QCD Spectral Sum RulesThe aim of the book is to give an introduction to the method of QCD Spectral Sum Rules and to review its developments. After some general introductory remarks, Chiral Symmetry, the Historical Developments of the Sum Rules and the necessary materials for perturbative QCD including the MS regularization and renormalization schemes are discussed. The book also gives a critical review and some improvements of the wide uses of the QSSR in Hadron Physics and QSSR beyond the Standard Hadron Phenomenology. The author has participated actively in this field since 1978 just before the expanding success of the SVZ QSSR. |
Contents
PREFACE | 1 |
L | 9 |
d The RGE for the twopoint correlator | 37 |
A MINIREVIEW OF SOME NONPERTURBATIVE ASPECTS OF | 61 |
3 | 68 |
g The vector correlator to two loops | 75 |
6 | 76 |
42 | 82 |
3 | 272 |
BARYON SYSTEMS | 293 |
GLUONIA SUM RULES AND LOWENERGY THEOREMS | 313 |
c The σ coupling to pairs of Goldstone bosons | 323 |
SCALAR MESONGLUONIUM MIXING FOR THE fo 975 | 333 |
xii | 339 |
PSEUDOS CALAR GLUONIUM | 345 |
EXOTICS HYBRIDS OR HERMAPHRODITE MESONS | 355 |
5 | 90 |
7 | 97 |
78 | 131 |
97 | 137 |
p MESON SPECTRAL SUM RULES AND THE DETERMINATION | 139 |
MODELLING THE DATA USING A QCDDUALITY ANSATZ | 149 |
WEINBERG AND AXIALVECTOR SUM RULES IN | 157 |
SU2 CHIRAL AND FLAVOUR SYMMETRY BREAKINGS | 175 |
THE STRANGE MASS | 204 |
2 | 215 |
SCALAR SUM RULES AND THE K 1 | 221 |
HEAVY QUARK SYSTEMS | 239 |
DETERMINATION OF THE HEAVYQUARK MASS | 245 |
Exponential moments | 254 |
CHAPTER | 257 |
HEAVYLIGHT QUARK SYSTEMS | 263 |
Nonrelativistic exponential moment | 266 |
HADRONIC AND RADIATIVE WIDTHS OF THE 1+ | 365 |
23 | 368 |
MASS AND COUPLINGS OF HEAVY HYBRIDS | 374 |
VERTEX SUM RULES FORM FACTORS AND WAVE FUNCTIONS | 383 |
WEAK DECAYS CP VIOLATION | 411 |
5 | 427 |
CHAPTER | 435 |
FURTHER USES OF THE SPECTRAL SUM RULES IN | 447 |
3 | 455 |
CAN THE W BE MUCH LIGHTER THAN THE COMPOSITENESS SCALE? | 459 |
SPIN ZERO PARTNERS OF COMPOSITE W AND Z BOSONS | 467 |
SPINTWO COMPOSITE BOSONS | 473 |
EPILOGUE | 495 |
B WEIGHT FACTORS OF SUN c | 501 |
E SOME USEFUL FORMULA FOR QSSR | 524 |
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Common terms and phrases
analysis ansatz approximation baryon behaviour Chapter chiral limit chiral symmetry continuum threshold contribution corresponding coupling current algebra decay constant deduce derive diagrams dimension dt e-tr duality ansatz effects estimate evaluation f₂ fermion FESR constraint four-quark condensates GeV-² GeV2 gluon condensate gluonia gluonium Goldstone boson hadronic heavy-quark instanton Lagrangian Laplace transform lattice Lett light-quark loops low-energy lowest meson mixing moments Narison non-perturbative Nucl obtained optimal p² m² parameters PCAC perturbative phenomenological Phys pion pole mass prediction pseudoscalar QCD continuum QCD expression QSSR quark condensate quark mass ratio renormalization resonance result in Eq scalar spectral function strange-quark SU(n sum rule sum-rule t-behaviour T-stability tc GeV² term tion two-point correlator vector versus vertex width αβ μα
References to this book
Dynamics of the Standard Model John F. Donoghue,Eugene Golowich,Barry R. Holstein No preview available - 1994 |
Dynamics of the Standard Model John F. Donoghue,Eugene Golowich,Barry R. Holstein Limited preview - 1994 |