Fluctuating paths and fields : festschrift dedicated to Hagen Kleinert on the occasion of his 60th birthday / editors, Wolfhard Janke ... [and others].

Format:

Book

Contributor:

Kleinert, Hagen.

Janke, W. (Wolfhard)

Language:

English

Subjects (All):

Path integrals.

Quantum field theory.

Genre:

Festschriften.

Physical Description:

xxi, 850 pages : illustrations ; 23 cm

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, [2001]

Summary:

Papers by students and colleagues of Hagen Kleinert, who is best known for his path-integral solution of the three-dimensional hydrogen atom based on non-holonomic space-time transformation in 1979, report on recent advances in the path-integral description of quantum physics, quantum field theory, variational perturbation theory, phase transitions and critical phenomena, the role of topological defects in phase transitions and in fluctuating strings and membranes, and questions related to gravitation, cosmology, and astrophysics. Specific topics include Vassiliev invariants and functional integration, higher algebraic geometrization emerging from noncommutivity, gauge symmetry and neural networks, and uniformly suitable estimation for thermodynamic values. Material originated at a June 2001 colloquium at the Frie Universitat Berlin. Annotation copyrighted by Book News Inc., Portland, OR.

Contents:

Part I Path Integrals and Quantum Mechanics

Semiclassical Quantum Mechanics: A Path-Integral Approach / Barry R. Holstein 3

Forward-Backward Semiclassical Dynamics / Nancy Makri 15

The Feynman Path Goes Monte Carlo / Tilman Sauer 29

Coordinate Independence of Path Integrals in One-Dimensional Target Space / Alexander Chervyakov 43

Perturbatively Defined Path Integral in Phase Space / Michael Bachmann 57

The Use of Non-Relativistic Path Integrals in Field Theories / Ismail H. Duru 69

Path Integration and Coherent States for the 5D Hydrogen Atom / Nuri Unal 73

The Aharonov-Bohm Effect in Four Dimensions / De-Hone Lin 83

Path Integral for Separable Hamiltonians of Liouville-Type / Kazuo Fujikawa 95

Conjecture on the Reality of Spectra of Non-Hermitian Hamiltonians / Carl M. Bender, Stefan Boettcher, Peter N. Meisinger 105

Time-Transformation Approach to q-Deformed Objects / Akira Inomata 117

Feynman Integral on a Group / Zbigniew Haba 129

Characterizing Volume Forms / Pierre Cartier, Marcus Berg, Cecile DeWitt-Morette, Alexander Wurm 139

Vassiliev Invariants and Functional Integration / Louis H. Kauffman 157

Part II Quantum Field Theory

Higher Algebraic Geometrization Emerging from Noncommutativity / Yuval Ne'eman 173

Dynamical Fermion Masses Under the Influence of Kaluza-Klein Fermions in Randall-Sundrum Background / Hiroyuki Abe, Tomohiro Inagaki, Taizo Muta 185

The Ultraviolet Fixed-Point in Quantum Electrodynamics

Adler Conjecture: Is QED Trivial? / Raghunath Acharya 197

From Z Operator to SO(10), Neutrino Oscillations, and Fermi-Dirac Functions for Quark Parton Distributions / Franco Buccella 201

A Tilt at Constituent Quarks / Carlos A. Savoy 207

The Breaking of Isospin and the [rho]-[omega] System / Harald Fritzsch 219

Analytic Confinement and Regge Spectrum / Garij V. Efimov 225

Recursive Graphical Construction of Tadpole-Free Feynman Diagrams and Their Weights in [phi superscript 4]-Theory / Axel Pelster, Konstantin Glaum 235

Recursive Construction of Feynman Graphs in Spontaneously Broken O(N)-Symmetric [phi superscript 4]-Theory / Boris Kastening 247

Critical Behavior of Correlation Functions and Asymptotic Expansions of Feynman Amplitudes / Adolfo P.C. Malbouisson 259

Gauge Symmetry and Neural Networks / Tetsuo Matsui 271

Part III Variational Perturbation Theory

Note on the Path-Integral Variational Approach in Many-Body Theory / Jozef T. Devreese 283

Variational Perturbation Theory: A Powerful Method for Deriving Strong-Coupling Expansions / Wolfhard Janke 301

Variational Perturbation Theory for the Ground-State Wave Function / Axel Pelster, Florian Weissbach 315

Uniformly Suitable Estimation for Thermodynamic Values / Ilya D. Feranchuk, Alexei Ivanov 327

Path-Integral and Perturbation Methods for Debye-Waller Factors Observed by Extended X-Ray-Absorption Fine Structure Spectroscopy / Toshihiko Yokoyama 337

The Highest-Derivative Version of Variational Perturbation Theory / Bodo Hamprecht, Axel Pelster 347

Fast-Convergent Resummation Algorithm and Critical Exponents of [phi superscript 4]-Theory in Three Dimensions / Florian Jasch 365

Critical Exponent [alpha] of Superfluid Helium from Variational Strong-Coupling Theory / Bruno van den Bossche 377

Five-Loop Expansion of the [phi superscript 4]-Theory and Critical Exponents from Strong-Coupling Theory / Verena Schulte-Frohlinde 387

Part IV Phase Transitions and Critical Phenomena

Nonasymptotic Critical Behavior from Field Theory / Claude Bagnuls, Claude Bervillier 401

Nonanalyticity of the Beta-Function and Systematic Errors in Field-Theoretic Calculations of Critical Quantities / Michele Caselle, Andrea Pelissetto, Ettore Vicari 413

A Remark on the Numerical Validation of Triviality for Scalar Field Theories by High-Temperature Expansions / Paolo Butera, Marcattilio Comi 425

Multiloop [phi superscript 4]-Theory at Criticality / John A. Gracey 433

Phase Ordering Dynamics of [phi superscript 4]-Theory with Hamiltonian Equations of Motion / Bo Zheng, Volkard Linke, Steffen Trimper 445

Phase Transition in the Random Anisotropy Model / Maksym Dudka, Rheinhard Folk, Yurij Holovatch 457

Gaps and Magnetization Plateaus in Low-Dimensional Quantum Spin Systems / Karl-Heinz Mutter 469

Effective Free Energy of Ginzburg-Landau Model / Adriaan M.J. Schakel 485

Scaling and Duality in the Superconducting Phase Transition / Flavio S. Nogueira 497

Thermal Fluctuations in the Gross-Neveu Model with U(1)-Symmetry at Small N / Egor Babaev 507

FLEX-Theory for High-T[subscript c] Superconductivity Due to Spin Fluctuations / Dirk Manske, Karl H. Bennemann 517

From Superfluid [superscript 3]He to Triplet Superconductor Sr[subscript 2]RuO[subscript 4] / Kazumi Maki, Hyekyung Won 533

Part V Topological Defects, Strings, and Membranes

Description of Vorticity by Grassmann Variables and an Extension to Supersymmetry / Roman Jackiw 553

Non-Equilibrium Worldline Duality in Condensed Matter / Ray J. Rivers 565

Field Theories and the Problem of Topological Entanglement in Polymer Physics / Franco Ferrari 577

The Role of Topological Excitations at Second-Order Transitions / Luis M.A. Bettencourt 589

Topological Singularities, Defect Formation, and Phase Transitions in Quantum Field Theory / Giuseppe Vitiello 601

Confinement in the Ensembles of Monopoles / Dmitri Antonov 613

Nambu-Goto String without Tachyons Between a Heavy and a Light Quark / Gaetano Lambiase, Vladimir V. Nesterenko 625

Deconfinement of Quarks in the Nambu-Goto String with Massive Ends / Vladimir V. Nesterenko, Gaetano Lambiase 635

Principles of Non-Local Field Theories and Their Application to Polymerized Membranes / Kay J. Wiese 645

Random Paths and Surfaces with Rigidity / Bergfinnur Durhuus 663

Part VI Gravitation, Cosmology, and Astrophysics

String, Scalar Field, and Torsion Interactions / Richard T. Hammond 677

Metric and Connection: Kinematic and Dynamic Solutions of the Space Problem / Horst-Heino von Borzeszkowski, Hans-Jurgen Treder 685

Asymptotic Freedom in Curvature-Saturated Gravity / Salvatore Capozziello, Gaetano Lambiase, Hans-Jurgen Schmidt 697

What Can Ising Spins Teach Us about Quantum Gravity? / Christian Holm 707

Gravitational Excitons

Fluctuating Particles from Extra Dimensions / Uwe Gunther, Alexander Zhuk 721

Path Integrals in Quantum Cosmology / Claus Kiefer 729

Varying Light Velocity as a Solution to the Problems in Cosmology / John W. Moffat 741

Renormalization Group Method and Inhomogeneous Universe / Yasuada Nambu 759

Analogies, New Paradigms, and Observational Data as Growing Factors of Relativistic Astrophysics / Remo J. Ruffini 771.

Notes:

Includes bibliographical references and index.

ISBN:

981024648X

OCLC:

46836731