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1.

図書

図書
edited by Lamberto Cesari, Jack K. Hale, Joseph P. LaSalle
出版情報: New York : Academic Press, 1976  2 v. ; 24 cm
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2.

図書

図書
editor Victor Broïda ; co-editors Derek H. Barlow, Otto Schäfer
出版情報: London : Butterworths, 1964  2 v. ; 29 cm
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3.

図書

図書
edited by P. Eykhoff
出版情報: Amsterdam : North-Holland Pub. Co , New York : American Elsevier, 1973  2 v. ; 27 cm
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4.

図書

図書
edited by Badri N. Sahney
出版情報: Dordrecht ; Boston : D. Reidel Pub. Co., c1979  vii, 321 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 49
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5.

図書

図書
edited by Lárus Thorlacius and Thordur Jonsson
出版情報: Dordrecht : Kluwer Academic Publishers, c2000  xviii, 454 p. ; 25 cm
シリーズ名: NATO science series ; Ser. C . Mathematical and physical sciences ; v. 556
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目次情報: 続きを見る
Preface
D Branes in String Theory, I / P. Di Vecchia ; A. Liccardo1:
Introduction
Perturbative String Theory / 2:
Conformal Field Theory Formulation / 3:
T-Duality / 4:
Classical Solutions Of The Low-Energy String Effective Action / 5:
Bosonic Boundary State / 6:
Fermionic Boundary State / 7:
Classical Solutions From Boundary State / 8:
Interaction Between a p and a p' Brane / 9:
Moduli Spaces of Calabi-Yau Compactifications / J. Louis
A short story about string theory, F-theory and M-theory
String Theory / 2.1:
Calabi-Yau compactifications / 2.2:
String Dualities / 2.3:
F-Theory / 2.4:
M-Theory / 2.5:
Three Triplets of Dualities / 2.6:
The q = 16 triplet
The q = 8 triplets
Calabi-Yau manifolds / A:
The M(atrix) Model of M-Theory / W. Taylor
Matrix theory from the quantized supermembrane
Review of light-front string
The bosonic membrane theory
The light-front bosonic membrane
Matrix regularization
The bosonic membrane in a general background
The supermembrane
Covariant membrane quantization / 2.7:
The BFSS conjecture
Membrane "instability" / 3.1:
M-theory / 3.2:
Matrix theory as a second quantized theory / 3.3:
Matrix theory and DLCQ M-theory / 3.5:
M-theory objects from matrix theory
Supergravitons / 4.1:
Membranes / 4.2:
5-branes / 4.3:
Extended objects from matrices / 4.4:
Interactions in matrix theory
Two-body interactions / 5.1:
The N-body problem / 5.2:
Longitudinal momentum transfer / 5.3:
Matrix theory in a general background
T-duality / 6.1:
Matrix theory on tori / 6.2:
Matrix theory in curved backgrounds / 6.3:
Outlook
The Holographic Principle / D. Bigatti ; L. Susskind
Black Hole Complementarity
The Schwarzschild Black Hole / 1.1:
Penrose Diagrams / 1.2:
Black Hole Thermodynamics / 1.3:
The Thermal Atmosphere / 1.4:
The Quantum Xerox Principle / 1.5:
Information Retention Time / 1.6:
Quantum Xerox Censorship / 1.7:
Baryon Violation and Black Hole Horizons / 1.8:
String Theory at High Frequency / 1.9:
The Space Time Uncertainty Relation / 1.10:
Entropy Bounds
Maximum Entropy
Entropy on Light-Like Surfaces
Robertson Walker Geometry
Bousso's Generalization
The AdS/CFT Correspondence and the Holographic Principle
AdS Space
Holography in AdS Space
The AdS/CFT Correspondence
The Infrared Ultraviolet Connection
Counting Degrees of Freedom
AdS Black Holes / 3.6:
The Horizon / 3.7:
The Flat Space Limit
High Energy Gravitons Deep in the Bulk
Kaluza Klein Modes
Born-Infeld Actions and D-Brane Physics / C.G. Callan
D-Brane Solitons and the Born-Infeld Action
Born-Infeld Dynamics of Branes in Flat Space
Branes in Curved Space and the Gauge Theory Connection
Born-Infeld Analysis of the Baryon Vertex
Applications of the AdS/CFT Correspondence
Summary
Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces / R. Britto-Pacumio ; J. Michelson ; A. Strominger ; A. Volovich
A Simple Example of Conformal Quantum Mechanics
Conformally Invariant N-Particle Quantum Mechanics
Superconformal Quantum Mechanics
A Brief Diversion on Supergroups
Quantum Mechanical Supermultiplets
Osp(1|2)-Invariant Quantum Mechanics
D(2, 1; [alpha])-Invariant Quantum Mechanics
The Quantum Mechanics of a Test Particle in a Reissner-Nordstrom Background
Quantum Mechanics on the Black Hole Moduli Space
The black hole moduli space metric
The Near-Horizon Limit
Conformal Symmetry
Discussion
Differential Geometry with Torsion
Large-N Gauge Theories / Y. Makeenko
O(N) Vector Models
Four-Fermi Interaction
Bubble graphs as zeroth order in 1/N
Scale and Conformal Invariance of Four-Fermi Theory
Nonlinear sigma model
Large-N factorization in vector models
Large-N QCD
Index or ribbon graphs
Planar and non-planar graphs
Topological expansion and quark loops
Large-N[subscript c] factorization
The master field
1/N[subscript c] as semiclassical expansion
QCD in Loop Space
Observables in terms of Wilson loops
Schwinger-Dyson equations for Wilson loop
Path and area derivatives
Loop equations
Relation to planar diagrams / 4.5:
Loop-space Laplacian and regularization / 4.6:
Survey of non-perturbative solutions / 4.7:
Wilson loops in QCD[subscript 2] / 4.8:
Large-N Reduction
Reduction of scalar field
Reduction of Yang-Mills field
R[superscript d]-symmetry in perturbation theory
Twisted reduced model / 5.4:
Introduction to Random Surfaces / T. Jonsson
Random paths
Lattice paths
Dynamically triangulated paths
Branched polymers
Extrinsic properties
Intrinsic properties
Dynamicaly triangulated surfaces
Definitions
Basic properties
The string tension
Further results
Lattice surfaces
Critical behaviour
Conclusion
Lorentzian and Euclidean Quantum Gravity--Analytical and Numerical Results / J. Ambjorn ; J. Jurkiewicz ; R. Loll
Lorentzian gravity in 2d
The discrete model
The continuum limit
Topology changes and Euclidean quantum gravity
Baby universe creation
The fractal dimension of Euclidean 2d gravity
Euclidean quantum gravity
Some generalities
Dynamical triangulations
The functional integral
Inclusion of matter fields
Numerical setup
Monte Carlo method and ergodic moves
Observables in 2d Euclidean gravity
Comments on the 2d results
Dynamically triangulated quantum gravity in d ] 2
Generalization to higher dimensions
Numerical results in higher dimensions
Index
Preface
D Branes in String Theory, I / P. Di Vecchia ; A. Liccardo1:
Introduction
6.

図書

図書
edited by A. Comtet, T. Jolicœur, S. Ouvry and F. David
出版情報: Berlin : Springer in cooperation with the NATO Scientific Affair Division , Les Ulis : EDP sciences, 1999  xxxiv, 909 p. ; 23 cm
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目次情報: 続きを見る
Lecturers
Participants
Préface
Preface
Contents
Electrons in a Flatland / M. ShayeganCourse 1:
Introduction / 1:
Samples and measurements / 2:
2D electrons at the GaAs/AlGaAs interface / 2.1:
Magnetotransport measurement techniques / 2.2:
Ground states of the 2D System in a strong magnetic field / 3:
Shubnikov-de Haas oscillations and the IQHE / 3.1:
FQHE and Wigner crystal / 3.2:
Composite fermions / 4:
Ferromagnetic state at ν = 1 and Skyrmions / 5:
Correlated bilayer electron states / 6:
Overview / 6.1:
Electron System in a wide, single, quantum well / 6.2:
Evolution of the QHE states in a wide quantum well / 6.3:
Evolution of insulating phases / 6.4:
Many-body, bilayer QHE at ν = 1 / 6.5:
Spontaneous interlayer Charge transfer / 6.6:
Summary / 6.7:
The Quantum Hall Effect: Novel Excitations and Broken Symmetries / S.M.GirvinCourse 2:
The quantum Hall effect
Why 2D is important / 1.1:
Constructing the 2DEG / 1.3:
Why is disorder and localization important? / 1.4:
Classical dynamics / 1.5:
Semi-classical approximation / 1.6:
Quantum dynamics in strong B Fields / 1.7:
IQHE edge states / 1.8:
Semiclassical percolation picture / 1.9:
Fractional QHE / 1.10:
The ν = 1 many-body state / 1.11:
Neutral collective excitations / 1.12:
Charged excitations / 1.13:
FQHE edge states / 1.14:
Quantum hall ferromagnets / 1.15:
Coulomb exchange / 1.16:
Spin wave excitations / 1.17:
Effective action / 1.18:
Topological excitations / 1.19:
Skyrmion dynamics / 1.20:
Skyrme lattices / 1.21:
Double-layer quantum Hall ferromagnets / 1.22:
Pseudospin analogy / 1.23:
Experimental background / 1.24:
Interlayer phase coherence / 1.25:
Interlayer tunneling and tilted field effects / 1.26:
Lowest Landau level projection / Appendix A:
Berry's phase and adiabatic transport / Appendix B:
Aspects of Chern-Simons Theory / G.V.DunneCourse 3:
Basics of planar field theory
Chern-Simons coupled to matter fields - "anyons"
Maxwell-Chern-Simons: Topologically massive gauge theory
Fermions in 2 + 1-dimensions / 2.3:
Discrete symmetries: <$>{\cal P}, {\cal C}<$> and <$>{\cal T}<$> / 2.4:
Poincaré algebra in 2 + 1-dimensions / 2.5:
Nonabelian Chern-Simons theories / 2.6:
Canonical quantization of Chern-Simons theories
Canonical structure of Chern-Simons theories
Chern-Simons quantum mechanics
Canonical quantization of abelian Chern-Simons theories / 3.3:
Quantization on the torus and magnetic translations / 3.4:
Canonical quantization of nonabelian Chern-Simons theories / 3.5:
Chern-Simons theories with boundary / 3.6:
Chern-Simons vortices
Abelian-Higgs model and Abrikosov-Nielsen-Olesen vortices / 4.1:
Relativistic Chern-Simons vortices / 4.2:
NonabelianrelativisticChern-Simonsvortices / 4.3:
Nonrelativistic Chern-Simons vortices: Jackiw-Pi model / 4.4:
NonabeliannonrelativisticChern-Simonsvortices / 4.5:
Vortices in the Zhang-Hansson-Kivelson model for FQHE / 4.6:
Vortex dynamics / 4.7:
Induced Chern-Simons terms
Perturbatively induced Chern-Simons terms: Fermion loop / 5.1:
Induced currents and Chern-Simons terms / 5.2:
Induced Chern-Simons terms without fermions / 5.3:
A finite temperature puzzle / 5.4:
Quantum mechanical finite temperature model / 5.5:
Exact finite temperature 2 + 1 effective actions / 5.6:
Finite temperature perturbation theory and Chern-Simons terms / 5.7:
Anyons / J. MyrheimCourse 4:
The concept of particle statistics
Statistical mechanics and the many-body problem
Experimental physics in two dimensions
The algebraic approach: Heisenberg quantization
More general quantizations
The configuration space
The Euclidean relative space for two particles
Dimensions d = 1, 2, 3
Homotopy
The braid group
Schrödinger quantization in one dimension
Heisenberg quantization in one dimension
The coordinate representation
Schrödinger quantization in dimension d ≥ 2
Scalar wave functions
Interchange phases
The statistics vector potential
The N-particle case
Chern-Simons theory
The Feynman path integral for anyons
Eigenstates for Position and momentum
The path integral
Conjugation classes in SN
The non-interacting case
Duality of Feynman and Schrödinger quantization
The harmonic oscillator / 7:
The two-dimensional harmonic oscillator / 7.1:
Two anyons in a harmonic oscillator potential / 7.2:
More than two anyons / 7.3:
The three-anyon problem / 7.4:
The anyon gas / 8:
The cluster and virial expansions / 8.1:
First and second order perturbative results / 8.2:
Regularization by periodic boundary conditions / 8.3:
Regularization by a harmonic oscillator potential / 8.4:
Bosons and fermions / 8.5:
Two anyons / 8.6:
Three anyons / 8.7:
The Monte Carlo method / 8.8:
The path integral representation of the coefficients <$>G_{\cal P}<$> / 8.9:
Exact and approximate polynomials / 8.10:
The fourth virial coefficient of anyons / 8.11:
Two polynomial theorems / 8.12:
Charged particles in a constant magnetic field / 9:
One particle in a magnetic field / 9.1:
Two anyons in a magnetic field / 9.2:
The anyon gas in a magnetic field / 9.3:
Interchange phases and geometric phases / 10:
Introduction to geometric phases / 10.1:
Two particles in a magnetic field / 10.2:
Interchange of two anyons in potential wells / 10.4:
Laughlin's theory of the fractional quantum Hall effect / 10.5:
Generalized Statistics in One Dimension / A.P. PolychronakosCourse 5:
Permutation group approach
Realization of the reduced Hilbert space
Path integral and generalized statistics
Cluster decomposition and factorizability
One-dimensional systems: Calogero model
The Calogero-Sutherland-Moser model
Large-N properties of the CSM model and duality
One-dimensional systems: Matrix model
Hermitian matrix model
The unitary matrix model
Quantization and spectrum
Reduction to spin-particle systems
Operator approaches
Exchange operator formalism
Systems with internal degrees of freedom
Asymptotic Bethe ansatz approach
The freezing trick and spin models
Exclusion statistics
Motivation from the CSM model
Semiclassics - Heuristics
Exclusion statistical mechanics
Exclusion statistics path integral
Is this the only "exclusion" statistics?
Epilogue
Lectures on Non-perturbative Field Theory and Quantum Impurity Problems / H.SaleurCourse 6:
Some notions of conformal field theory
The free boson via path integrals
Normal ordering and OPE
The stress energy tensor
Conformal in(co)variance
Some remarks on Ward identities in QFT
The Virasoro algebra: Intuitive introduction
Cylinders
The free boson via Hamiltonians
Modular invariance
Conformal invariance analysis of quantum impurity fixed points
Boundary conformal field theory
Partition functions and boundary states
Boundary entropy
The boundary sine-Gordon model: General results
The model and the flow
Perturbation near the UV fixed point
Perturbation near the IR fixed point
An alternative to the instanton expansion: The conformal invariance analysis
Search for integrability: Classical analysis
Quantum integrability
Conformal perturbation theory
S-matrices
Back to the boundary sine-Gordon model
The thermodynamic Bethe-ansatz: The gas of particles with "Yang-Baxter statistics"
Zamolodchikov Fateev algebra
The TBA
A Standard computation: The central Charge
Thermodynamics of the flow between N and D fixed points
Using the TBA to compute static transport properties
Tunneling in the FQHE
Conductance without impurity
Conductance with impurity
Quantum Partition Noise and the Detection of Fractionally Charged Laughlin Quasiparticles / D.C. GlattliSeminar 1:
Partition noise in quantum conductors
Quantum partition noise
Partition noise and quantum statistics
Quantum conductors reach the partition noise limit
Experimental evidences of quantum partition noise in quantum conductors
Partition noise in the quantum Hall regime and determination of the fractional Charge
Edge states in the integer quantum Hall effect regime
Tunneling between IQHE edge channels and partition noise
Edge channels in the fractional regime
Noise predictions in the fractional regime
Measurement of the fractional Charge using noise
Beyond the Poissonian noise of fractional charges
Mott Insulators, Spin Liquids and Quantum Disordered Superconductivity / Matthew P.A. FisherCourse 7:
Models and metals
Noninteracting electrons
Interaction effects
Mott insulators and quantum magnetism
Spin models and quantum magnetism
Spin liquids
Bosonization primer
2 Leg Hubbard ladder
Bonding and antibonding bands
Interactions
Bosonization
d-Mott phase
Symmetry and doping
d-Wave superconductivity
BGS theory re-visited
d-wave symmetry
Continuum description of gapless quasiparticles
Effective field theory
Quasiparticles and phase flucutations
Nodons
Vortices
ic/2e versus hc/e vortices
Duality
Nodal liquid phase
Half-filling
Doping the nodal liquid
Closing remarks
Lattice duality
Two dimensions / A.1:
Three dimensions / A.2:
Statistics of Knots and Entangled Random Walks / S. NechaevCourse 8:
Lecturers
Participants
Préface
7.

図書

図書
M. Lakshmanan, M. Daniel (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1990  viii, 208 p. ; 25 cm
シリーズ名: Research reports in physics
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8.

図書

図書
edited by Victor Szebehely
出版情報: Dordrecht, Holland ; Boston : Reidel , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Boston, c1982  xviii, 373 p. ; 25 cm
シリーズ名: NATO advanced study institutes series ; ser. C . Mathematical and physical sciences ; v. 82
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9.

図書

図書
edited by Rüstem Kaya, Peter Plaumann, Karl Strambach
出版情報: Dordrecht ; Tokyo : D. Reidel, c1985  xi, 567 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 160
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10.

図書

図書
edited by Fatkhulla Abdullaev, Ole Bang, Mads Peter Sørensen
出版情報: Dordrecht : Kluwer Academic, c2001  xxviii, 445 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics and chemistry ; v. 45
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