Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Salmhofer M. — Renormalization: an introduction
Salmhofer M. — Renormalization: an introduction

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Renormalization: an introduction

Автор: Salmhofer M.

Аннотация:

This book grew out of a one-term course on renormalization at ETH Zürich. It provides a mathematically rigorous, yet simple and clear introduction to that subject. It can be read by students from the third year on and it leads the reader to a level where he or she can start reading the current research literature. The book gives a thorough introduction to field-theoretic techniques such as Feynman graph expansions and renormalization. Special effort has been made to make all proofs as simple as possible by using generating function techniques throughout. Renormalization is done by using an exact renormalization group differential equation. This technique, developed during the last few years and now appearing in a textbook for the first time, provides simple but complete proofs of renormalizability theorems.


Язык: en

Рубрика: Физика/Квантовая теория поля/Ренормализационная группа/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 231

Добавлена в каталог: 28.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Acoustical phonons      128
Annihilation operator      115
Band functions      114
Bare coupling constant      105
beta function      111
Bloch walls      45
Boltzmann factor      152
boundary conditions      19
Brownian motion      5
Canonical anticommutation relations      115 192
change of boundary conditions      88 93
Characteristic function      8
Charge density      116
chemical potential      118
Cluster expansions      40
Compatibility relation      44
Component form of the RG equation      69
Conditional Wiener measure      5
Connected amputated Green functions      41
Connected correlation functions      16
Connected Feynman graph      54
continuum limit      12 23 183
Convergence of the renormalized Green functions      82
Cooper instability      176
Correlation functions      15
Coulomb interaction      128
Counterterm function      174
Covariance      8
Creation operator      115
Critical phenomena      12
Critical temperature      176 178
Crystallization      113
Cutoff removal      49
Density of states      127
Dominated Convergence Theorem      62
Effective action      47
Euclidean invariance      75
Euclidean time      123
Even subalgebra of a Grassmann algebra      130 214
External leg      37
Factorial growth      79
Fermi distribution      121
Fermi gas      119
Fermi liquid behaviour      113 176
Fermi surface      121
Fermi surface harmonics      154
fermions      57 113
Ferromagnetic      18
Feynman graphs      27
Feynman — Kac formula      5
Feynman's path integral formula      4
Filling factor      123
Fock space      115
Formal power series      26
Four-legged subgraphs      103
Free energy density      40
Gaussian fields      9
Gaussian measure      5 8
Generalized tadpole graphs      99
Generating functional for the connected amputated Green functions      48
Geometry of the Fermi surface      113
Gram's inequality      199
grand canonical ensemble      118
Graph      42
Grassmann algebra      192
Grassmann bilinear form      124
Grassmann delta function      202
Grassmann Gaussian measure      124
Grassmann integrals      123
Green functions      15
Half-filled Hubbard model      129
Hard lines      55
Heat equation      68
Heat kernel      3
Hermite polynomials      32
high-temperature expansion      44
Hopping amplitude      117
Hopping parameters      114
Hubbard model      114
Imaginary time      6
Improved power counting      161
Infrared problem      113
Initial condition      90
Integrating out fluctuations      48
Interacting Fermi surface      176 178
Internal lines      37
Interpolating Fermi surface      156
Intersection volume      150
Invariance      12
Inverse temperature      118
Irrelevant terms      106
Ising model      17
Jellium model      129
Kaellen — Lehmann representation      24
Kohn — Luttinger effect      155 176
Labelled vertex      37
Ladder approximation      109
Landau pole      26 112
Lattice Laplacian      13
Lattice regularization      12
Lattice vibrations      114
Lie product formula      206
Local density of states      127
Local interaction      20
Loop integrations      87
Lorentz invariance      20
low-temperature expansion      45
Lower degree      181
Luttinger liquid behaviour      113 176
magnetic susceptibility      18
Marginal terms      106
Mass counterterm      88
Matsubara frequencies      125
Multigraph      42
Multiindex      91
Nambu formalism      212
Nearest-neighbour hopping      116
Neighbourhood of the Fermi surface      150
Non-ladder skeleton functions      163
Number density      120
Number operator      117
One-loop volume bound      220
Overlapping loops      157
Parquet four-point function      146
Parquet graphs      146
Particle-hole bubbles      155
Particle-hole flow      155
Particle-hole ladders      157
Particle-particle ladders      153
Partition      43
path integral      1
Pauli principle      121
Pauli — Villars cutoff      24
Permutational symmetry      73
Perturbative renormalizability      67
Perturbatively non-renormalizable      103
Phonon interactions      114
Planar graphs      189
Polymer activities      214
Polymer system      53
Positive temperature as a physical cutoff      122
Propagator      22
Random walk      16
Relevant terms      106
Renormalization      23
Renormalization condition      90
Renormalization group equation      63
Renormalized coupling constant      105
Renormalized perturbation theory      25
Resummations of perturbation theory      113
Ring of formal power series      181
Rotation invariance      65 101
RPA graphs      147
Scale parameter      63
screening      128
Self-contraction      35
Selfenergy      113
Semigroup of effective actions      63
Skeleton functions      140
Soft lines      55
Source terms      11 47
Spin rotation invariance      116
Substitution of formal power series      181
Summability of a family of formal power series      181
Superconductivity      113 153
Symmetry factors      54
Thermodynamic limit      12 114 183
Tight-binding approximation      114
Topological Feynman graphs      39
Tree-level-estimate      87
Trotter product formula      2
Two-legged insertions      86
Two-loop volume bound      222
Ultraviolet cutoff      12
Ultraviolet divergences      85
Vertex functions      49
Vertex set of a Feynman graph      37
Volume improvement factor      160
Wave function renormalization      90 179
Wick lines      55
Wick ordered monomials      30
Wick ordering      23 28
Wilson's effective action      41
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте