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035    (MiAaPQ)EBC477165 
035    (Au-PeEL)EBL477165 
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050  4 QC174.17.P27I57 2007 
082 0  512 
100 1  Janke, Wolfhard 
245 10 Path Integrals--new Trends And Perspectives - Proceedings 
       Of The 9th International Conference :|bProceedings of the 
       9th International Conference 
264  1 Singapore :|bWorld Scientific Publishing Company,|c2008 
264  4 |c©2008 
300    1 online resource (629 pages) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
505 0  CONTENTS -- Preface -- Conference committees -- Group 
       photo -- Part I History and Perspectives -- Remarks on the
       origin of path integration: Einstein and Feynman T. Sauer 
       -- 1. Introduction -- 2. The Wheeler-Feynman Absorber 
       Theory -- 3. Einstein and the Electromagnetic Arrow of 
       Time -- 4. Path Integrals for Actions with No Hamiltonian 
       -- 5. The Demise of the Early Context of Path Integration 
       -- References -- Quo vadis, physica? M. Gutzwiller -- 1. 
       Introduction -- 2. Some Input from Philosophy -- 3. The 
       Short History of Physics -- 4. Quantum Physics, Relativity,
       and the Nucleus until 1957 -- 5. The Boom in Physics from 
       1957 to 2007 -- 6. Things to be Expected -- Round-table 
       discussion: quo vadis, path integrals - new trends and 
       perspectives? -- Part II Quantum Physics -- An appetizer: 
       a sampler of main courses C. DeWitt-Morette -- 1. 
       Introduction -- 2. When Symmetries Define a Path Integral 
       -- A Basic Theorem on Spaces of Pointed Paths -- 3. 
       Solutions of PDE Other Than Parabolic -- Spaces of Poisson
       Paths -- 4. A General Property of Volume Elements -- the 
       Koszul Formula -- Acknowledgments -- References -- What 
       does operator ordering have to do with the density of 
       paths? L. S. Schulman -- 1. Introduction -- 2. The Quantum
       Hamilton-Jacobi Equation -- 3. The Equivalent c-Number 
       Problem -- 4. Applications -- 4.1. The semiclassical 
       propagator -- 4.2. The  -function propagator -- 5. 
       Discussion -- References -- Near action-degenerate 
       periodic-orbit bunches: a skeleton of chaos A. Altland, P.
       Braun, F. Haake, S. Heusler, G. Knieper, and S. M¨u ller 
       -- 1. Introduction -- 2. Unstable Initial Value Problem vs
       Stable Boundary Value Problem -- 3. Self-Encounters -- 4. 
       Orbit Bunches -- 5. Hierarchies of Bunches -- 6. Quantum 
       Signatures of Bunches -- 7. Conclusion -- Acknowledgment -
       - References -- Path integration in the field of 
       dispiration A. Inomata 
505 8  1. Introduction -- 2. Gauge Approach to the Dispiration --
       3. The Propagator -- 4. Energy Spectrum -- 5. Concluding 
       Remarks -- References -- Real time path integrals in 
       studies of quantum dots dynamics: non-monotonous decay 
       rate and reappearance of Rabi rotations A. Vagov, M. D. 
       Croitoru, V. M. Axt, T. Kuhn, and F. Peeters -- 1. 
       Introduction -- 2. Model and Numerical Path-Integral 
       Calculation -- 3. Results and Discussion -- 4. Conclusions
       -- Acknowledgments -- References -- Three useful bounds in
       quantum mechanics - easily obtained by Wiener integration 
       H. Leschke and R. Ruder -- 1. Feynman-Kac Formula -- 2. 
       Diamagnetic Inequality -- 3. Quasi-Classical Upper Bound 
       on the Integrated Density of States in the Case of a 
       Random Scalar Potential -- 4. A Simple Diamagnetic 
       Monotonicity -- References -- Path-integral derivation of 
       Lifshitz tails V. Sa-yakanit -- 1. Introduction -- 2. 
       Model System -- 3. Density of States -- 4. Discussion -- 
       References -- Feynman integrals as generalized functions 
       on path space: things done and open problems L. Streit -- 
       1. Introduction: The Feynman "Integral" -- 2. How to 
       Recognize a Generalized Function When You See One -- 3. 
       Construction -- 4. Classes of Admissible Interactions -- 
       5. Boundary Value Problems -- 6. Beyond Perturbation 
       Theory -- 7. A Glimpse at (E)QFT -- 8. Things to be Done -
       - References -- Accelerated path-integral calculations via
       e ective actions  A. Balaˇz, I. Vidanovíc, A. Bogojevíc, 
       and A. Belíc -- 1. Introduction -- 2. Improved Discretized
       Effective Actions -- 3. Numerical Results -- 4. 
       Conclusions -- Acknowledgments -- References -- Systematic
       speedup of energy spectra calculations for manybody  
       systems  I. Vidanovíc, A. Balaˇz, A. Bogojevíc, and A. 
       Belíc -- Acknowledgments -- References -- Geometric phase 
       and chiral anomaly in path integral formulation K. 
       Fujikawa -- 1. Second Quantization 
505 8  2. Hidden Local Gauge Symmetry -- 3. Non-Adiabatic Phase -
       - 3.1. Cyclic evolution -- 3.2. Non-cyclic evolution -- 4.
       Exactly Solvable Example -- 5. Chiral Anomaly -- 
       References -- Phase space path integrals and their 
       semiclassical approximations N. Kumano-go and D. Fujiwara 
       -- 1. Introduction -- 2. Main Results -- References -- 
       Gelfand-Yaglom type equation forWiener unconditional 
       measure  functional integral with x4 term in potential  J.
       Boh́aˇcik and P. Preˇsnajder -- 1. Evaluation of x4 Wiener
       Functional Integral -- 1.1. One-dimensional integral -- 
       1.2. Gel'fand-Yaglom equation -- 2. Conclusions -- 
       Acknowledgments -- References -- Coherent states for a 
       quantum particle on a M¨o bius strip D. J. Cirilo-
       Lombardo -- 1. Introduction -- 2. Abstract Coherent States
       -- 3. Physical Phase Space and Natural Quantization -- 4. 
       Dynamics -- References -- Part III Quantum Field Theory --
       Challenges to path-integral formulations of quantum 
       theories R. Jackiw -- References -- Multivalued fields and
       third quantization H. Kleinert -- 1. Coordinate 
       Transformations in Path Integrals -- 2. Multivalued Fields
       -- 3. Apparent First Order of Superconducting Transition -
       - 4. Second-Order Transition -- 5. Crystal Defects and the
       Melting Transition -- 6. Crystal Defects and Geometry -- 
       References -- Gaussian equivalent representation of path 
       integrals over a Gaussian measure G. V. Efimov -- 1. 
       Introduction -- 2. Gaussian Equivalent Representation -- 
       3. Screening of the Coulomb Potential in Plasma -- 
       References -- Path integral inspired gauge invariant 
       infrared regularization A. A. Slavnov -- 1. Introduction -
       - 2. A Path-Integral Regularization -- 3. Canonical 
       Quantization and Unitarity of Regularized Theory -- 
       Acknowledgments -- References -- Causal signal 
       transmission by interacting quantum fields L. I. Plimak, 
       W. P. Schleich, and S. Stenholm 
505 8  1. Response of the Harmonic Oscillator -- 2. Response of 
       Interacting Bosons -- References -- Rigorous functional 
       integration with applications in QFT J. L¨orinczi -- 1. 
       Introduction -- 2. Functional Integration for Nelson's 
       Model -- 3. Functional Integration for the Pauli-Fierz 
       Model -- Acknowledgment -- References -- Stable extended 
       string-vortex solitons I. L. Bogolubsky, A. A. 
       Bogolubskaya, A. I. Bogolubsky, and S. L. Skorokhodov -- 
       1. Introduction -- 2. 2D Stable Solitons in the A3M Model 
       -- Acknowledgments -- References -- Recent results for 
       Yang-Mills theory restricted to the Gribov region J. A. 
       Gracey -- 1. Introduction -- 2. Gribov-Zwanziger 
       Lagrangian -- 3. Calculations -- 4. Discussion -- 
       Acknowledgments -- References -- Mass spectra of the light
       and heavy mesons and the glueball G. Ganbold -- 1. 
       Introduction -- 2. The Model -- 3. Meson Spectrum -- 4. 
       Lowest Glueball State -- 5. Light Meson Decay Constants --
       References -- Part IV Quantum Gravity -- Path integrals in
       quantum gravity: general concepts and recent developments 
       C. Kiefer -- 1. Introduction -- 2. Euclidean versus 
       Lorentzian Path Integrals -- 3. Perturbation Theory and 
       Asymptotic Safety -- 4. Path Integrals and Canonical 
       Quantum Gravity -- 5. Conclusion -- Acknowledgments -- 
       References -- The emergence of (Euclidean) de Sitter space
       -time J. Ambjørn, A. G¨orlich, J. Jurkiewicz, and R. Loll
       -- 1. Introduction -- 2. The Macroscopic S4 Universe -- 3.
       Fluctuations Around the Four-Sphere -- 4. Discussion -- 
       Acknowledgment -- References -- Functional integrals in a 
       ne quantum gravity J. R. Klauder -- 1. Introduction -- 2. 
       Affine Kinematical Variables -- 3. Affine Coherent States 
       -- 4. Projection Operator Approach for Quantum Constraints
       -- 5. Continuous-Time Regularized Functional Integral 
       Representation without/with Constraints -- 6. Hard-Core 
       Picture of Nonrenormalizability 
505 8  References -- The role of Thomas-Fermi approach in neutron
       star matter R. Rufini -- 1. Introduction -- 2. Thomas-
       Fermi Model -- 3. White Dwarfs and Neutron Stars as Thomas
       -Fermi Systems -- 4. Relativistic Thomas-Fermi Equation --
       5. Essential Role of Non-Pointlike Nucleus -- 6. Nuclear 
       Matter in Bulk: A ≈ 300 or A ≈ (mPlanck/mn)3 -- 7. 
       Energetically Favorable Configurations -- 8. Conclusions -
       - Acknowledgments -- References -- A variational approach 
       to the computation of the cosmological constant in a 
       modified gravity theory R. Garattini -- 1. Introduction --
       2. One Loop Energy Regularization and Renormalization for 
       a f (R) = R Theory -- 3. One Loop Energy Regularization 
       and Renormalization for a Generic f (R) Theory in 
       Hamiltonian Formulation -- References -- On nature of the 
       cosmological constant L. V. Prokhorov -- References -- 
       Dimensional reduction near the horizon Z. Haba -- 1. 
       Introduction -- 2. Reflection Positivity and Euclidean 
       Functional Integration -- 3. An Approximation at the 
       Horizon -- 4. Green Functions Near the Horizon -- 5. 
       Euclidean Free Fields Near the Horizon -- References -- 
       Path integral for half-binding potentials as quantum 
       mechanical analog for black hole partition functions D. 
       Grumiller -- 1. Introduction and Statement of the Problem 
       -- 2. Hamilton-Jacobi Counterterm for Half-Binding 
       Potentials -- 3. Comparison with Black Hole Partition 
       Functions -- Acknowledgments -- References -- Effective 
       Lagrangians for noncommutative mechanics C. S. Acatrinei -
       - 1. Introduction -- 2. Path Integral -- 3. Discussion -- 
       Acknowledgments -- References -- Part V Statistical Field 
       Theory -- Functional integrals in physics: the main 
       achievements J. Zinn-Justin -- 1. The Mystery of the 
       Classical Variational Principle -- 1.1. Euler-Lagrange 
       equations -- 1.2. The particle in a magnetic field -- 1.3.
       Electromagnetism and Maxwell's equations 
505 8  1.4. General relativity 
520    This proceedings volume contains selected talks and poster
       presentations from the 9th International Conference on 
       Path Integrals - New Trends and Perspectives, which took 
       place at the Max Planck Institute for the Physics of 
       Complex Systems in Dresden, Germany, during the period 
       September 23-28, 2007. Continuing the well-developed 
       tradition of the conference series, the present status of 
       both the different techniques of path integral 
       calculations and their diverse applications to many fields
       of physics and chemistry is reviewed. This is reflected in
       the main topics in this volume, which range from more 
       traditional fields such as general quantum physics and 
       quantum or statistical field theory through technical 
       aspects like Monte Carlo simulations to more modern 
       applications in the realm of quantum gravity and 
       astrophysics, condensed matter physics with topical 
       subjects such as Bose-Einstein condensation or quantum 
       wires, biophysics and econophysics. All articles are 
       successfully tied together by the common method of path 
       integration; as a result, special methodological 
       advancements in one topic could be transferred to other 
       topics 
588    Description based on publisher supplied metadata and other
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590    Electronic reproduction. Ann Arbor, Michigan : ProQuest 
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650  0 Path integrals -- Congresses.;Quantum field theory 
655  4 Electronic books 
700 1  Pelster, Axel 
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       Trends And Perspectives - Proceedings Of The 9th 
       International Conference : Proceedings of the 9th 
       International Conference|dSingapore : World Scientific 
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