| Preface | p. vii |
| Introduction | p. 1 |
| The transverse-spin structure function and the transversity distributions | p. 2 |
| A first look at g[subscript 2] | p. 3 |
| A prelude to transversity | p. 5 |
| Notation and terminology | p. 9 |
| Conventions | p. 11 |
| Polarised deeply-inelastic scattering | p. 13 |
| Basics of DIS | p. 14 |
| The unpolarised cross-section | p. 17 |
| Polarised cross-sections | p. 19 |
| Target polarisation | p. 22 |
| Forward virtual Compton scattering | p. 24 |
| Spin asymmetries | p. 26 |
| The partonic content of structure functions | p. 28 |
| Unpolarised structure functions | p. 31 |
| The longitudinal spin structure function | p. 33 |
| The transverse-spin structure function | p. 34 |
| Mellin moments of polarised structure functions | p. 39 |
| The first moment of g[subscript 1] | p. 40 |
| The Bjorken sum rule | p. 42 |
| The Wandzura-Wilczek relation | p. 43 |
| The Burkhardt-Cottingham sum rule | p. 44 |
| The Efremov-Leader-Teryaev sum rule | p. 46 |
| Experimental results on polarised structure functions | p. 46 |
| Transverse spin in electroweak DIS | p. 53 |
| The transverse-spin structure of the proton | p. 57 |
| The quark-quark correlation matrix | p. 57 |
| Leading-twist distribution functions | p. 59 |
| Probabilistic interpretation of distribution functions | p. 62 |
| Vector, axial and tensor charges | p. 65 |
| Quark-nucleon helicity amplitudes | p. 66 |
| The Soffer inequality | p. 68 |
| Transverse motion of quarks | p. 70 |
| Twist-three distributions | p. 75 |
| Sum rules for [Delta subscript T]f and gT | p. 81 |
| T-odd distributions | p. 83 |
| Model calculations | p. 87 |
| Models for the transversity distributions | p. 88 |
| Calculations of the tensor charges | p. 96 |
| Models for g[subscript 2] | p. 98 |
| The QCD evolution of transversity | p. 103 |
| The renormalisation-group equation | p. 104 |
| QCD evolution at leading order | p. 109 |
| QCD evolution at next-to-leading order | p. 115 |
| Fragmentation functions at next-to-leading order | p. 123 |
| Evolution of the transversity distributions | p. 126 |
| Evolution of the Soffer inequality and positivity constraints | p. 131 |
| The low-x behaviour of h[subscript 1] | p. 135 |
| The g[subscript 2] structure function in QCD | p. 137 |
| The operator-product expansion--non-singlet | p. 139 |
| Ladder-diagram summation | p. 143 |
| Singlet g[subscript 2] in LO | p. 146 |
| Non-singlet and singlet coefficients g[subscript 2] in NLO | p. 146 |
| Sum rules for g[subscript 2] in QCD | p. 147 |
| The Burkhardt-Cottingham sum rule in QCD | p. 147 |
| The Wandzura-Wilczek relation in QCD | p. 149 |
| The Efremov-Leader-Teryaev sum rule in QCD | p. 150 |
| Low-x behaviour of g2 | p. 150 |
| Twist-three evolution equations in the large-N[subscript c] limit | p. 151 |
| Evolution of the g2 fragmentation function | p. 154 |
| Transversity in Drell-Yan production | p. 157 |
| Double transverse-spin asymmetries | p. 157 |
| The Drell-Yan process | p. 158 |
| Z[superscript 0]-mediated Drell-Yan processes | p. 165 |
| Factorisation in Drell-Yan processes | p. 165 |
| Twist-three contributions to the Drell-Yan process | p. 171 |
| Predictions for Drell-Yan double transverse-spin asymmetries | p. 176 |
| Transversity at RHIC | p. 179 |
| Transversity in inclusive leptoproduction | p. 183 |
| Single-particle leptoproduction: definitions and kinematics | p. 183 |
| The partonic description of semi-inclusive DIS | p. 187 |
| The fragmentation matrix | p. 190 |
| Time reversal and transverse polarisation | p. 192 |
| Leading-twist fragmentation functions | p. 194 |
| [kappa subscript T]-dependent fragmentation functions | p. 197 |
| The Collins fragmentation function | p. 200 |
| Cross-sections and asymmetries of inclusive leptoproduction | p. 203 |
| Integrated cross-sections | p. 205 |
| Single-spin azimuthal asymmetries | p. 205 |
| Factorisation in semi-inclusive DIS | p. 211 |
| The collinear case | p. 211 |
| The non-collinear case | p. 216 |
| Sudakov form factors | p. 218 |
| Inclusive leptoproduction at twist three | p. 219 |
| Two-particle leptoproduction | p. 220 |
| Leptoproduction of spin-one hadrons | p. 229 |
| Transversity in exclusive leptoproduction processes | p. 231 |
| Phenomenological analyses and experimental results | p. 232 |
| [Lambda superscript 0] hyperson polarimetry | p. 232 |
| Azimuthal asymmetries in pion leptoproduction | p. 234 |
| Transverse polarisation in e[superscript +]e[superscript -] collisions | p. 241 |
| Experimental perspectives | p. 242 |
| HERMES | p. 242 |
| COMPASS | p. 243 |
| ELFE | p. 244 |
| TESLA-N | p. 244 |
| Transversity in inclusive hadroproduction | p. 245 |
| Inclusive hadroproduction with a transversely polarised target | p. 245 |
| Transverse motion of quarks and single-spin asymmetries | p. 248 |
| Single-spin asymmetries at twist three | p. 251 |
| Experimental results and phenomenology | p. 252 |
| Polarisation of a Dirac particle | p. 257 |
| The polarisation operator and spin vector | p. 257 |
| Longitudinal polarisation | p. 259 |
| Transverse polarisation | p. 260 |
| The spin density matrix | p. 261 |
| Sudakov decomposition of yectors | p. 263 |
| Projectors for structure functions | p. 265 |
| Reference frames | p. 267 |
| The [gamma]*N collinear frames | p. 267 |
| The hN collinear frames | p. 268 |
| Dimensional regularisation and minimal subtraction | p. 271 |
| Mellin-moment identities | p. 275 |
| Bibliography | p. 277 |
| Index | p. 291 |
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