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| Field quantization | |
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| Simple exercises in [lambda phis superscript 4] theory | |
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| Auxiliary field | |
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| Disconnected diagrams | |
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| Simple external field problem | |
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| Path integral for a free particle | |
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| Path integral for a general quadratic action | |
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| Spreading of a wave packet | |
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| Path integral for a harmonic oscillator | |
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| Path integral for a partition function | |
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| Partition function for an SHO system | |
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| Non-standard path-integral representation | |
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| Weyl ordering of operators | |
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| Generating functional for a scalar field | |
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| Poles in Green's function | |
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| Renormalization | |
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| Counterterms in [lambda phis superscript 4] theory and in QED | |
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| Divergences in non-linear chiral theory | |
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| Divergences in lower-dimensional field theories | |
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| n-Dimensional 'spherical' coordinates | |
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| Some integrals in dimensional regularization | |
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| Vacuum polarization and subtraction schemes | |
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| Renormalization of [lambda phis superscript 3] theory in n dimensions | |
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| Renormalization of composite operators | |
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| Cutkosky rules | |
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| Renormalization group | |
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| Homogeneous renormalization-group equation | |
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| Renormalization constants | |
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| [beta]-function for QED | |
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| Behaviour of g near a simple fixed point | |
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| Running coupling near a general fixed point | |
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| One-loop renormalization-group equation in massless [lambda phis superscript 4] theory | |
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| [beta]-function for the Yukawa coupling | |
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| Solving the renormalization-group equation by Coleman's method | |
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| Anomalous dimensions for composite operators | |
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| Group theory and the quark model | |
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| Unitary and hermitian matrices | |
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| SU(n) matrices | |
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| Reality of SU(2) representations | |
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| An identity for unitary matrices | |
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| An identity for SU(2) matrices | |
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| SU(3) algebra in terms of quark fields | |
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| Combining two spin-1/2 states | |
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| The SU(2) adjoint representation | |
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| Couplings of SU(2) vector representations | |
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| Isospin breaking effects | |
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| Spin wave function of three quarks | |
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| Permutation symmetry in the spin-isospin space | |
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| Combining two fundamental representations | |
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| SU(3) invariant octet baryon-meson couplings | |
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| Isospin wave functions of two pions | |
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| Isospins in non-leptonic weak processes | |
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| Chiral symmetry | |
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| Another derivation of Noether's current | |
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| Lagrangian with second derivatives | |
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| Conservation laws in a non-relativistic theory | |
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| Symmetries of the linear [sigma]-model | |
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| Spontaneous symmetry breaking in the [sigma]-model | |
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| PCAC in the [sigma]-model | |
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| Non-linear [sigma]-model I | |
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| Non-linear [sigma]-model II | |
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| Non-linear [sigma]-model III | |
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| SSB by two scalars in the vector representation | |
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| Renormalization and symmetry | |
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| Path-integral derivation of axial anomaly | |
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| Axial anomaly and [eta] [right arrow] [gamma gamma] | |
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| Soft symmetry breaking and renormalizability | |
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| Calculation of the one-loop effective potential | |
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| The Parton model and scaling | |
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| The Gottfried sum rule | |
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| Calculation of OPE Wilson coefficients | |
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| [sigma subscript tot](e[superscript +]e[superscript -] [right arrow] hadrons) and short-distance physics | |
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| OPE of two charged weak currents | |
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| The total decay rate of the W-boson | |
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| Gauge symmetries | |
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| The gauge field in tensor notation | |
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| Gauge field and geometry | |
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| General relativity as a gauge theory | |
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| O(n) gauge theory | |
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| Broken generators and Goldstone bosons | |
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| Symmetry breaking by an adjoint scalar | |
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| Symmetry breaking and the coset space | |
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| Scalar potential and first-order phase transition | |
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| Superconductivity as a Higgs phenomenon | |
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| Quantum gauge theories | |
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| Propagator in the covariant R[subscript xi] gauge | |
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| The propagator for a massive vector field | |
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| Gauge boson propagator in the axial gauge | |
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| Gauge boson propagator in the Coulomb gauge | |
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| Gauge invariance of a scattering amplitude | |
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| Ward identities in QED | |
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| Nilpotent BRST charges | |
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| BRST charges and physical states | |
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| Quantum chromodynamics | |
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| Colour factors in QCD loops | |
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| Running gauge coupling in two-loop | |
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| Cross-section for three-jet events | |
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| Operator-product expansion of two currents | |
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| Calculating Wilson coefficients | |
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| Electroweak theory | |
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| Chiral spinors and helicity states | |
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| The polarization vector for a fermion | |
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| The pion decay rate and f[subscript pi] | |
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| Uniqueness of the standard model scalar potential | |
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| Electromagnetic and gauge couplings | |
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| Fermion mass-matrix diagonalization | |
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| An example of calculable mixing angles | |
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| Conservation of the B - L quantum number | |
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| Electroweak phenomenology | |
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| Atomic parity violation | |
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| Polarization asymmetry of Z [right arrow] ff | |
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| Simple [tau]-lepton decays | |
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| Electron neutrino scatterings | |
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| CP properties of kaon non-leptonic decays | |
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| Z [right arrow] HH is forbidden | |
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| [Delta]I = 1/2 enhancement by short-distance QCD | |
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| Scalar interactions and the equivalence theorem | |
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| Two-body decays of a heavy Higgs boson | |
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| Topics in flavourdynamics | |
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| Anomaly-free condition in a technicolour theory | |
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| Pseudo-Goldstone bosons in a technicolour model | |
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| Properties of Majorana fermions | |
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| [mu] [right arrow] e[gamma] and heavy neutrinos | |
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| Leptonic mixings in a vector-like theory | |
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| Muonium-antimuonium transition | |
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| Grand unification | |
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| Content of SU(5) representations | |
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| Higgs potential for SU(5) adjoint scalars | |
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| Massive gauge bosons in SU(5) | |
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| Baryon number non-conserving operators | |
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| SO(n) group algebra | |
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| Spinor representations of SO(n) | |
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| Relation between SO(2n) and SU(n) groups | |
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| Construction of SO(2n) spinors | |
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| Magnetic monopoles | |
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| The Sine-Gordon equation | |
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| Planar vortex field | |
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| Stability of soliton | |
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| Monopole and angular momentum | |
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| Instantons | |
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| The saddle-point method | |
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| An application of the saddle-point method | |
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| A Euclidean double-well problem | |
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| References | |
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| Index | |