Note: Book Cover -- Title -- Copyright -- Contents -- Preface -- The following abbreviations are used for the titles of Russian editions: -- 23-1 On Rayleigh's Pendulum -- 26-1 On Schr¨odinger's Wave Mechanics -- 26-2 On the Invariant Form of the Wave Equation and of the Equations of Motion for a Charged Massive Point -- 28-1 A Comment on Quantization of the Harmonic Oscillator in a Magnetic Field -- 28-2 On the Relation between the Integrals of the Quantum Mechanical Equations of Motion and the Schrodinger Wave Equation -- 28-3 Generalization and Solution of the Dirac Statistical Equation -- 28-4 Proof of the Adiabatic Theorem -- 29-1 On "Improper" Functions in Quantum Mechanics -- 29-2 On the Notion of Velocity in the Dirac Theory of the Electron -- 29-3 On the Dirac Equations in General Relativity -- 29-4 Dirac Wave Equation and Riemann Geometry -- 30-1 A Comment on the Virial Relation -- 30-2 An Approximate Method for Solving the Quantum Many-Body Problem -- 30-3 Application of the Generalized Hartree Method to the Sodium Atom -- 30-4 New Uncertainty Properties of the Electromagnetic Field -- 30-5 The Mechanics of Photons -- 32-1 A Comment on the Virial Relation in Classical Mechanics -- 32-2 Con.guration Space and Second Quantization -- 32-3 On Dirac's Quantum Electrodynamics -- 32-4 On Quantization of Electro-magnetic Waves and Interaction of Charges in Dirac Theory -- 32-5 On Quantum Electrodynamics -- 33-1 On the Theory of Positrons -- 33-2 On Quantum Exchange Energy -- 34-1 On the Numerical Solution of Generalized Equations of the Self-consistent Field -- 34-2 An Approximate Representation of the Wave Functions of Penetrating Orbits -- 34-3 On Quantum Electrodynamics -- 35-1 Hydrogen Atom and Non-Euclidean Geometry -- 35-2 Extremal Problems in Quantum Theory -- 36-1 The Fundamental Signi.cance of Approximate Methods in Theoretical Physics. , 37-1 The Method of Functionals in Quantum Electrodynamics -- 37-2 Proper Time in Classical and Quantum Mechanics -- 40-1 Incomplete Separation of Variables for Divalent Atoms -- 40-2 On the Wave Functions of Many-Electron Systems -- 43-1 On the Representation of an Arbitrary Function by an Integral Involving Legendre's Function with a Complex Index -- 47-1 On the Uncertainty Relation between Time and Energy -- 50-1 Application of Two-Electron Functions in the Theory of Chemical Bonds -- 54-1 On the Schr¨odinger Equation of the Helium Atom -- 57-1 On the Interpretation of Quantum Mechanics -- 59-1 On the Canonical Transformation in Classical and Quantum Mechanics -- Index.

Note: Intro -- Renormalization Groupand Fixed Points -- Preface -- Contents -- Acronyms -- 1 The Concept of the Renormalization Group -- 1.1 Effective Theories -- 1.2 RG Flow -- 1.3 UV and IR Limits and Fixed Points -- 1.4 The Continuum Limit -- References -- 2 Scalar Field Theories -- 2.1 Finding the RG Flow -- 2.2 Mapping the Space of Flows -- References -- 3 RG and Perturbation Theory -- 3.1 The Background Field Method -- 3.2 Triviality -- 3.3 RG Improvement -- References -- 4 Gauge Theories and Running Couplings -- 4.1 Quantum Electro-Dynamics -- 4.2 Decoupling in ms -- 4.3 Non-Abelian Gauge Theories -- 4.4 Banks-Zaks Fixed Points -- 4.5 The Standard Model and Grand Unification -- References -- 5 RG and Supersymmetry -- 5.1 Theories of Chiral Multiplets: Wess-Zumino Models -- 5.2 SUSY Gauge Theories -- 5.3 Vacuum Structure -- 5.4 RG Fixed Points -- 5.5 The Maximally SUSY Gauge Theory -- References.

Note: Intro -- Preface -- Acknowledgements -- Author biography -- Michael Strickland -- Units and conventions -- Chapter 1 QCD phenomenology -- 1.1 Electron-muon scattering -- Mott cross section -- 1.2 Form factors -- 1.3 Elastic electron-proton scattering and the proton form factors -- 1.4 Inelastic electron-proton scattering -- 1.5 The parton model and Bjorken scaling -- 1.6 Valence partons and sea partons -- 1.7 Beyond the naive parton model -- 1.7.1 Gluon emission cross section -- 1.7.2 Small-angle approximation -- 1.7.3 Embedding γ*-parton scattering in DIS -- 1.8 DGLAP evolution -- 1.9 Hadron production in e+e− collisions -- 1.10 Fragmentation functions -- 1.11 Solution of the DGLAP equations using Mellin moments -- 1.12 Drell-Yan scattering -- References -- Chapter 2 Weak interactions -- 2.1 Early models of the weak interaction -- 2.2 Muon decay -- Details for muon decay in the low-energy limit -- 2.3 Charged pion decay -- 2.4 Electron-neutrino and electron-antineutrino scattering -- 2.5 Neutrino-quark scattering -- 2.5.1 Charge raising current -- 2.5.2 Charge lowering current -- 2.5.3 Differential cross section -- 2.5.4 Embedding -- 2.6 Weak neutral currents -- 2.7 The Cabibbo angle and the CKM matrix -- 2.7.1 The Cabibbo-Kobayashi-Maskawa (CKM) matrix -- References -- Chapter 3 Electroweak unification and the Higgs mechanism -- Unifying the electromagnetic and weak Lagrangians -- 3.1 Electroweak Feynman rules -- 3.2 Massive gauge fields with local gauge symmetry -- 3.2.1 Spontaneous symmetry breaking -- 3.2.2 Breaking of a continuous local symmetry -- 3.3 Gauge boson masses in SU(2)L × U(1)Y -- 3.3.1 The resulting particle spectrum -- 3.3.2 Fermion masses -- 3.4 The discovery of the Higgs boson -- 3.4.1 The H→γγ decay channel -- 3.4.2 The H→ZZ→4l decay channel -- 3.4.3 The H→τ+τ− decay channel. , 3.4.4 Other decay channels and the nature of the Higgs -- References -- Chapter 4 Basics of finite temperature quantum field theory -- 4.1 Partition function for a quantum harmonic oscillator -- 4.1.1 The QHO canonical partition function in the energy basis -- 4.1.2 Computing the QHO partition function using the path integral formalism -- 4.2 The partition function for a free scalar field theory -- 4.2.1 Fourier representation of the fields -- 4.2.2 Tricks for evaluating sum-integrals -- 4.3 Free scalar thermodynamics -- 4.3.1 Low temperature limit -- 4.3.2 High-temperature limit -- 4.4 The need for resummation -- 4.5 Perturbative expansion of thermodynamics for a scalar field theory -- 4.5.1 One loop -- 4.5.2 Two loops -- 4.5.3 Three loops -- 4.5.4 Pressure through g5 -- 4.6 Screened perturbation theory -- 4.6.1 One-loop contribution -- 4.6.2 Two-loop contribution -- 4.6.3 Three-loop contribution -- 4.6.4 Pressure to three loops -- 4.6.5 Mass prescription -- 4.6.6 The tadpole mass prescription -- 4.6.7 Three-loop SPT Pressure -- References -- Chapter 5 Hard-thermal-loops for QED and QCD -- 5.1 Photon polarization tensor -- 5.1.1 Generalization to d-dimensions -- 5.1.2 The HTL polarization tensor -- 5.1.3 Generalization to QCD -- 5.2 Fermionic self-energy -- 5.3 Collective modes -- 5.3.1 Gluon modes -- 5.3.2 Quark modes -- 5.3.3 Collective modes in an isotropic QGP -- 5.3.4 Gluon modes -- 5.3.5 Landau damping -- 5.3.6 Quark modes -- 5.4 Hard-thermal-loop effective action -- 5.4.1 Minkowski-space HTL gluon propagator -- 5.4.2 Minkowski-space HTL quark propagator -- 5.4.3 Three-gluon vertex -- 5.4.4 Four-gluon vertex -- 5.4.5 Quark-gluon three-vertex -- 5.4.6 Quark-gluon four-vertex -- 5.4.7 Hard thermal loop effective Lagrangian -- 5.4.8 Euclidean space HTL effective Lagrangian and vertex functions -- 5.5 Hard-thermal-loop resummed thermodynamics. , 5.5.1 Contributions to the HTLpt thermodynamic potential through NNLO -- 5.5.2 NNLO HTLpt thermodynamic potential -- 5.5.3 NNLO result for equal chemical potentials -- 5.5.4 NNLO result-general case -- 5.5.5 Mass prescription -- 5.5.6 Thermodynamic functions and susceptibilities -- 5.5.7 Quark number susceptibilities -- 5.5.8 Baryon number susceptibilities -- Appendix A. Useful integrals -- References.

Note: Front Cover -- Path Integrals and Quantum Processes -- Copyright Page -- Table of Contents -- Preface -- Chapter One. Mathematical Preliminaries -- 1.1 The Dirac Delta -- 1.2 Completeness -- 1.3 Functionals -- 1.4 Matrices -- 1.5 Gaussian Integrals -- References -- Chapter Two. Quantum Mechanical Path Integrals -- 2.1 Quantum Mechanics -- 2.2 The Path Integral Derived -- 2.3 The Sum over Histories -- References -- Chapter Three. Evaluating the Path Integral -- 3.1 The Free Particle -- 3.2 Motion with a Source -- 3.3 Continuum Techniques -- 3.4 Topological Measure -- References -- Chapter Four. Further Applications -- 4.1 Natural Units -- 4.2 Statistical Mechanics -- 4.3 Symmetry and Generating Functionals -- 4.4 Harmonic Oscillator Coherent States -- 4.5 Spontaneously Broken Symmetry -- 4.6 Constraints -- References -- Chapter Five. Grassmann Variables -- 5.1 Basic Definitions -- 5.2 Gaussian Grassmann Integrals -- 5.3 Classical Grassman Mechanics -- 5.4 Grassmann Quantum Mechanics -- 5.5 Grassmann Path Integrals -- 5.6 Supersymmetric Quantum Mechanics -- References -- Chapter Six. Field Theory -- 6.1 A Mechanical Model -- 6.2 Relativity and Group Theory -- 6.3 Classical Free Fields -- 6.4 Symmetry and Noether's Theorem -- 6.5 Canonical Quantization -- 6.6 The S-Matrix -- 6.7 The Interaction Picture -- 6.8 The Path Integral for Field Theory -- References -- Chapter Seven. Gauge Field Theory -- 7.1 The Maxwell Field -- 7.2 QED as a Path Integral -- 7.3 Lie Algebras -- 7.4 Classical Yang-Mills Fields -- 7.5 Quantized Yang-Mills Fields -- 7.6 Topological Aspects of Gauge Fields -- References -- Chapter Eight. Perturbation Theory -- 8.1 Generating Functionals -- 8.2 Ward-Takahashi Identities -- 8.3 Deriving the Feynman Rules -- 8.4 Renormalization -- References -- Chapter Nine. Nonperturbative Results -- 9.1 The Goldstone Theorem. , 9.2 The Effective Potential -- 9.3 The Higgs-Kibble Mechanism -- 9.4 The SU(2)L x U(1) Electroweak Model -- 9.5 Chiral Anomalies -- 9.6 Classical Solutions -- 9.7 Applications of the Effective Potential -- References -- Index.

Note: Intro -- Insights from Chapter 1 -- Insights from Chapter 2 -- Insights from Chapter 3 -- Insights from Chapter 4 -- Insights from Chapter 5.

Note: Intro -- COMPLETION AND UNIFICATION OF QUANTUM MECHANICS WITH EINSTEIN'S GR IDEAS PART II: UNIFICATION WITH GR -- COMPLETION AND UNIFICATION OF QUANTUM MECHANICS WITH EINSTEIN'S GR IDEAS PART II: UNIFICATION WITH GR -- Contents -- Preface -- DependenciesbetweentheChapters -- DetailedPlan -- Acknowledgments -- NotationConventions -- Chapter1GeneralRelativityandQuantumMechanics -- 1.1IntroductiontoQMCompletion -- 1.2Self-GravitationalEffectsInsidetheParticle'sRest-MassDensity -- 1.3WhyQuantumMechanicsinMinkowskiTime-SpaceisanUnsatisfactoryApproximationofPhysicalReality? -- 1.4IntroductiontoGeneralRelativity -- 1.5Micro-IslandCurvatureMetricofaParticle:InitialandBoundaryConditions -- 1.6UnificationofQuantumMechanicsandGeneralRelativityTheory -- 1.6.1FoliationKinematicsofElementaryParticles -- Chapter2Higher-DimensionalSpaces:ChargeandSpin -- 2.1IntroductiontoCompactifiedHigher-DimensionalPhysics -- 2.2ElectricChargeandRevisitedKaluza-KleinTheory -- 2.3SpinMysteryandaSolutionConjecture -- 2.3.1IntroductiontoSpinOperators,LorentzInvariantTheoryofGravitationandTorsion -- 2.3.2Higher-DimensionalSpinConjecture -- Chapter3GeneralizedVectorKets,NewQuantumSuperpositions,ERPParadoxandConclusions -- 3.1Particle'sHyperdimensionalWave-PacketsandReductiontoMinkowskiTime-Space -- 3.2GeneralVectorKetsforChargedandNonSpin-ZeroParticles -- 3.3QuantumUnboundSuperpositionofMatter/EnergyStatesofIndividualParticles -- 3.4HiddenVariablesTheory:MoreaboutEPRParadox -- 3.5Conclusion -- Chapter4AppendixofPARTII -- 4.1LorentzTransformationsintheMinkowskiTime-Space -- 4.2HilbertSpaces -- 4.2.1TheoremsforCompactandClosedOperators -- 4.2.2TensorProductofHilbertSpaces -- 4.3ApplicationofHilbertSpacestoQuantumMechanics -- 4.3.1IntroductiontoProbabilisticInterpretationsandVectorKets -- 4.3.2BasicQuantumOperators -- 4.4HamiltonianandNon-HamiltonianMechanics. , 4.5IntroductiontoQFT -- 4.6VectorFieldsinEuclideanSpaceand(in)CompressibleFlows -- 4.7VectorFieldsonCurvedDifferentiableManifolds -- 4.7.1CovariantandLieDerivativesofFunctionsandTensors -- 4.7.2FoliationintoSpacelikeHypersurfaces -- References -- About the Author -- Index -- Blank Page.

Note: Cover -- Half Title -- Title Page -- Copyright Page -- Editor's Foreword -- Preface -- Table of Contents -- 1: Review of the Principles of Quantum Mechanics -- 2: Spin and Statistics -- 3: Rotations and Angular Momentum -- 4: Rules of Composition of Angular Momentum -- 5: Relativity -- 6: Electromagnetic and Fermi Couplings -- 7: Fermi Couplings and the Failure of Parity -- 8: Pion-Nucleon Coupling -- 9: Strange Particles -- 10: Some Consequences of Strangeness -- 11: Strong Coupling Schemes -- 12: Decay of Strange Particles -- 13: The Question of a Universal Coupling Coefficient -- 14: Rules for Strangeness Changing Decays: Experiments -- 15: Fundamental laws of Electromagnetics and β-Decay Coupling -- 16: Density of Final States -- 17: The Propagator for Scalar Particles -- 18: The Propagator in Configuration Space -- 19: Particles of Spin 1 -- 20: Virtual and Real Photons -- 21: Problems -- 22: Spin-1/2 Particles -- 23: Extension of Finite Mass -- 24: Properties of the Four-Component Spinor -- 25: The Compton Effect -- 26: Direct Pair Production by Muons -- 27: Higher-Order Processes -- 28: Self-Energy of the Electron -- 29: Quantum Electrodynamics -- 30: Meson Theory -- 31: Theory of β Decay -- 32: Properties of the β-Decay Coupling -- 33: Summary of the Course -- References -- Table of the Fundamental Particles.