Path Integrals from peV to TeV: 50 Years after Feynman's Paper
The Table of Contents for the book is as follows:
Foreword
Path Integral Retrospective: History and Selected Developments
A path integral retrospective: highlights and reflections of the last fifty years
Retrospective round table: comments and contributions
50 years of path integrals in field theory
Quantum chaos
Summing space-time paths: homotopy and singular asymptotics
A history of Feynman's sum over histories in quantum mechanics
Feynman's 1955 polaron paper: a landmark in the application of path integrals
Dissipative systems
Coherent states for discrete spectrum dynamics
Key Lectures
Phase relaxation of electrons in disordered conductors (abstract)
The functional measure of gauge theories in the presence of Gribov horizons
Initial value problems in quantum field theory and the Feynman path integral representation of Schwinger's closed time path formalism
Functional integrals and anomalies (abstract)
Path integrals and non-equilibrium thermodynamics
Field-dependent non-linear Poincaré symmetry
Coherent state path integrals at (nearly) 40
A closed expression for quantum correlation functions of exactly solvable models of quantum field theory
Path integral representation for the phase of a chiral determinant and global chiral anomaly
Determination of critical exponents and equation of state by field theory methods
Plenary Talks
A theory of algebraic integration
Transport-limited reactions: the 2-D Coulomb gas and reactive turbulent flow
Thermodynamics and path integrals for identical particles: the formalism
Semiclassical real-time theory of quantum tunneling
Lattice dynamics founded on the Feynman path integral with an application to neon
Strong-coupling expansion of 3D Coulomb system
Estimating the Wiener integrals of disordered electronic systems (abstract)
Calculations of equilibrium and nonequilibrium vibrational properties of anharmonic crystals by path integral Monte Carlo methods
Fermionic path integrals and two-dimensional Ising model with quenched site disorder
Schrödinger functional and quantization of gauge theories in the temporal gauge
Path integral approach to the Landau level levitation in 2-D random systems
Checkerboard path integral: use and extension
Path-integral formulation of intrinsic nonlinear localized modes in quantum many-body systems (abstract)
Local spins on top of quantum chain: Kondo necklace (abstract)
Effective potential for dissipative quantum systems
Dynamical simulations of externally driven dissipative quantum systems
Mathematics
A rigorous path-integral formula for quantum spin dynamics via planar Brownian motion
Exponential phase operators, q-bosons and the dynamical roughening models
Path integral treatment of scattering from anisotropic potentials
Green's functions for segmented potentials: a sum over ‘classical’ and ‘quantum’ paths
Feynman path integral on p-adic spaces
Rigorous covariant path integrals
Integrable 1+1 dimensional models of dilaton gravity
Phase space and path integral methods in classical elliptic wave propagation modeling
Extension of the Barut-Girardello coherent state and the trace formula
Path-integral for quadratic Hamiltonian systems and boundary conditions
Coherent-state path-integral approach for constrained fermion systems
Deformed oscillator and path integrals
Adiabatic spectral flow and Maslov-Morse index
Polymers entanglement and Chern-Simons field theory
Path integral on relativistic spinless potential problems
On the path-integral representation in non-Abelian gauge field theory
Regge-Liouviile action from group theory
Regularisations and stochastic calculus
Path integral for the Dirac equation
On motion in curved spaces
Feynman path integrals and unitary representations of groups of diffeomorphisms
Path integrals and thermal radiation in non-static curved space-times
High-Energy Physics
On the relation between Wilson action and CJT effective action
Applications of the path-integral techniques to the string representation of gauge theories
Mode regularization of the configuration space path integral for a particle in curved space
Exact path summation for relativistic particles in flat and curved spacetime
Path-integral derivation of effective meson-baryon Lagrangians for light and heavy flavours
Probing vacuum with variational methods in quantum gravity
Complex monopoles in the path integral
Quantum theory of droplets — a generalization of quantum mechanics
Path integral and a deconfined phase: the formal outlook for the multi-TeV quark-gluon plasma
A short cut towards spin & statistics
Spacetime at the Planck scale and path integral
“Tunneling” amplitudes of a massless quantum field
On path integral derivation of SL(2, Z) S-duality of type IIB superstring theory
Effective action for local composite operators
Quark composites approach to QCD
Path integral representation for gauge invariant Green functions in QCD and bound state equations
Background-quantum split symmetry and phase-space path-integrals
The Feynman variational principle in the worldline representation of field theory
Nambu and Jona-Lasinio model beyond the Hartree approximation
World line path integrals as a calculational tool in quantum field theory
Theta states and loop correlators in 2D Yang-Mills theory
Effective action for Dirac spinors in the uniform electromagnetic background fields
Condensed Matter Physics
Comparative study of a model nonlinear dissipative quantum system using the effective potential and Monte Carlo method
Cluster algorithms for path integrals in continuous Euclidean time
Long-range interactions in a one-dimensional electron system
Effective energy for fluid membranes via derivative expansion
Functional-integral approach to the neutral-ionic transition in mixed-stack donor-acceptor crystals
Functional integral approach and its application in high Tc superconductivity
The quantum dissipative Villain model
Importance sampling Monte Carlo for microporous materials
Fröhlich-Feynman polaron in d dimensions
On the ground-state energy of an exciton-(LO)phonon system in a parabolic quantum well
Path integral methods for the single electron transistor
Long-range interaction corrections on the quantum vibronic soliton
Tunneling control of a dissipative double-doublet-system by external fields
Reaction rates when barriers fluctuate: a path integral approach
Instantons for nonlinear sigma-model with broken Lorentz-invariance
On the Bose-spectrum in the 2D weakly repulsive Hubbard model at half filling
Coherent-state path integral associated with su(2) superalgebra: application to U = ∞ Hubbard model
Strong tunneling in single-electron devices
Quantum spherical description of periodic ultra-small Josephson junction arrays with offset voltage
Path integral Monte Carlo simulations for spin-boson dynamics
Path-integral approach to high Tc cuprates via Chern-Simons bosonization
Path integral analysis of the quantum Coulomb gas
Path integral approach to thermal factors in X-ray spectroscopy
Path integral Monte Carlo simulations in materials science
Coherence correlations in the spin-boson model
Path-integral approach to the band-tail density of states in GaAs-AlxGa1-xAs heterojunctions
Non-perturbative tunneling between integer quantum Hall edge states via a quantum dot
The quantum Heisenberg antiferromagnet on the square lattice
Path integral for composite fermions in the half-filled lowest Landau level
Adiabatics and quasiclassics in path integrals for quantum macroscopic phenomena
Effective-potential method applied to the EXAFS Debye-Waller factors of molecules and solids
Path integral description of the normal state transport in high Tc superconductors
Statistical Physics
Quantum dynamics of topological singularities: Feynman's influence functional approach
Smearing formulas for density matrices
Path integral formulation of evolving ecosystems
Many-body diffusion algorithm for interacting harmonic fermions
A unified approach for calculating quantum rate constants
Non-perturbative methods in treating the density matrix
A 2D dual model for the quantum Hall fluid
Thermodynamic chaos in the Z(2) gauge model
Intermittent dissipation of a passive scalar in a turbulent flow
The auxiliary field method as a powerful tool for nonperturbative study
Variational perturbation theory for the quantum-statistical density matrix
Effective Hamiltonian with holomorphic variables
Field theoretic approach to reaction-diffusion systems in disordered media
Smearing formula for higher-order effective classical potential
A novel physical realization of a tricritical point (abstract)
Quantum thermodynamic rate theory
Quantum nucleation of soliton/anti-soliton pairs in a dissipative ɸ4 field theory, at finite temperatures
Exact classical effective potentials
Measuring energies in PIMC simulations
Deterministic numerical method for path integral evaluation from quantum systems to stochastic equations
Effective Hamiltonian, Mori product, and quantum dynamics
Gaussian effective potential and structure prediction of biomolecules
Quantum Mechanics and other Topics
Numerical evaluation of coherent-state path integrals with applications to time-dependent problems
Numerical evaluation of the Feynman path integral by the restricted density of paths
Numerical functional integration method in some many-particle problems of nuclear physics
Quantum Zeno effect and Berry phase
Quantum mechanical versus stochastic processes in path integration
Applications of functional integration to electromagnetic boundary value problems: a survey
Structure of the random path quantization
Observing quantum tunneling in perturbation series
A Feynman paths approach to the tunneling time problem
List of Participants
