Fluctuating Paths and Fields : Festschrift Dedicated to Hagen Kleinert on the Occasion of His 60th Birthday

by Kleinert, Hagen; Janke, Wolfhard; Pelster, Axel; Bachmann, Michael

• ISBN13: 9789810246488
• ISBN10: 981024648X
• Format: Hardcover
• Copyright: 2001-06-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

A volume dedicated to the main areas of study in Hagen Kleinert's career: fluctuating paths and fields. Contains recent advances in the path-integral description of quantum physics, with articles covering a wide range of topics, from semi-classical dynamics to quantum field theory. DLC: Path integrals.

Table of Contents

Part I: Path Integrals and Quantum Mechanics
Semiclassical Quantum Mechanics: A Path-Integral Approach	3	(12)
Barry R. Holstein
Forward-Backward Semiclassical Dynamics	15	(14)
Nancy Makri
The Feynman Path Goes Monte Carlo	29	(14)
Tilman Saver
Coordinate Independence of Path Integrals in One-Dimensional Target Space	43	(14)
Alexander Chervyakov
Perturbatively Defined Path Integral in Phase Space	57	(12)
Michael Bachmann
The Use of Non-Relativistic Path Integrals in Field Theories	69	(4)
Ismail H. Dura
Path Integration and Coherent States for the 5D Hydrogen Atom	73	(10)
Nuri Unal
The Aharonov-Bohm Effect in Four Dimensions	83	(12)
De-Hone Lin
Path Integral for Separable Hamiltonians of Liouville-Type	95	(10)
Kazuo Fujikawa
Conjecture on the Reality of Spectra of Non-Hermitian Hamiltonians	105	(12)
M. Bender
Stefan Boettcher
Peter N. Meisinger
Time-Transformation Approach to q-Deformed Objects	117	(12)
Akira Inomata
Feynman Integral on a Group	129	(10)
Zbigniew Haba
Characterizing Volume Forms	139	(18)
Pierre Cartier
Marcas Berg
Cecile DeWitt-Morette
Alexander Wurm
Vassiliev Invariants and Functional Integration	157
Louis H. Kauffman
Part II: Quantum Field Theory
Higher Algebraic Geometrization Emerging from Noncommutativity	137	(48)
Yuval Ne'eman
Dynamical Fermion Masses Under the Influence of Kaluza-Klein Fermions in Randall-Sundrum Background	185	(12)
Hiroyuki Abe
Tomohiro Inagaki
Taizo Muta
The Ultraviolet Fixed-Point in Quantum Electrodynamics - Adler Conjecture: Is QED Trivial?	197	(4)
Raghunath Acharya
From Z Operator to SO(10), Neutrino Oscillations, and Fermi-Dirac Functions for Quark Parton Distributions	201	(6)
Franco Buccella
A Tilt at Constituent Quarks	207	(12)
Carlos A. Savoy
The Breaking of Isospin and the p-w System	219	(6)
Harald Fritzsch
Analytic Confinement and Regge Spectrum	225	(10)
Garij V. Efimov
Recursive Graphical Construction of Tadpole-Free Feynman Diagrams and Their Weights in ¢4-Theory	235	(12)
Axel Pelster
Konstantin Glaum
Recursive Construction of Feynman Graphs in Spontaneously Broken O(N)-Symmetric ¢4-Theory	247	(12)
Boris Kastening
Critical Behavior of Correlation Functions and Asymptotic Expansions of Feynman Amplitudes	259	(12)
Adolfo P. C. Malbouisson
Gauge Symmetry and Neural Networks	271	(12)
Tetsuo Matsui
Part III: Variational Perturbation Theory
Note on the Path-Integral Variational Approach in Many-Body Theory	283	(18)
Jozef T. Devreese
Variational Perturbation Theory: A Powerful Method for Deriving Strong-Coupling Expansions	301	(14)
Wolfhard Janke
Variational Perturbation Theory for the Ground-State Wave Function	315	(12)
Axel Pelster
Florian Weibach
Uniformaly Suitable Estimation for Thermodynamic Values	327	(10)
Ilya D. Feranchuk
Alexei Ivanov
Path-Integral and Perturbation Methods for Debye-Waller Factors Observed by Extended X-Ray-Absorption Fine Structure Spectroscopy	337	(10)
Toshihiko Yokoyama
The Highest-Derivative Version of Variational Perturbation Theory	347	(18)
Bodo Hamprecht
Axel Pelster
Fast-Convergent Resummation Algorithm and Critical Exponents of ¢4-Theory in Three Dimensions	365	(12)
Florian Jasch
Critical Exponent α of Superfluid Helium from Variational Strong-Coupling Theory	377	(10)
Bruno van den Bossche
Five-Loop Expansion of the ¢4-Theory and Critical Exponents from Strong-Coupling Theory	387	(14)
Verena Schulte-Frohlinde
Part IV: Phase Transitions and Critical Phenomena
Nonasymptotic Critical Behavior from Field Theory	401	(12)
Claude Bagnuls
Claude Bervillier
Nonanalyticity of the Beta-Function and Systematic Errors in Field-Theoretic Calculations of Critical Quantities	413	(12)
Michele Caselle
Andrea Pelissetto
Ettore Vicari
A Remark on the Numerical Validation of Triviality for Scalar Field Theories by High-Temperature Expansions	425	(8)
Paolo Butera
Marcattilio Comi
Multiloop ¢4-Theory at Criticality	433	(12)
John A. Gracey
Phase Ordering Dynamics of ¢4-Theory with Hamiltonian Equations of Motion	445	(12)
Bo Zheng
Volkard Linke
Steffen Trimper
Phase Transition in the Random Anisotropy Model	457	(12)
Maksym Dudka
Rheinhard Folk
Yurij Holovatch
Gaps and Magnetization Plateaus in Low-Dimensional Quantum Spin Systems	469	(16)
Karl-Heinz Mutter
Effective Free Energy of Ginzburg-Landau Model	485	(12)
Adriaan M.J. Schakel
Scaling and Duality in the Superconducting Phase Transition	497	(10)
Flavio S. Nogueira
Thermal Fluctuations in the Gross-Neveu Model with U(1)-Symmetry at Small N	507	(10)
Egor Babaev
FLEX-Theory for High-Tc Superconductivity Due to Spin Fluctuations	517	(16)
Dirk Manske
Karl H. Bennemann
From Superfluid 3He to Triplet Superconductor Sr2RuO4	533	(20)
Kazumi Maki
Hyekyung Won
Part V: Topological Defects, Strings, and Membranes
Description of Vorticity by Grassmann Variables and an Extension to Supersymmetry	553	(12)
Roman Jackiw
Non-Equilibrium Worldline Duality in Condensed Matter	565	(12)
Ray J. Rivers
Field Theories and the Problem of Topological Entanglement in Polymer Physics	577	(12)
Franco Ferrari
The Role of Topological Excitations at Second-Order Transitions	589	(12)
Luis M.A. Bettencourt
Topological Singularities, Defect Formation, and Phase Transitions in Quantum Field Theory	601	(12)
Giuseppe Vitiello
Confinement in the Ensembles of Monopoles	613	(12)
Dmitri Antonov
Nambu-Goto String without Tachyons Between a Heavy and a Light Quark	625	(10)
Gaetano Lambiase
Vladimir V. Nesterenko
Deconfinement of Quarks in the Nambu-Goto String with Massive Ends	635	(10)
Vladimir V. Nestenenko
Gaetano Lambiase
Principles of Non-Local Field Theories and Their Application to Polymerized Membranes	645	(18)
Kay J. Wiese
Random Paths and Surfaces with Rigidity	663	(14)
Bergfinnur Durhuus
Part VI: Gravitation, Cosmology, and Astrophysics
String, Scalar Field, and Torsion Interactions	677	(8)
Richard T. Hammond
Metric and Connection: Kinematic and Dynamic Solutions of the Space Problem	685	(12)
Horst-Heino von Borzeszkowski
Hans-Jurgen Treder
Asymptotic Freedom in Curvature-Saturated Gravity	697	(10)
Salvatore Capozziello
Gaetano Lambiase
Hans-Jurgen Schmidt
What Can Ising Spins Teach Us about Quantum Gravity?	707	(14)
Christian Holm
Gravitational Excitons - Fluctuating Particles from Extra Dimensions	721	(8)
Uwe Gunther
Alexander Zhuk
Path Integrals in Quantum Cosmology	729	(12)
Claus Kiefer
Varying Light Velocity as a Solution to the Problems in Cosmology	741	(18)
John W. Moffat
Renormalization Group Method and Inhomogeneous Universe	759	(12)
Yasuada Nambu
Analogies, New Paradigms, and Observational Data as Growing Factors of Relativistic Astrophysics	771	(28)
Remo J. Ruffini
Index	799