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1.

図書

図書
international advisory committee, I.J.R. Aitchison ... [et al.] ; local organizing committee, A. Białas ... [et al.]
出版情報: Singapore : World Scientific, c1987  ix, 531 p. ; 23 cm
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2.

図書

図書
Ian J.R. Aitchison
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1982  ix, 174 p. ; 24 cm
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目次情報: 続きを見る
Preface
Introduction and motivations / 1:
Symmetries in quantum field theory: I. Manifest / 2:
Gauge fields and the gauge principle / 3:
Quantisation of vector fields: I. Massless / 4:
Quantisation of vector fields: II. Massive / 5:
Symmetry in quantum field theory: II. Hidden / 6:
Theory of weak and electromagnetic interactions / 7:
Renormalisation matters / 8:
References
Index
Preface
Introduction and motivations / 1:
Symmetries in quantum field theory: I. Manifest / 2:
3.

図書

図書
I.J.R. エイチスン, A.J.G. ヘイ著 ; 藤井昭彦訳
出版情報: 東京 : 講談社, 1992.7-  2冊 ; 21cm
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4.

図書

図書
I.J.R.エイチスン, A.J.G.ヘイ著 ; 藤井昭彦訳
出版情報: 東京 : 講談社, 1983-1984  冊 ; 21cm
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5.

図書

図書
Ian J.R. Aitchison, Anthony J.G. Hey
出版情報: Bristol : Hilger, in association with the University of Sussex Press, c1982  xvi, 341 p. ; 24 cm
シリーズ名: Graduate student series in physics
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6.

図書

図書
edited by I.J.R. Aitchison and J.E.Paton
出版情報: Oxford : Pergamon Press, 1977  vii, 119 p. ; 26 cm
シリーズ名: Progress in nuclear physics / editor, O.R. Frisch ; v. 13
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7.

図書

図書
I.J.R.エイスチン, A.J.G.ヘイ著 ; 藤井昭彦訳
出版情報: 東京 : 講談社, 1992.10  xv, 382p ; 21cm
シリーズ名: ゲージ理論入門 / I.J.R. エイチスン, A.J.G. ヘイ著 ; 藤井昭彦訳 ; 2
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8.

図書

図書
I.J.R.エイチスン, A.J.G.ヘイ著 ; 藤井昭彦訳
出版情報: 東京 : 講談社, 1984.2  xv,270p ; 21cm
シリーズ名: ゲージ理論入門 / I.J.R.エイチスン, A.J.G.ヘイ著 ; 藤井昭彦訳 ; 2
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9.

図書

図書
Ian J.R. Aitchison, Anthony J.G. Hey
出版情報: Boca Raton : CRC Press, c2013  xiv, 438 p., [2] p. of plates ; 24 cm
シリーズ名: Gauge theories in particle physics : a practical introduction ; v. 1
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目次情報: 続きを見る
Preface
Introductory Survey, Electromagnetism as a Gauge Theory, and Relativistic Quantum Mechanics / I:
The Particles and Forces of the Standard Model / 1:
Introduction: the Standard Model / 1.1:
The fermions of the Standard Model / 1.2:
Leptons / 1.2.1:
Quarks / 1.2.2:
Particle interactions in the Standard Model / 1.3:
Classical and quantum fields / 1.3.1:
The Yukawa theory of force as virtual quantum exchange / 1.3.2:
The one-quantum exchange amplitude / 1.3.3:
Electromagnetic interactions / 1.3.4:
Weak interactions / 1.3.5:
Strong interactions / 1.3.6:
The gauge bosons of the Standard Model / 1.3.7:
Renormalization and the Higgs sector of the Standard Model / 1.4:
Renormalization / 1.4.1:
The Higgs boson of the Standard Model / 1.4.2:
Summary / 1.5:
Problems
Electromagnetism as a Gauge Theory / 2:
Introduction / 2.1:
The Maxwell equations: current conservation / 2.2:
The Maxwell equations: Lorentz covariance and gauge invariance / 2.3:
Gauge invariance (and covariance) in quantum, mechanics / 2.4:
The argument reversed: the gauge principle / 2.5:
Comments on the gauge principle in electromagnetism / 2.6:
Relativistic Quantum Mechanics / 3:
The Klein-Gordon equation / 3.1:
Solutions in coordinate space / 3.1.1:
Probability current for the KG equation / 3.1.2:
The Dirac equation / 3.2:
Free-particle solutions / 3.2.1:
Probability current for the Dirac equation / 3.2.2:
Spin / 3.3:
The negative-energy solutions / 3.4:
Positive-energy spinors / 3.4.1:
Negative-energy spinors / 3.4.2:
Dirac's interpretation of the negative-energy solutions of the Dirac equation / 3.4.3:
Feynman's interpretation of the negative-energy solutions of the KG and Dirac equations / 3.4.4:
Inclusion of electromagnetic interactions via the gauge principle: the Dirac prediction of g = 2 for the electron / 3.5:
Lorentz Transformations and Discrete Symmetries / 4:
Lorentz transformations / 4.1:
The KG equation / 4.1.1:
Discrete transformations: P, C and T / 4.1.2:
Parity / 4.2.1:
Charge conjugation / 4.2.2:
CP / 4.2.3:
Time reversal / 4.2.4:
CPT / 4.2.5:
Introduction to Quantum Field Theory / II:
Quantum Field Theory I: The Free Scalar Field / 5:
The quantum field: (i) descriptive / 5.1:
The quantum field: (ii) Lagrange-Hamilton formulation / 5.2:
The action principle: Lagrangian particle mechanics / 5.2.1:
Quantum particle mechanics a la Heisenberg-Lagrange-Hamilton / 5.2.2:
Interlude: the quantum oscillator / 5.2.3:
Lagrange-Hamilton classical field mechanics / 5.2.4:
Heisenberg-Lagrange-Hamilton quantum field mechanics / 5.2.5:
Generalizations: four dimensions, relativity and mass / 5.3:
Quantum Field Theory II: Interacting Scalar Fields / 6:
Interactions in quantum field theory: qualitative introduction / 6.1:
Perturbation theory for interacting fields: the Dyson expansion of the S-matrix / 6.2:
The interaction picture / 6.2.1:
The 5-matrix and the Dyson expansion / 6.2.2:
Applications to the 'ABC theory / 6.3:
The decay C → A + B / 6.3.1:
A + B → A + B scattering: the amplitudes / 6.3.2:
A + B → A + B scattering: the Yukawa exchange mechanism, s and u channel processes / 6.3.3:
A + B → A + B scattering: the differential cross section / 6.3.4:
A + B → A +'B scattering: loose ends / 6.3.5:
Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields; Introduction of Electromagnetic Interactions / 7:
The complex scalar field: global U(1) phase invariance, particles and antiparticles / 7.1:
The Dirac field and the spin-statistics connection / 7.2:
The Maxwell field Aμ (x) / 7.3:
The classical field case / 7.3.1:
Quantizing Aμ(x) / 7.3.2:
Introduction of electromagnetic interactions / 7.4:
P, C and T in quantum field theory / 7.5:
Tree-Level Applications in QED / 7.5.1:
Elementary Processes in Scalar and Spinor Electrodynamics / 8:
Coulomb scattering of charged spin-0 particles / 8.1:
Coulomb scattering of s+ (wavefunction approach) / 8.1.1:
Coulomb scattering of s+ (field-theoretic approach) / 8.1.2:
Coulomb scattering of s- / 8.1.3:
Coulomb scattering of charged spin-1/2 particles / 8.2:
Coulomb scattering of e- (wavefunction approach) / 8.2.1:
Coulomb scattering of e- (field-theoretic approach) / 8.2.2:
Trace techniques for spin summations / 8.2.3:
Coulomb scattering of e+ / 8.2.4:
e-s+ scattering / 8.3:
The amplitude for e-s+ → e-s+ / 8.3.1:
The cross section for e-s+ → e-s+ / 8.3.2:
Scattering from a non-point-like object: the pion form factor in e-π+ → e-π+ / 8.4:
e- scattering from a charge distribution / 8.4.1:
Lorentz invariance / 8.4.2:
Current conservation / 8.4.3:
The form factor in the time-like region: e+e- → π+π- and crossing symmetry / 8.5:
Electron Compton scattering / 8.6:
The lowest-order amplitudes / 8.6.1:
Gauge invariance / 8.6.2:
The Compton cross section / 8.6.3:
Electron muon elastic scattering / 8.7:
Electron-proton elastic scattering and nucleon form factors / 8.8:
Deep Inelastic Electron-Nucleon Scattering and the Parton Model / 8.8.1:
Inelastic electron-proton scattering: kinematics and structure functions / 9.1:
Bjorken scaling and the parton model / 9.2:
Partons as quarks and gluons / 9.3:
The Drell-Yan process / 9.4:
e+e- annihilation into hadrons / 9.5:
Loops and Renormalization / IV:
Loops and Renormalization I: The ABC Theory / 10:
The propagator correction in ABC theory / 10.1:
The Ο(g2) self-energy ΠC[2] (q2) / 10.1.1:
Mass shift / 10.1.2:
Field strength renormalization / 10.1.3:
The vertex correction / 10.2:
Dealing with the bad news: a simple example / 10.3:
Evaluating ΠC[2] (q2) / 10.3.1:
Regularization and renormalization / 10.3.2:
Bare and renormalized perturbation theory / 10.4:
Reorganizing perturbation theory / 10.4.1:
The Ο(gph2) renormalized self-energy revisited: how counter terms are determined by renormalization conditions / 10.4.2:
Renormalizability / 10.5:
Loops and Renormalization II: QED / 11:
Counter terms / 11.1:
The Ο(e2) fermion self-energy / 11.2:
The Ο (e2) photon self-energy / 11.3:
The Ο (e2) renormalized photon self-energy / 11.4:
The physics of Πγ[2] (q2) / 11.5:
Modified Coulomb's law / 11.5.1:
Radiatively induced charge form factor / 11.5.2:
The running coupling constant / 11.5.3:
ΠC[2] in the s-channel / 11.5.4:
The Ο(e2) vertex correction, and Z1 = Z2 / 11.6:
The anomalous magnetic moment and tests of QED / 11.7:
Which theories are renormalizable - and does it matter? / 11.8:
Non-relativistic Quantum Mechanics / A:
Natural Units / B:
Maxwell's Equations: Choice of Units / C:
Special Relativity: Invariance and Covariance / D:
Dirac 5-Function / E:
Contour Integration / F:
Green Functions / G:
Elements of Non-relativistic Scattering Theory / H:
Time-independent formulation and differential cross section / H.1:
Expression for the scattering amplitude: Born approximation / H.2:
Time-dependent approach / H.3:
The Schrodinger and Heisenberg Pictures
Dirac Algebra and Trace Identities / J:
Dirac algebra / J.1:
γ matrices / J.1.1:
γ5 identities / J.1.2:
Hermitian conjugate of spinor matrix elements / J.1.3:
Spin sums and projection operators / J.1.4:
Trace theorems / J.2:
Example of a Cross Section Calculation / K:
The spin-averaged squared matrix element / K.1:
Evaluation of two-body Lorentz-invariant phase space in 'laboratory' variables / K.2:
Feynman Rules for Tree Graphs in QED / L:
External particles / L.1:
Propagators / L.2:
Vertices / L.3:
References
Index
Preface
Introductory Survey, Electromagnetism as a Gauge Theory, and Relativistic Quantum Mechanics / I:
The Particles and Forces of the Standard Model / 1:
10.

図書

図書
Ian J.R. Aitchison, Anthony J.G. Hey
出版情報: Boca Raton : CRC Press, c2013  xiv, 504 p., [4] p. of plates ; 24 cm
シリーズ名: Gauge theories in particle physics : a practical introduction ; v. 2
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目次情報: 続きを見る
Preface
Non-Abelian Symmetries / V:
Global Non-Abelian Symmetries / 12:
The Standard Model / 12.1:
The flavour symmetry SU(2)f / 12.2:
The nucleon isospin doublet and the group SU(2) / 12.2.1:
Larger (higher-dimensional) multiplets of SU(2) in nuclear physics / 12.2.2:
Isospin in particle physics: flavour SU(2)f / 12.2.3:
Flavour SU(3)f / 12.3:
Non-Abelian global symmetries in Lagrangian quantum field theory / 12.4:
SU(2)f and SU(3)f / 12.4.1:
Chiral symmetry / 12.4.2:
Problems
Local Non-Abelian (Gauge) Symmetries / 13:
Local SU(2) symmetry / 13.1:
The covariant derivative and interactions with matter / 13.1.1:
The non-Abelian field strength tensor / 13.1.2:
Local SU(3) Symmetry / 13.2:
Local non-Abelian symmetries in Lagrangian quantum field theory / 13.3:
Local SU(2) and SU(3) Lagrangians / 13.3.1:
Gauge field self-interactions / 13.3.2:
Quantizing non-Abelian gauge fields / 13.3.3:
QCD and the Renormalization Group / VI:
QCD I: Introduction, Tree Graph Predictions, and Jets / 14:
The colour degree of freedom / 14.1:
The dynamics of colour / 14.2:
Colour as an SU(3) group / 14.2.1:
Global SU(3)c invariance, and 'scalar gluons' / 14.2.2:
Local SU(3)c invariance: the QCD Lagrangian / 14.2.3:
The θ-term / 14.2.4:
Hard scattering processes, QCD tree graphs, and jets / 14.3:
Introduction / 14.3.1:
Two-jet events in pp collisions / 14.3.2:
Three-jet events in pp collisions / 14.3.3:
3-jet events in e+e- annihilation / 14.4:
Calculation of the parton-level cross section / 14.4.1:
Soft and collinear divergences / 14.4.2:
Definition of the two-jet cross section in e+e- annihilation / 14.5:
Further developments / 14.6:
Test of non-Abelian nature of QCD in e+e- → 4 jets / 14.6.1:
Jet algorithms / 14.6.2:
QCD II: Asymptotic Freedom, the Renormalization Group, and Scaling Violations / 15:
Higher-order QCD corrections to σ(e+e- → hadrons): large logarithms / 15.1:
The renormalization group and related ideas in QED / 15.2:
Where do the large logs come from? / 15.2.1:
Changing the renormalization scale / 15.2.2:
The RGE and large -q2 behaviour in QED / 15.2.3:
Back to QCD: asymptotic freedom / 15.3:
One loop calculation / 15.3.1:
Higher-order calculations, and experimental comparison / 15.3.2:
σ(e+e- → hadrons) revisited / 15.4:
A more general form of the RGE: anomalous dimensions and running masses / 15.5:
QCD corrections to the parton model predictions for deep inelastic scattering: scaling violations / 15.6:
Uncancelled mass singularities at order αs / 15.6.1:
Factorization, and the order αs DGLAP equation / 15.6.2:
Comparison with experiment / 15.6.3:
Lattice Field Theory, and the Renormalization Group Revisited / 16:
Discretization / 16.1:
Scalar fields / 16.2.1:
Dirac fields / 16.2.2:
Gauge fields / 16.2.3:
Representation of quantum amplitudes / 16.3:
Quantum mechanics / 16.3.1:
Quantum field theory / 16.3.2:
Connection with statistical mechanics / 16.3.3:
Renormalization, and the renormalization group, on the lattice / 16.4:
Two one-dimensional examples / 16.4.1:
Connections with particle physics / 16.4.3:
Lattice QCD / 16.5:
Introduction, and the continuum limit / 16.5.1:
The static qq potential / 16.5.2:
Calculation of α(MZ2) / 16.5.3:
Hadron masses / 16.5.4:
Spontaneously Broken Symmetry / VII:
Spontaneously Broken Global Symmetry / 17:
The Fabri-Picasso theorem / 17.1:
Spontaneously broken symmetry in condensed matter physics / 17.3:
The ferromagnet / 17.3.1:
The Bogoliubov superfluid / 17.3.2:
Goldstone's theorem / 17.4:
Spontaneously broken global U(1) symmetry: the Goldstone model / 17.5:
Spontaneously broken global non-Abelian symmetry / 17.6:
The BCS superconducting ground state / 17.7:
Chiral Symmetry Breaking / 18:
The Nambu analogy / 18.1:
Two flavour QCD and SU(2)f L × SU(2)f R / 18.1.1:
Pion decay and the Goldberger-Treiman relation / 18.2:
Effective Lagrangians / 18.3:
The linear and non-linear σ-models / 18.3.1:
Inclusion of explicit symmetry breaking: masses for pions and quarks / 18.3.2:
Extension to SU(3)f L × SU(3)f R / 18.3.3:
Chiral anomalies / 18.4:
Spontaneously Broken Local Symmetry / 19:
Massive and massless vector particles / 19.1:
The generation of 'photon mass' in a superconductor: Ginzburg-Landau theory and the Meissner effect / 19.2:
Spontaneously broken local U(1) symmetry: the Abelian Higgs model / 19.3:
Flux quantization in a superconductor / 19.4:
't Hooft's gauges / 19.5:
Spontaneously broken local SU(2) × U(1) symmetry / 19.6:
Weak Interactions and the Electroweak Theory / VIII:
Introduction to the Phenomenology of Weak Interactions / 20:
Fermi's 'current-current' theory of nuclear β-decay, and its generalizations / 20.1:
Parity violation in weak interactions, and V-A theory / 20.2:
Parity violation / 20.2.1:
V-A theory: chirality and helicity / 20.2.2:
Lepton number and lepton flavours / 20.3:
The universal current × current theory for weak interactions of leptons / 20.4:
Calculation of the cross section for νμ + e- → μ- + νe / 20.5:
Leptonic weak neutral currents / 20.6:
Quark weak currents / 20.7:
Two generations / 20.7.1:
Deep inelastic neutrino scattering / 20.7.2:
Three generations / 20.7.3:
Non-leptonic weak interactions / 20.8:
CP Violation and Oscillation Phenomena / 21:
Direct CP violation in B decays' / 21.1:
CP violation in B meson oscillations / 21.2:
Time-dependent mixing formalism / 21.2.1:
Determination of the angles α(φ2) and β( φ1) of the unitarity triangle / 21.2.2:
CP violation in neutral K-meson decays / 21.3:
Neutrino mixing and oscillations / 21.4:
Neutrino mass and mixing / 21.4.1:
Neutrino oscillations: formulae / 21.4.2:
Neutrino oscillations: experimental results / 21.4.3:
Matter effects in neutrino oscillations / 21.4.4:
The Glashow-Salam-Weinberg Gauge Theory of Electroweak Interactions / 21.4.5:
Difficulties with the current-current and 'naive' IVB models / 22.1:
Violations of unitarity / 22.1.1:
The problem of non-renormalizability in weak interactions / 22.1.2:
The SU(2) × U(1) electroweak gauge theory / 22.2:
Quantum number assignments; Higgs, W and Z masses / 22.2.1:
The leptonic currents (massless neutrinos): relation to current-current model / 22.2.2:
The quark currents / 22.2.3:
Simple (tree-level) predictions / 22.3:
The discovery of the W± and Z0 at the CERN pp collider / 22.4:
Production cross sections for W and Z in pp colliders / 22.4.1:
Charge asymmetry in W± decay / 22.4.2:
Discovery of the W± and Z0 at the pp collider, and their properties / 22.4.3:
Fermion masses / 22.5:
One generation / 22.5.1:
Three-generation mixing / 22.5.2:
Higher-order corrections / 22.6:
The top quark / 22.7:
The Higgs sector / 22.8:
Theoretical considerations concerning mH / 22.8.1:
Higgs boson searches and the 2012 discovery / 22.8.3:
Group Theory / M:
Definition and simple examples / M.1:
Lie groups / M.2:
Generators of Lie groups / M.3:
Examples / M.4:
SO (3) and three-dimensional rotations / M.4.1:
SU(2) / M.4.2:
SO(4): The special orthogonal group in four dimensions / M.4.3:
The Lorentz group / M.4.4:
SU(3) / M.4.5:
Matrix representations of generators, and of Lie groups / M.5:
The relation between SU(2) and SO(3) / M.6:
Geometrical Aspects of Gauge Fields / N:
Covariant derivatives and coordinate transformations / N.1:
Geometrical curvature and the gauge field strength tensor / N.2:
Dimensional Regularization / O:
Grassmann Variables / P:
Feynman Rules for Tree Graphs in QCD and the Electroweak Theory / Q:
QCD / Q.1:
External particles / Q.1.1:
Propagators / Q.1.2:
Vertices / Q.1.3:
The electroweak theory / Q.2:
References / Q.2.1:
Index
Preface
Non-Abelian Symmetries / V:
Global Non-Abelian Symmetries / 12:
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