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Author Janke, Wolfhard
Title Path Integrals--new Trends And Perspectives - Proceedings Of The 9th International Conference : Proceedings of the 9th International Conference
Imprint Singapore : World Scientific Publishing Company, 2008
©2008
book jacket
Descript 1 online resource (629 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note 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
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
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
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
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
1.4. General relativity
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
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Janke, Wolfhard Path Integrals--new Trends And Perspectives - Proceedings Of The 9th International Conference : Proceedings of the 9th International Conference Singapore : World Scientific Publishing Company,c2008 9789812837264
Subject Path integrals -- Congresses.;Quantum field theory
Electronic books
Alt Author Pelster, Axel
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