Functional Methods in Quantum Field Theory.- I. Introduction.- II. Path Integrals.- 1. The classical action.- 2. The Feynman postulates.- 3. Quantum mechanics.- 4. The classical limit.- 5. The Euclidean postulate.- 6. Field theory at finite temperature.- III. Feynman Diagrams.- 1. Graphical representation of the path integral.- 2. Propagators.- 3. Feynman rules.- 4. Diagrammatic evaluation of Gaussian integrals.- 5. The effective potential.- 6. The effective potential at finite temperature.- IV. Fermions.- 1. The Grassmann algebra.- 2. Gaussian integrals and the superdeterminant.- 3. Applications.- V. Ghosts.- 1. Ghost fields and fictitious particles.- 2. Ghost fields in Feynman diagrams.- 3. Ghost counting.- References.- to Electro-Weak Interactions.- I. Introduction.- II. Gauge Invariance.- III. Spontaneous Symmetry Breaking.- 1. Introduction.- 2. Goldstone bosons.- 3. Higgs mechanism.- 4. Pseudo-Goldstone bosons.- IV. The Standard Model.- 1. Couplings.- 2. Gauge boson masses.- V. Anomalies.- VI. Fermi Mass Matrix.- 1. Mixing angles and phases.- 2. Symmetries of Yukawa couplings.- 3. Leptons.- VII. CP.- 1. $$rm K^Obar{{K}}^O$$ system phenomenology.- 2. Models of CP violation.- 3. Neutron electric dipole moment.- 4. Strong CP violation and axion.- VIII. Things to look for.- 1. W, Z bosons.- 2. More gauge bosons.- 3. New fermions.- 4. Higgs bosons.- 5. Rare decay modes.- References.- The Weak Interactions in the Confining Phase.- References.- Heavy Quark Systems.- Electron-Positron Interactions at High Energies.- I. Introduction.- II. PETRA and PEP.- 1. PETRA.- 2. PEP.- III. The structure of Leptons.- IV. Weak Neutral Current Contributions to Lepton Pair Production.- V. Search for new Particles.- 1. Excited leptons.- 2. Search for heavy sequential lepton.- 3. Neutral heavy lepton.- 4. Supersymmetric scalar leptons.- 5. Free quarks.- VI. Jet Formation in e+e? annihilation.- 1. The quark parton model.- 2. Elements of QCD.- 3. QCD modifications to R.- 4. Gluon Bremsstrahlung.- 5. Quantitative comparison of jet production with QCD.- 6. The gluon spin.- 7. Alternative explanations of the three-jet events '.- 8. The value of ?S and the next to leading order corrections.- 9. Summary of the QCD tests.- VII. Quark and Gluon Fragmentation.- 1. Energy carried by neutrals.- 2. Charged particle multiplicity.- 3. Inclusive particle spectra without particle identification.- 4. Particle separated cross-sections.- 5. The scaled particle cross-sections.- 6. Where are all the baryons from '.- 7. Gluon fragmentation.- References.- e+e? Collisions at CESR.- I. CESR, CLEO and CUSB.- II. Upsilon bound state spectroscopy and tests of QCD.- 1. Masses and potential models.- 2. Leptonic widths.- 3. Evidence for the decay of the T(ls) into 3 gluons.- 4. Rate for T(ls) decay into 3 gluons.- 5. Particle yields in T(ls) decays.- 6. Hadronic transitions.- III. B Meson Decays and Tests of the standard weak interaction.- 1. Production.- 2. The spectator model.- 3. Leptonic decays.- 4. Neutral currents and other unorthodox B decays models.- 5. Ratio of b ? uW? and b ? cW? rates.- 6. Exclusive B decays.- References.- e+e? Physics at Very Large Energies.- O. Abstract.- I. Introduction.- 1. "Low energy" e+e? phenomenology.- 2. Energy scale to study the weak interaction.- 3. How to get there '.- II. Interference between electromagnetic and neutral weak currents.- 1. Neutral weak couplings.- 2. Observables of the reaction e+e? ? $$rm fbar{{f}}$$.- 3. Two particular cases.- 4. Examples.- 5. Conclusions.- III. Z° Decays.- 1. Z° production.- 2. Production of new charged leptons.- 3. Production of heavy quarks.- 4. Production of $$vbar{{v}}$$ pairs.- 5. Other fundamental objects.- IV. W+W? Production.- 1. Single W production.- 2. W+W? production.- 3. Further tests of gauge couplings.- V. Higgs Bosons.- 1. Minimal model.- 2. Minimal Higgs Production.- 3. More complicated Higgs sector.- 4. Higgs versus hypercolour.- VI. Conclusions.- References.- Theoretical Aspects in Perturbative QCD.- I. Introduction.- II. The LLA and beyond.- III. The Photon Structure Functions.- IV. Prescription and Scale dependence for the running coupling.- V. Spacelike and Timelike Structure Functions beyond LLA.- VI. An Asymptotic Formula for Multiplicities.- VII. The Sudakov Form Factor of Partons.- VIII. Examples of Doubly Logarithmic Effects of Physical Interest.- References.- Dynamical Mass Generation For Quarks and Leptons.- I. Introduction.- II. Technicolour and its Extension.- III. ETC Issues, Answers and Problems.- 1. Isospin violation in the quark and lepton mass matrices.- 2. Hierarchies in the quark and lepton mass matrices.- 3. Vacuum alignment.- 5. Pseudo-Goldstone bosons.- 6. CP.- 7. Flavour changing neutral currents.- IV. Alternatives to ETC '.- V. Composite Quarks and Leptons.- References.- Quark Confinement and Lepton Liberation in an Anisotropic Space Time.- I. Introduction.- II. Is Hadron Dynamics 2-dimensional '.- III. The Anisotropic Space-Time.- IV. The Anisotropic Yang-Mills Interactions.- 1. The pure gauge-system.- 2. Introducing Fermionic matter.- 3. The dynamics of the full quantum theory.- V. Quantum Fluctuations and the Role of Chirality.- 1. The survival of colour confinement.- 2. The liberation of leptons.- VI. Gauge Invariance Restored.- 1. The colour interaction.- 2. The chiral interaction.- VII. The Structure of Strong Interactions.- 1. The classical dynamics.- 2. The quantum dynamics.- 3. Why can we use perturbation theory '.- References.- Physics at Collider Energies.- I. Introduction.- II. Hunting the Weak Vector Bosons.- 1. The Drell-Yan process.- 2. The production of the weak bosons.- 3. Search for Higgs mesons.- 4. Search for quarkonia.- III. The Dominant Hadron Processes.- 1. Overview.- 2. Hadron interactions at ISR energies and their extrapolations.- 3. Some information from cosmic ray results.- 4. The centauro events.- IV. Jet Phenomena.- 1. Large PT production and jets.- 2. Jet yields at collider energy.- 3. Jet yields and weak boson decay.- 4. Heavy quark production.- 5. An intense colour source.- V. Conclusion.- References.- Proton Lifetime Experiments.- I. Theoretical Preamble.- II. The Experimental Problem.- 1. The general idea.- 2. The signal.- 3. Muon background.- 4. Neutrino background.- 5. Other backgrounds.- III. Status of N Decay Studies.- 1. 3 recent results.- 2. Homestake mine.- 3. Case-Western-Irvine.- 4. Kolar Gold field experiment.- IV. The Future.- 1. The very near future.- 2. The more remote future.- V. Other Possibilities Offered by these Set-Ups.- 1. Detection of GUTs monopoles.- 2. Relics.- 3. Neutrino oscillations.- VI. n -- $$rm bar{{n}}$$ Oscillations.- References.- Quantum Field Theory and Cosmology.- I. Introduction.- II. The Hot Big Bang Theory.- 1. The cosmological field equations.- 2. The adiabatic expansion.- 3. Successful predictions of the hot big bang theory.- 4. The disease.- III. Entropy Generation.- 1. The exponential expansion.- 2. Quantum creation of Black Holes.- 3. The transition to the adiabatic expansion.- IV. Quantum Gravity.- 1. The rise and fall of a universe.- 2. The structure of quantum gravity.- References.- The Confinement Phenomenon in Quantum Field Theory.- O. Abstract.- I. Introduction.- II. Scalar Field Theory.- III. Bose Condensation.- IV. Goldstone Particles.- V. Higgs Mechanism.- VI. Vortex Tubes.- VII. Dirac''s Magnetic Monopoles.- VIII. Unitary Gauge.- IX. Phantom Solitons.- X. Non-Abelian Gauge Theory.- XI. Unitary Gauge.- XII. A Topological Object.- XIII. The Macroscopic Variables.- XIV. The Dirac Condition in the EM Charge Spectrum.- XV. Oblique Confinement.- XVI. Fermions out of Bosons and vice-versa.- XVII. Other Condensation Modes.- References.- Developments in Particle Physics.- I. The Fermion Family.- II. On Symmetry Breaking.- III. Neutrinos.- 1. Solar neutrino oscillations.- 2. Oscillations of terrestrial neutrinos.- 3. Endpoint experiments.- 4. Double beta decay.- 5. Cosmology missing mass.- IV, Majorons.- V. Axions.- VI. The Future.