50 YEARS OF YANG-MILLS THEORY

50 YEARS OF YANG-MILLS THEORY

CONTENTS


FRONT MATTER	i
INTRODUCTION	1
GAUGE INVARIANCE AND INTERACTIONS C. N. Yang	7
QUANTIZING GAUGE FIELD THEORIES	13
THE SPACE OF GAUGE FIELDS: ITS STRUCTURE AND GEOMETRY Bryce DeWitt	15
GHOSTS FOR PHYSICISTS	33
PERTURBATION THEORY FOR GAUGE-INVARIANT FIELDS V. N. Popov and L. D. Faddeev	40
BREAKING THE SYMMETRY	61
BROKEN SYMMETRY AND YANG–MILLS THEORY François Englert	65
TOWARDS THE STANDARD MODEL	97
THE MAKING OF THE STANDARD MODEL Steven Weinberg	99
Renormalization
RENORMALIZATION Gerard 't Hooft	121
FROM KOSZUL COMPLEXES TO GAUGE FIXING R. Stora	137
THE RENORMALIZATION CONTENT OF SLAVNOV–TAYLOR IDENTITIES Carlo Becchi	168
ANOMALIES	183
ANOMALIES TO ALL ORDERS Stephen L. Adler	187
FIFTY YEARS OF YANG–MILLS THEORY AND OUR MOMENTS OF TRIUMPH R. Jackiw	229
ASYMPTOTIC FREEDOM	253
YANG–MILLS THEORY IN, BEYOND, AND BEHIND OBSERVED REALITY Frank Wilczek	255
MAGNETIC MONOPOLES	269
TO BE OR NOT TO BE?: Magnetic Monopoles in Non-Abelian Gauge Theories F. Alexander Bais	271
QUARK CONFINEMENT AND STRINGS	309
CONFINEMENT AND LIBERATION A. M. Polyakov	311
FIXING THE GAUGE CONDITION NON-PERTURBATIVELY	331
NON-PERTURBATIVE ASPECTS OF GAUGE FIXING Pierre van Baal	333
THE LATTICE	355
YANG–MILLS FIELDS AND THE LATTICE Michael Creutz	357
FERMIONS ON THE LATTICE	375
CHIRAL SYMMETRY ON THE LATTICE P. Hasenfratz	377
CONFRONTATION WITH EXPERIMENT	399
FIFTY YEARS OF YANG–MILLS THEORIES: A Phenomenological Point of View Alvaro De Rújula	401
SUPERSYMMETRY AND SUPERGRAVITY	431
SUPERGRAVITY AS A YANG–MILLS THEORY Peter van Nieuwenhuizen	433
PHYSICS OF THE 21ST CENTURY	457
GAUGE/STRING DUALITY FOR WEAK COUPLING Edward Witten	459
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