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Fried H.M. — Green's functions and ordered exponentials
Fried H.M. — Green's functions and ordered exponentials

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Название: Green's functions and ordered exponentials

Автор: Fried H.M.

Аннотация:

This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.


Язык: en

Рубрика: Математика/Математическая Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 182

Добавлена в каталог: 24.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abelian separation      126
Abel’s trick      46
Adiabatic SU(2) limits      150
Arnold diffusion      97 100
Bessel functions      9 12 139
Bloch — Nordsieck limit      108
Causal GF      12
Chaos in Duffing model      102
Chaos in vectorial interactions      89
Chaos, fluctuation-induced suppression      98 101
Cheng — Wu predictions      116 134
Cluster expansion      30
Completeness Condition      7
Dabaghian      100 101 105
Damping by radiative corrections      112
Delta functional      24
Duffing model      102
Dyson’s observation      44
Eikonal, approximations      115 118
Eikonal, scattering at ultra-high energies      134
Electromagnetic form factors      112
Environment-induced decoherence      99
Essential singularities      45 66
Fermion closed-loop functional      40 43 45 63
Feynman      32
Fixed-point SU(2) equations      152
Fradkin      32 34
Froissart bound      117 147
Functional Fourier transform      24
Functionals, cluster expansion      31
Functionals, definition      17
Functionals, differentiation      18
Functionals, integration      23
Functionals, linear translation      18
Functionals, quadratic (Gaussian) translation      20
Gauge invariance in QED and QCD      40
Gaussian FI      24
Generating functional      28
Grassmann variables      29
Green’s biosketch      16
Green’s functions (GF)      2—13 33 34
Hankel functions      12
High-energy particle scattering      115 133
Impact parameter      115
Integrable systems      106
Intrinsically non-perturbative process      50
inversion      54
Jackiw      112
KAM tori      78 100
Krisch variable      113
Ladder and crossed-ladder graphs      133—142
Lasers, idealization      51
Lasers, intensities needed for $e^+ e^-$ production      71
Lasers, motion of a classical charged particle      51
Lasers, overlapping      62
Lasers, possible $q\bar{q}$ separation      72
Linkage operator      21
Lyapunov exponents      97
Mass-shell amputation      30 109 116
Modified multiperipheral model      126 140
Multiperipheral model      116
Non-abelian      125
Ordered exponentials, applications      125
Ordered exponentials, properties      13
Pair production      45 62
Parametric evaluation of Gaussian FIs      21
Perturbative approximations      44
Phase-averaged approximation      76
Proper-time representations      33
QFT functional formalism      27
Quark-antiquark separation      72
Quasi-Abelian limit      128
Quenched approximation      98
Rescaling corrections      119-122
Retarded GF      10
Scalar laser solution      54
Scattering amplitudes      114 133 146
Schrodinger wave equation (SWE)      6 7
Schwinger      v 32 50 72
Sommerfield      21 32
Stochastic SU(2) limit      154
Stojkov      90
SU(N) exponentials      131
Symanzik      32
Tachyon      13
Total cross sections      134
Translational operators      18 20
Unitarity scattering shadow      117
Unitary SU(2) restrictions      150
Vertex function      111
Visconti      v
White-noise Gaussian FI(WNG)      163
Wu      114 116 134 147
X-ray fireball      72
Yennie      v
Zumino      21 32
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