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Tables of Contents for Path Integrals from Pev to Tev
Chapter/Section Title
Page #
Page Count
Foreword
v
Path Integral Retrospective: History and Selected Developments
A path integral retrospective: highlights and reflections of the last fifty years
3
1
A. Inomata
L.S. Schulman
Retrospective round table: comments and contributions
4
5
A. Inomata
L.S. Schulman
50 years of path integrals in field theory
9
3
R. Rosenfelder
Quantum chaos
12
4
F. Steiner
Summing space-time paths: homotopy and singular asymptotics
16
3
L.S. Schulman
A history of Feynman's sum over histories in quantum mechanics
19
3
A. Inomata
G. Junker
Feynman's 1955 polaron paper: a landmark in the application of path integrals
22
5
J.T. Devreese
Dissipative systems
27
3
U. Weiss
Coherent states for discrete spectrum dynamics
30
5
J.R. Klauder
Key Lectures
Phase relaxation of electrons in disordere conductors (abstract)
35
1
B. Altshuler
M. Gershenson
I. Aleiner
The functional measure of gauge theories in the presence of Gribov horizons
36
8
C. Becchi
S. Giusto
C. Imbimbo
Initial value problems in quantum field theory and the Feynman path integral representation of Schwinger's closed time path formalism
44
7
F. Cooper
Functional integrals and anomalies (abstract)
51
1
L. Faddeev
Path integrals and non-equilibrium thermodynamics
52
7
B. Gaveau
M. Moreau
J. Toth
Field-dependent non-linear Poincare symmetry
59
6
R. Jackiw
Coherent state path integrals at (nearly) 40
65
6
J.R. Klauder
A closed expression for quantum correlation functions of exactly solvable models of quantum field theory
71
9
V.E. Korepin
N.A. Slavnov
Path integral representation for the phase of a chiral determinant and global chiral anomaly
80
7
A.A. Slavnov
Determination of critical exponents and equation of state by field theory methods
87
12
J. Zinn-Justin
Plenary Talks
A theory of algebraic integration
99
5
R. Casalbuoni
Transport-limited reactions: the 2-D Coulomb gas and reactive turbulent flow
104
5
M.W. Deem
Thermodynamics and path integrals for identical particles: the formalism
109
5
J.T. Devreese
F. Brosens
L.F. Lemmens
Semiclassical real-time theory of quantum tunneling
114
5
J. Ankerhold
H. Grabert
Latice dynamics founded on the Feynman path integral with an application to neon
119
5
G.K. Horton
D. Acocella
E.R. Cowley
Strong-coupling expansion of 3D Coulomb system
124
5
W. Janke
Estimating the Wiener integrals of disordered electronic systems (abstract)
129
1
H. Leschke
Calculations of equilibrium and nonequilibrium vibrational properties of anharmonic crystals by path integral Monte Carlo methods
130
7
A.A. Maradudin
Fermionic path integrals and two-dimensional Ising model with quenched site disorder
137
5
V.N. Plechko
Schrodinger functional and quantization of gauge theories in the temporal gauge
142
6
G.C. Rossi
Path integral approach to the Landau level levitation in 2-D random systems
148
5
V. Sa-yakanit
S. Boribarn
Checkerboard path integral: use and extension
153
5
L.S. Schulman
B. Gaveau
Path-integral formulation of intrinsic nonlinear localized modes in quantum many-body systems (abstract)
158
1
S. Takeno
Local spins on top of quantum chain: Kondo necklace (abstract)
159
1
A.M. Tsvelik
Effective potential for dissipative quantum systems
160
5
A. Cuccoli
A. Fubini
V. Tognetti
A. Rossi
R. Vaia
Dynamical simulations of externally driven dissipative quantum systems
165
8
M. Grifoni
M. Winterstetter
U. Weiss
Mathematics
A rigorous path-integral formula for quantum spin dynamics via planar Brownian motion
173
4
B. Bodmann
H. Leschke
S. Warzel
Exponential phase operators, q-bosons and the dynamical roughening models
177
4
N.M. Bogoliubov
Path integral treatment of scattering from anisotropic potentials
181
4
E.B. Gravador
M. V. Carpio-Bernido
C.C. Bernido
Green's functions for segmented potentials: a sum over `classical' and `quantum' paths
185
4
M.G.E. da Luz
B.K. Cheng
E. Vicentini
E.P. Raposo
E.J. Heller
Feynman path integral on p-adic spaces
189
4
G. Djordjevic
B. Dragovich
Rigorous covariant path integrals
193
4
A. Dynin
Integrable 1+1 dimensional models of dilaton gravity
197
4
V. de Alfaro
A. T. Filippov
Phase space and path integral methods in classical elliptic wave propagation modeling
201
4
L. Fishman
Extension of the Barut-Girardello coherent state and the trace formula
205
4
K. Fujii
Path-integral for quadratic Hamiltonian systems and boundary conditions
209
4
A.T. Filippov
A.P. Isaev
Coherent-state path-integral approach for constrained fermion systems
213
4
G. Junker
J.R. Klauder
Deformed oscillator and path integrals
217
4
P.P. Kulish
Adiabatic spectral flow and Maslov-Morse index
221
4
H. Kuratsuji
Polymers entanglement and Chern-Simons field theory
225
4
F. Ferrari
I. Lazzizzera
Path integral on relativistic spinless potential problems
229
4
D.-H. Lin
On the path-integral representation in non-Abelian gauge field theory
233
4
M.S. Marinov
Regge-Liouville action from group theory
237
4
P. Menotti
Regularisations and stochastic calculus
241
4
L.I. Plimak
M.J. Collett
D.F. Walls
M. Fleischhauer
Path integral for the Dirac equation
245
4
J. Polonyi
On motion in curved spaces
249
4
L. V. Prokhorov
Feynman path integrals and unitary representations of groups of diffeomorphisms
253
4
E.T. Shavgulidze
Path integrals and thermal radiation in non-static curved space-times
257
6
F. Vendrell
High-Energy Physics
On the relation between Wilson action and CJT effective action
263
4
G. Amelino-Camelia
J.-P. Derendinger
Applications of the path-integral techniques to the string representation of gauge theories
267
4
D. Antonov
D. Ebert
Mode regularization of the configuration space path integral for a particle in curved space
271
4
F. Bastianelli
Exact path summation for relativistic particles in flat and curved spacetime
275
4
C.C. Bernido
Path-integral derivation of effective meson-baryon Lagrangians for light and heavy flavours
279
4
D. Ebert
Probing vacuum with variational methods in quantum gravity
283
4
R. Garattini
Complex monopoles in the path integral
287
4
Y. Hosotani
B. Tekin
K. Saririan
Quantum theory of droplets---a generalization of quantum mechanics
291
4
A.I. Kirillov
Path integral and a deconfined phase: the formal outlook for the multi-TeV quark-gluon plasma
295
4
G.A. Kozlov
A short cut towards spin & statistics
299
4
B. Kuckert
Spacetime at the Planck scale and path integral
303
4
G. Mangano
``Tunneling'' amplitudes of a massless quantum field
307
4
G. Modanese
On path integral derivation of SL(2, Z) S-duality of type IIB superstring theory
311
4
I. Oda
Effective action for local composite operators
315
4
A. Okopinska
Quark composites approach to QCD
319
4
S. Caracciolo
G. de Franceschi
F. Palumbo
Path integral representation for gauge invariant Green functions in QCD and bound state equations
323
4
G.M. Prosperi
Background-quantum split symmetry and phase-space path-integrals
327
4
M. Reuter
The Feynman variational principle in the worldline representation of field theory
331
4
R. Rosenfelder
C. Alexandrou
A. V. Schreiber
Nambu and Jona-Lasinio model beyond the Hartree approximation
335
4
A. Okopinska
J. Rozynek
World line path integrals as a calculational tool in quantum field theory
339
5
M.G. Schmidt
C. Schubert
Theta states and loop correlators in 2D Yang-Mills theory
344
4
G. Grignani
L. Paniak
G. Semenoff
P. Sodano
Effective action for Dirac spinors in the uniform electromagnetic background fields
348
7
R. Soldati
L. Sorbo
Condensed Matter Physics
Comparative study of a model nonlinear dissipative quantum system using the effective potential and Monte Carlo method
355
4
J. Bao
Cluster algorithms for path integrals in continuous Euclidean time
359
4
B.B. Beard
Long-range interactions in a one-dimensional electron system
363
4
S. Bellucci
Effective energy for fluid membrannes via derivative expansion
367
4
M.E.S. Borelli
H. Kleinert
A.M.J. Schakel
Functional-integral approach to the neutral-ionic transition in mixed-stack donor-acceptor crystals
371
4
S. Caprara
Functional integral approach and its application in high Tc superconductivity
375
4
X. Dai
T. Wen
Y. Ma
J. Dai
The quantum dissipative Villain model
379
4
G. Falci
G. Giaquinta
U. Weiss
Importance sampling Monte Carlo for microporous materials
383
4
M. Falcioni
M.W. Deem
Frohlich-Feynman polaron in d dimensions
387
4
G. Ganbold
G. V. Efimov
On the ground-state energy of an exciton-(LO)phonon system in a parabolic quantum well
391
4
B. Gerlach
J. Wuesthoff
M.A. Smondyrev
Path integral methods for the single electron transistor
395
4
G. Goppert
H. Grabert
Long-range interaction corrections on the quantum vibronic soliton
399
4
D. Grecu
A.S. Carstea
A. Visinescu
Tunneling control of a dissipative double-doublet-system by external fields
403
4
M. Grifoni
M. Thorwart
P. Hanggi
Reaction rates when barriers fluctuate: a path integral approach
407
3
P. Hanggi
P. Reimann
Instantons for nonlinear sigma-model with broken Lorentz-invariance
410
4
B.A. Ivanov
On the Bose-spectrum in the 2D weakly repulsive Hubbard model at half filling
414
4
V. Kapitonov
C. Malyshev
Coherent-state path integral associated with su(2) superalgebra: application to U = ∞ Hubbard model
418
4
E.A. Kochetov
Strong tunneling in single-electron devices
422
4
J. Konig
H. Schoeller
G. Schon
Quantum spherical description of periodic ultra-small Josephson junction arrays with offset voltage
426
4
T.K. Kopec
Path integral Monte Carlo simulations for spin-boson dynamics
430
4
A. Lucke
R. Egger
L. Muhlbacher
H. Grabert
Path-integral approach to high Tc cuprates via Chern-Simons bosonization
434
4
P.A. Marchetti
Path integral analysis of the quantum Coulomb gas
438
4
A. Alastuey
Ph.A. Martin
Path integral approach to thermal factors in X-ray spectroscopy
442
4
T. Miyanaga
T. Fujikawa
Path integral Monte Carlo simulations in materials science
446
4
C. Rickwardt
M. Presber
D. Loding
M. Reber
P. Nielaba
Coherence correlations in the spin-boson model
450
4
E. Paladino
G. Lang
U. Weiss
Path-integral approach to the band-tail density of states in GaAs-AlxGa1-xAs heterojunctions
454
4
V. Sa-yakanit
G. Slavcheva
Non-perturbative tunneling between integer quantum Hall edge states via a quantum dot
458
4
D. Giuliano
A. Tagliacozzo
The quantum Heisenberg antiferromagnet on the square lattice
462
4
A. Cuccoli
V. Tognetti
P. Verrucchi
R. Vaia
Path integral for composite fermions in the half-filled lowest Landau level
466
4
W. Weller
J. Dietel
Th. Koschny
W. Apel
Adiabatics and quasiclassics in path integrals for quantum macroscopic phenomena
470
4
V.S. Yarunin
Effective-potential method applied to the EXAFS Debye-Waller factors of molecules and solids
474
4
T. Yokoyama
Path integral description of the normal state transport in high Tc superconductors
478
7
M. Zoli
Statistical Physics
Quantum dynamics of topological singularities: Feynman's influence functional approach
485
4
P. Ao
Smearing formulas for density matrices
489
4
M. Bachmann
H. Kleinert
A. Pelster
Path integral formulation of evolving ecosystems
493
4
F. Bagnoli
M. Bezzi
Many-body diffusion algorithm for interacting harmonic fermions
497
4
F. Brosens
F. Luczak
J.T. Devreese
L.F. Lemmens
A unified approach for calculating quantum rate constants
501
4
J. Cao
Non-perturbative methods in treating the density matrix
505
4
V.B. Magalinsky
T.K. Chatterjee
A 2D dual model for the quantum Hall fluid
509
4
G. Cristofano
G. Maiella
F. Nicodemi
D. Giuliano
Thermodynamic chaos in the Z(2) gauge model
513
4
S.K. Dallakian
Intermittent dissipation of a passive scalar in a turbulent flow
517
4
A. Gamba
I.V. Kolokolov
The auxiliary field method as a powerful tool for nonperturbative study
521
4
T. Kashiwa
Variational perturbation theory for the quantum-statistical density matrix
525
4
J. Krzyweck
I. Mustapic
Effective Hamiltonian with holomorphic variables
529
4
A. Cuccoli
V. Tognetti
R. Giachetti
R. Maciocco
R. Vaia
Field theoretic approach to reaction-diffusion systems in disordered media
533
4
J.-M. Park
M.W. Deem
Smearing formula for higher-order effective classical potential
537
4
H. Kleinert
W. Kurzinger
A. Pelster
A novel physical realization of a tricritical point (abstract)
541
1
D. Pescia
Quantum thermodynamic rate theory
542
4
J.-L. Liao
E. Pollak
Quantum nucleation of soliton/anti-soliton pairs in a dissipative &phis;4 field theory, at finite temperatures
546
4
P.S. Riseborough
Exact classical effective potentials
550
4
J.H. Samson
Measuring energies in PIMC simulations
554
4
W. Janke
T. Sauer
Deterministic numerical method for path integral evaluation from quantum systems to stochastic equations
558
4
S. Taddei
M. Rosa-Clot
Effective Hamiltonian, Mori product, and quantum dynamics
562
4
A. Cuccoli
V. Tognetti
R. Giachetti
R. Vaia
Gaussian effective potential and structure prediction of biomolecules
566
7
H. Verschelde
Quantum Mechanics and other Topics
Numerical evaluation of coherent-state path integrals with applications to time-dependent problems
573
4
B. Burghardt
J. Stolze
Numerical evaluation of the Feynman path integral by the restricted density of paths
577
4
R.J. Creswick
W.H. Baird
Numerical functional integration method in some many-particle problems of nuclear physics
581
4
Yu. Yu. Lobanov
V.D. Rushai
Quantum Zeno effect and Berry phase
585
4
S. Pascazio
Quantum mechanical versus stochastic processes in path integration
589
4
M. Patriarca
Applications of functional integration to electromagnetic boundary value problems: a survey
593
4
V. Galdi
V. Pierro
I.M. Pinto
Structure of the random path quantization
597
4
M. Roncadelli
Observing quantum tunneling in perturbation series
601
4
H. Suzuki
H. Yasuta
A Feynman paths approach to the tunneling time problem
605
4
N. Yamada
List of Participants
609