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Simple exercises in λø4 theory |
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1 | (5) |
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6 | (2) |
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8 | (1) |
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Simple external field problem |
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9 | (2) |
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Path integral for a free particle |
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11 | (2) |
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Path integral for a general quadratic action |
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13 | (3) |
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Spreading of a wave packet |
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16 | (1) |
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Path integral for a harmonic oscillator |
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17 | (4) |
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Path integral for a partition function |
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21 | (2) |
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Partition function for an SHO system |
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23 | (2) |
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Non-standard path-integral representation |
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25 | (1) |
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Weyl ordering of operators |
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26 | (6) |
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Generating functional for a scalar field |
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32 | (3) |
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Poles in Green's function |
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35 | (2) |
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Counterterms in λø4 theory and in QED |
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37 | (2) |
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Divergences in non-linear chiral theory |
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39 | (2) |
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Divergences in lower-dimensional field theories |
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41 | (2) |
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n-Dimensional `spherical' coordinates |
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43 | (3) |
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Some integrals in dimensional regularization |
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46 | (3) |
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Vacuum polarization and subtraction schemes |
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49 | (4) |
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Renormalization of λø3 theory in n dimensions |
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53 | (4) |
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Renormalization of composite operators |
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57 | (2) |
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59 | (4) |
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Homogeneous renormalization-group equation |
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63 | (1) |
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Renormalization constants |
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64 | (3) |
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67 | (2) |
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Behaviour of g near a simple fixed point |
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69 | (1) |
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Running coupling near a general fixed point |
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70 | (1) |
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One-loop renormalization-group equation in massless λø4 theory |
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71 | (1) |
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β-function for the Yukawa coupling |
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72 | (3) |
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Solving the renormalization-group equation by Coleman's method |
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75 | (2) |
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Anomalous dimensions for composite operators |
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77 | (1) |
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Group theory and the quark model |
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Unitary and hermitian matrices |
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78 | (1) |
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79 | (1) |
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Reality of SU(2) representations |
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79 | (2) |
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An identity for unitary matrices |
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81 | (1) |
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An identity for SU(2) matrices |
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82 | (1) |
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SU(3) algebra in terms of quark fields |
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83 | (2) |
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Combining two spin 1/2 states |
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85 | (2) |
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The SU(2) adjoint representation |
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87 | (2) |
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Couplings of SU(2) vector representations |
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89 | (1) |
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90 | (3) |
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Spin wave function of three quarks |
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93 | (3) |
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Permutation symmetry in the spin-isospin space |
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96 | (1) |
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Combining two fundamental representations |
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97 | (3) |
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SU(3) invariant octet baryon-meson couplings |
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100 | (5) |
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Isospin wave functions of two pions |
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105 | (2) |
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Isospins in non-leptonic weak processes |
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107 | (3) |
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Another derivation of Noether's current |
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110 | (1) |
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Lagrangian with second derivatives |
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111 | (2) |
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Conservation laws in a non-relativistic theory |
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113 | (2) |
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Symmetries of the linear σ-model |
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115 | (7) |
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Spontaneous symmetry breaking in the σ-model |
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122 | (1) |
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123 | (3) |
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126 | (2) |
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128 | (2) |
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130 | (3) |
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SSB by two scalars in the vector representation |
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133 | (3) |
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Renormalization and symmetry |
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Path-integral derivation of axial anomaly |
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136 | (4) |
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Axial anomaly and η &arrow; γγ |
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140 | (2) |
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Soft symmetry breaking and renormalizability |
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142 | (1) |
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Calculation of the one-loop effective potential |
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143 | (3) |
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The Parton model and scaling |
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146 | (1) |
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Calculation of OPE Wilson coefficients |
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147 | (4) |
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σtot(e+e- &arrow; hadrons) and short-distance physics |
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151 | (4) |
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OPE of two charged weak currents |
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155 | (1) |
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The total decay rate of the W-boson |
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156 | (2) |
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The gauge field in tensor notation |
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158 | (3) |
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161 | (2) |
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General relativity as a gauge theory |
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163 | (2) |
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165 | (2) |
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Broken generators and Goldstone bosons |
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167 | (2) |
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Symmetry breaking by an adjoint scalar |
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169 | (2) |
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Symmetry breaking and the coset space |
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171 | (1) |
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Scalar potential and first-order phase transition |
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172 | (1) |
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Superconductivity as a Higgs phenomenon |
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173 | (2) |
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Propagator in the covariant Rξ gauge |
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175 | (1) |
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The propagator for a massive vector field |
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176 | (1) |
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Gauge boson propagator in the axial gauge |
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177 | (1) |
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Gauge boson propagator in the Coulomb gauge |
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178 | (2) |
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Gauge invariance of a scattering amplitude |
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180 | (1) |
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180 | (4) |
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184 | (2) |
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BRST charges and physical states |
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186 | (2) |
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Colour factors in QCD loops |
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188 | (3) |
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Running gauge coupling in two-loop |
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191 | (2) |
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Cross-section for three-jet events |
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193 | (5) |
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Operator-product expansion of two currents |
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198 | (3) |
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Calculating Wilson coefficients |
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201 | (4) |
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Chiral spinors and helicity states |
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205 | (1) |
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The polarization vector for a fermion |
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206 | (2) |
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The pion decay rate and fπn |
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208 | (4) |
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Uniqueness of the standard model scalar potential |
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212 | (1) |
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Electromagnetic and gauge couplings |
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213 | (1) |
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Fermion mass-matrix diagonalization |
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214 | (1) |
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An example of calculable mixing angles |
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215 | (1) |
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Conservation of the B-L quantum number |
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216 | (2) |
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Electroweak phenomenology |
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218 | (3) |
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Polarization asymmetry of Z &arrow; ff |
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221 | (1) |
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222 | (1) |
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Electron neutrino scatterings |
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223 | (2) |
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CP properties of kaon non-leptonic decays |
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225 | (1) |
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Z &arrow; HH is forbidden |
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226 | (1) |
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ΔI = 1/2 enhancement by short-distance QCD |
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227 | (3) |
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Scalar interactions and the equivalence theorem |
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230 | (4) |
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Two-body decays of a heavy Higgs boson |
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234 | (4) |
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Topics in flavourdynamics |
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Anomaly-free condition in a technicolour theory |
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238 | (1) |
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Pseudo-Goldstone bosons in a technicolour model |
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239 | (1) |
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Properties of Majorana fermions |
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239 | (5) |
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244 | (6) |
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Leptonic mixings in a vector-like theory |
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250 | (2) |
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Muonium-antimuonium transition |
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252 | (3) |
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Content of SU(5) representations |
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255 | (1) |
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Higgs potential for SU(5) adjoint scalars |
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256 | (2) |
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Massive gauge bosons in SU(5) |
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258 | (2) |
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Baryon number non-conserving operators |
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260 | (1) |
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260 | (3) |
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Spinor representations of SO(n) |
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263 | (4) |
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Relation between SO(2n) and SU(n) groups |
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267 | (2) |
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Construction of SO(2n) spinors |
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269 | (6) |
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275 | (5) |
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280 | (2) |
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282 | (1) |
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Monopole and angular momentum |
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283 | (6) |
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289 | (3) |
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An application of the saddle-point method |
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292 | (3) |
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A Euclidean double-well problem |
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295 | (6) |
| References |
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301 | (2) |
| Index |
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303 | |