String Theory and Fundamental Interactions : Gabriele Veneziano and Theoretical Physics: Historical and Contemporary Perspectives

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Format: Hardcover
Pub. Date: 2008-01-30
Publisher(s): Springer Verlag
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Summary

This volume, dedicated to Prof. Gabriele Veneziano on the occasion of his retirement from CERN, starts as a broad historico-scientific study on the work on string theory and nonperturbative QCD that has been pioneered by Prof. Veneziano in the late 60s and early 70s. It goes on to examine the many ramifications this and similar early work has spawned over the past decades and the reader will find state-of-the art tutorial reviews on string cosmology, string dualities and symmetries, and much more. The book includes a concise updated scientific biography of, and an interview with, Prof. Veneziano, in which he relates his personal views about the present and future of fundamental physics. This is followed by the commented draft of an unpublished paper of 1973 of his, anticipating interesting results which were rediscovered and published more than a decade later. Overall, this volume is a vast and unique canvas where the re-examination of older and the presentation of newer results and insights are skillfully mixed with personal recollections of the contributing authors, most of them involved in the early days of string and quantum field theory, about Prof. Veneziano and the many interrelated topics considered.

Table of Contents

Introduction
Gabriele Veneziano: A Concise Scientific Biography and an Interviewp. 3
Biographical Notesp. 3
List of Collaborators of Gabriele Veneziano (Updated to 2006)p. 10
An Interview with Gabriele Venezianop. 11
Referencesp. 16
An Unpublished Draft by Gabriele Veneziano (1973): "Non-local Field Theory Suggested by Dual Models"p. 29
Introduction and Content of the Paperp. 29
Yukawa's Non-local Field Theoryp. 31
The Zero Slope (Local) Limit of Dual Modelsp. 34
The Correspondence Principlep. 37
Non-Local, Classical Field Theoryp. 40
Smeared Fieldsp. 41
Referencesp. 43
Dual Resonance Models and String Theory
The Birth of the Veneziano Model and String Theoryp. 47
The Weizmann Institute in January 1966 and the Work Leading to the Veneziano Modelp. 47
The Dominant Problems from 1950 to 1970p. 49
The Breakthroughp. 54
The Early Phenomenologyp. 55
Conclusionp. 56
Referencesp. 57
The Birth of String Theoryp. 59
Introductionp. 59
Construction of the N-point Amplitudep. 64
Operator Formalism and Factorizationp. 72
The Case [alpha subscript 0] = 1p. 78
Physical States and Their Vertex Operatorsp. 85
The DDF States and Absence of Ghostsp. 90
The Zero Slope Limitp. 94
Loop Diagramsp. 97
From Dual Models to String Theoryp. 107
Conclusionsp. 114
Referencesp. 115
The Beginning of String Theory: A Historical Sketchp. 119
Introductionp. 119
Prehistory: the Discovery of the Dual Scattering Amplitudesp. 120
The String World Sheet Through Factorization of the N-point amplitudesp. 125
The Virasoro Conditionsp. 128
The Critical Dimensionp. 132
Conclusionsp. 134
Referencesp. 135
The Little Story of an Algebrap. 137
Introductionp. 137
The Contextp. 137
Referencesp. 143
Perturbative QCD
Parton Densities: A Personal Retrospectivep. 147
Referencesp. 149
Infrared-sensitive Physics in QCD and in Electroweak Theoryp. 151
Infrared-sensitive Observablesp. 151
QCD Form Factors, Multiplicities, Preconfinementp. 153
Inclusive Electroweak Double Logarithmsp. 155
Referencesp. 157
From QCD Lagrangian to Monte Carlo Simulationp. 159
The Statusp. 159
Structure of Monte Carlo generatorp. 160
The Long Way to Monte Carlop. 161
Multi-gluon Soft Distributionsp. 168
Monte Carlo Simulation for Soft Emissionp. 174
From Partons to Hadronsp. 176
Conclusionp. 177
Referencesp. 178
Fracture Functionsp. 181
Introduction and Motivationsp. 181
Formalism and Definitionsp. 184
Applications and Phenomenologyp. 201
Jet Cross sections and Fracture Functionsp. 214
Conclusionsp. 217
Referencesp. 218
Non-perturbative QCD
Coherence and Incoherence in QCD Jets Dynamics (QCD Jets and Branching Processes)p. 223
Introductionp. 223
Elementary Models and Unexplained Facts in Multiparticle Dynamics in the Early 1970sp. 224
KUV Differential Evolution Equations and the Advent of QCD in the Late 1970sp. 225
The Collaboration with Leon Van Hove, and the UA5 Collaboration Results at CERN pp Collider on Multiplicity Distributions, in Full Phase Space and in Restricted Pseudo-rapidity Windowsp. 228
New Experimental Findings on Final Charged Particle MD in e[superscript +]e[superscript -] Annihilation at LEP c.m. Energy, and More Precise Measurements on Final Particle MD at pp Collider Top c.m. Energy. The Occurrence of Substructures or Components in the Various Collisionsp. 231
New Physics at CERN. The Weighted Superposition of Three Classes of Events (Soft, Semihard, and Hard) in pp Collisions at LHCp. 233
Referencesp. 233
The U(1)[subscript A] Anomaly and QCD Phenomenologyp. 235
Introductionp. 235
The U(1)[subscript A] Anomaly and the Topological Susceptibilityp. 237
'U(1)[subscript A] Without Instantons'p. 245
Pseudoscalar Mesonsp. 252
Topological Charge Screening and the 'Proton Spin'p. 265
Polarised Two-photon Physics and a Sum Rule for g[superscript [gamma subscript 1]p. 279
Referencesp. 285
Planar Equivalence 2006p. 289
Planar Equivalence: a Refined Proofp. 290
The Orientifold Large-N Expansionp. 293
Applications for One-flavor QCDp. 294
Applications for Three-flavor QCDp. 295
Sagnotti's Model and the Gauge/String Correspondencep. 297
Charge Conjugation and the Validity of Planar Equivalencep. 297
Other Developmentsp. 298
Referencesp. 299
Supersymmetric Gauge Theories
Instantons and Supersymmetryp. 303
Introductionp. 303
Generalities about Instantonsp. 306
Chiral and Supersymmetric Ward-Takahashi Identitiesp. 315
Instanton Calculusp. 321
The Effective Action Approachp. 334
N = 2 SYM: Introductionp. 348
N = 2 SYM: Generalitiesp. 349
Seiberg-Witten Analysisp. 352
Checking the SW Formula by Instanton Calculationsp. 358
Topological Twist and Non-commutative Deformationp. 364
(Constrained) Instantons from Open Stringsp. 374
Instanton Effects in N = 4 SYMp. 385
N = 4 Supersymmetric Yang-Mills Theoryp. 386
Instanton Calculus in N = 4 SYMp. 390
One-instanton in N = 4 SYM with SU(N[subscript c]) Gauge Groupp. 394
Generalisation to Multi-instanton Sectorsp. 405
AdS/CFT Correspondence: a Brief Overviewp. 407
Instanton Effects in the AdS/CFT Dualityp. 412
Conclusionsp. 436
Referencesp. 463
The Magnetic Monopoles Seventy-five Years Laterp. 471
Color Confinementp. 472
Difficulties with the Semiclassical "Non-Abelian Monopoles"p. 474
Non-Abelian Monopoles from Vortex Modulip. 480
N = 2 Supersymmetric Gauge Theories and Light Non-Abelian Monopolesp. 482
Vorticesp. 494
The Modelp. 500
Confinement Near Conformal Vacuap. 507
Quantum Chromodynamicsp. 508
Conclusive Remarksp. 509
Referencesp. 519
String Dualities and Symmetries
Novel Symmetries of String Theoryp. 525
Introductionp. 525
Hamiltonian Formalism and BRS Quantizationp. 527
Canonical Transformations and Invariance Properties of [Sigma]p. 534
Symmetries of Massive String Excitationsp. 542
Summary and Conclusionsp. 549
Referencesp. 551
Threshold Effects Beyond the Standard Modelp. 553
Introductionp. 553
Threshold Effects of Extra Dimensionsp. 553
Superstring Threshold Correctionsp. 556
Referencesp. 559
Dualities in String Cosmologyp. 561
Introductionp. 561
Scale Factor Dualityp. 563
O(d, d) Symmetry to the Lowest Orderp. 564
O(d, d) Symmetry to the Next Orderp. 567
Discussionp. 569
Referencesp. 570
Spontaneous Breaking of Space-Time Symmetriesp. 573
Introductionp. 573
Spontaneous Breaking of Space Symmetriesp. 574
Spontaneous Breaking of Time-Translational Invariance and of Supersymmetryp. 590
Spontaneous Breaking of Conformal Invariancep. 597
O(N) Vector Models in d = 3: Spontaneous Breaking of Scale Invariance and the Vacuum Energyp. 599
Referencesp. 604
String/Quantum Gravity, Black Holes and Entropy
The Information Paradoxp. 609
Introductionp. 609
String Theories and Black Holesp. 610
The Role of Decoherencep. 612
High-energy Collisions in String Theory and Metric Back Reactionp. 613
Metric Back Reaction and Possible Avoidance of Black Holesp. 615
Conclusions and Outlookp. 615
Referencesp. 616
Cosmological Entropy Boundsp. 619
To Gabrielep. 619
Introductionp. 619
The Causal Entropy Boundp. 624
The Generalized Second Law and the Causal Entropy Boundp. 645
Area Entropy, Entanglement Entropy and Entropy Boundsp. 655
Referencesp. 658
Extremal Black Holes in Supergravityp. 661
Introduction: Extremal Black Holes from Classical General Relativity to String Theoryp. 661
Extremal Black Holes as Massive Representations of Supersymmetryp. 668
The General Form of the Supergravity Action in Four Dimensions and its BPS Configurationsp. 674
Supersymmetric Black Holes: General Discussionp. 694
BPS and Non-BPS Attractor Mechanism: The Geodesic Potentialp. 701
Detailed Analysis of Attractors in Extended Supergravities: BPS and Non-BPS Critical Pointsp. 713
Conclusionsp. 723
Referencesp. 724
Expectation Values and Vacuum Currents of Quantum Fieldsp. 729
Introductionp. 729
Lecture 1p. 730
Lecture 2p. 741
Lecture 3p. 752
Lecture 4p. 768
Referencesp. 783
String Cosmology
Dilaton Cosmology and Phenomenologyp. 787
Dilaton-dominated Inflation: the Pre-big Bang Scenariop. 789
The Relic Dilaton Backgroundp. 812
Late-time Cosmology: Dilaton Dark Energyp. 826
Referencesp. 842
Relic Gravitons and String Pre-big-bang Cosmologyp. 845
Introductionp. 845
Graviton Production in Cosmologyp. 847
Gravitational-wave Background in Pre-big-bang Inflationp. 853
Accessibility of LIGO to Pre-big-bang Modelsp. 857
Conclusionsp. 859
Referencesp. 860
Magnetic Fields, Strings and Cosmologyp. 863
Half a Century of Large-Scale Magnetic Fieldsp. 863
Magnetogenesisp. 869
Why String Cosmology?p. 892
Primordial or Not Primordial, This Is the Questionp. 902
Concluding Remarksp. 934
Referencesp. 935
Cosmological Singularities and a Conjectured Gravity/Coset Correspondencep. 941
Introductionp. 941
Cosmological Billiardsp. 942
Gravity/Coset Correspondencep. 944
A New View of the (quantum) Fate of Space at a Cosmological Singularityp. 946
Referencesp. 948
Brane Inflation: String Theory Viewed from the Cosmosp. 949
Introductionp. 949
Brane Inflationp. 956
Graceful Exitp. 961
Production and Properties of Cosmic Superstringsp. 964
Evolution and Detection of Cosmic Superstringsp. 966
Remarksp. 970
Referencesp. 972
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