects
545(8)
53 Suggested Term Projects 1
547(3)
54 Suggested Term Projects 2
550(3)
Part XIV Appendices
553(46)
Appendix A Gell-Mann-Low Theorem
555(7)
A.1 Interaction Picture
555(4)
A.2 Gell-Mann-Low Theorem
559(3)
Appendix B Wick's Theorem
562(6)
Appendix C One-Loop Calculations in QED
568(14)
C.1 Vacuum Polarization
568(5)
C.2 The Renormalized Polarization Tensor
573(1)
C.3 Vertex Function and (g - 2)
574(3)
C.4 One-Loop Fermion Self Energy
577(5)
Appendix D Renormalization in QED
582(11)
D.1 The Un-renormalized and Renormalized Lagrangian
582(1)
D.2 Generic β functions
583(4)
D.3 Callan-Symanzik Equations
587(6)
Appendix E Triangle Anomaly
593(6)
References 599(19)
Index 618
Stuart Raby is a professor of physics at The Ohio State University. He is among the original proponents of the supersymmetric extension of the Standard Model and a pioneer of supersymmetric grand unified theories. His work focuses on the experimental consequences of physics beyond the Standard Model, ranging from collider experiments to proton decay searches, dark matter candidates and questions in cosmology. His first book, Supersymmetric Grand Unified Theories, was published in 2017.