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Meyer-Ortmanns H., Reisz T. — Principles of phase structures in particle physics
Meyer-Ortmanns H., Reisz T. — Principles of phase structures in particle physics



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Название: Principles of phase structures in particle physics

Авторы: Meyer-Ortmanns H., Reisz T.

Аннотация:

The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 702

Добавлена в каталог: 27.09.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\beta$-function      158 581
$\beta$-function, $SU(N_{f}) \times SU(N_{f})$-linear $\sigma$ model      167
$\delta$-function singularity      18
$\epsilon$-expansion      157 167
$\eta^{'}$ meson      157
$\rho$-resonance      639
Action, classical      208
Action, continuum      208
Adjoint Higgs field      194
Analytic continuation      252
Anomalous dimension      20 84 106 160 534
Antiferromagnet      596
Appelquist — Carazzone theorem      418 423 425
Asymptotic expansions      245
asymptotic freedom      174 227 450 581
Asymptotic power series      247
Asymptotic scaling      225 227
Autocorrelation time      553
axial anomaly      155 156 321
Axial gauge      230 233
Background field      175 391
Bag constant      631
Bag model      589 619
Barrier temperature      404
Baryon asymmetry      184
Baryon density      618
Baryon-number conservation      155
Baryon-number susceptibility      576
Baryon-number violation      184
Berezin integration      222
Beth — Uhlenbeck approach      611
big bang      6
Binder cumulant      140 200 563 566
Bjorken's scaling solution      628 631
Block field      97
Block lattice      83
Block-spin transformation      24 82
Boltzmann operator      239
Borel resummations      251
Borel summable      247
Bose-Einstein correlations      652
BPHZ-subtraction scheme      309
Bremsstrahlung      646
Brillouin zone      217
BRS-transformations      353
Bulk transitions      4 556 568
Canonical IR-dimension      94 344
Canonical UV-dimension      325 336
Cell complex      273
Central region      629
Central-limit theorem      38
Character expansion      259 262
Charge, chromo-electric      244
Charge, chromo-magnetic      244
chemical potential      592
chiral condensate      477 572
Chiral cumulant      566
Chiral limit      154 555 608
chiral perturbation theory      602
Chiral symmetry      602
Chiral symmetry restoration      222
Chiral transition      2 150 179 481 561 600 602
Classical continuum limit      310 330
Classical dimensional reduction      418
Clover action      591
Cluster property      450
Coarse-grained free energy      24
Color charge      231
Color screening      614
Columbia plot      180
Composite operator      311
Compressibility      18
Condensate susceptibility      485
confinement      231 244 450
Confinement phase      172
Confinement region      189
Confinement, mass gap      346
Connected correlation functions      288
Constraint effective potential      31 124 186 389
Constraint effective potential, $\Phi^{4}$-theory      395
Constraint effective potential, renormalized      403
continuum limit      4 92 208 209
Continuum limit, triviality issue      284
Convergent expansions      245
Correlation functions      558
Correlation functions, connected      83
Correlation functions, full      83
correlation length      20 54 106 113 122 281 559
Counterterm approach      317
Coupling, irrelevant      102
Coupling, marginal      103
Coupling, relevant      102
Critical coupling, SU(2) Higgs      74
Critical dimension      81
Critical endpoint      121 181 187 196 199 416
Critical exponents      564
Critical exponents, $\alpha$      19 109
Critical exponents, $\beta$      19 35 109
Critical exponents, $\delta$      19 36 109 282
Critical exponents, $\eta$      51 84 280
Critical exponents, $\gamma$      19 36 505
Critical exponents, $\gamma^{'}, \nu^{'}, \beta, \delta, \alpha, \alpha^{'}$      59
Critical exponents, $\nu$      280 505
Critical exponents, broken phase      58
Critical exponents, Gaussian      283 478
Critical exponents, Gross — Neveu      492
Critical exponents, Ising      283 478
Critical exponents, magnetic      150
Critical exponents, O(N)      540
Critical exponents, symmetric phase      55
Critical exponents, thermal      150
Critical manifold      93
Critical phenomena      80 246
Critical quark mass      181
Critical region      275
Critical slowing down      554
Critical temperature      21 81
Critical temperature, infinite-volume      131
Critical theory      339
Crossover phenomenon      567
Cumulant of a distribution      140
Cumulant, $U_{4}$      140
Curie Weiss model      39
Current, chromo-magnetic      244
Daisy-diagram resummations      378
Dalitz pairs      646
Debey screening      453 468
Decay photons      648
Decimation      194
Deconfinement      231 244 449
Deconfinement phase      172 260 420
Deconfinement region      189
Deconfinement transition      2 150 179 557
Decoupling theorem      170
Deflagration      625
Detonation      625
Diagrammatic approach LCE      290
Difference operator, backward      217
Difference operator, forward      217
Dileptons      639
Dileptons, production      623
Dileptons, rate      642 644
Dileptons, spectra      623 640
Dilute-gas approximation      611
Dimensional reduction      308 356 542
Dimensional reduction, complete      422
Dimensional reduction, introduction      417
Dimensional reduction, QCD      448 450
Dimensional reduction, SU(2) Higgs      194 508
Dimensional reduction, SU(N) gauge theory      454
Dimensional regularization      423
Dimensionless quantities      210
Dirac fermion      217
Direct photons      648
Discontinuity-fixed points      104
Disorder parameter      260
Domain of attraction      103
Double-peak structure      124 561 585
Drell — Yan production      639 646
Droplet formation      583
Dynamical linked cluster expansions      78 276 286
Dynamical mass generation      340 518
Dynamical quarks      175
Dysprosium      596 600
Effective action      24 28 29 173 176 595
Effective action on the lattice      447
Effective action, scale-dependent      517
Effective average action      526 529
effective Lagrangian      155
Effective potential      26 30
Eight-flavor QCD      562
Einstein's equations      589
Electric screening mass      354
Electroweak model      389
Electroweak transition      2 150
Electroweak transition, weak coupling      408
Energy, heavy-ion collisions      626
Engineering dimension      208 211
Enthalpy      638
entropy      18 42 576
Entropy production      625
Entropy, heavy-ion collisions      626
Equal-height condition      131
Equal-weight condition      131
Equation of state      576 582
Equation of state, bag model      619
Equation of state, Curie Weiss model      40
Equation of state, Ising ferromagnet      35
Equilibration time      620
Euclidean correlation functions      238
Expansion, heavy mass      515
Expansion, hopping      229
Expansion, linked cluster      229
Expansion, strong coupling      229
expectation value      27 205
External field      170
Fadeev — Popov action      351 460
Fadeev — Popov trick      216 348 350
Fermi constant      183
Fermionic determinant      217
Fermions, Ginsparg — Wilson      219
Fermions, staggered      218
Fermions, Wilson      218
Ferromagnet      17 33
Feynman parametrization      164
Feynman rules      438
Feynman-graph expansion      246
Field renormalization      100
Field theory, Gaussian      97
Field theory, scalar O(N)      279
Finite baryon density      592
Finite temperature      231
Finite-cutoff effects      227
Finite-mass scaling      563
Finite-size effects      451
Finite-size scaling      581
Finite-size scaling, first-order transitions      122
Finite-size scaling, second-order transitions      113
Fireball      620
Fixed point      81
Fixed point, IR-stable      166
Fixed point, UV-stable      166
Fixed-point action      93 158
Flavor-exchanging currents      223
Flip-flops      124
Flow equations      547
Flow equations, effective action      86
Flow equations, effective average action      527
Flow equations, Polchinski      517
Flow equations, vertex functional      528
Fluctuation field      391
Fluctuation induced      193
Fluctuation-dissipation theorem      28
Fluid rapidity      627
Flux tube      596 611
Forest formula      327 336 545
Fractal dimension      656
Fragmentation region      629
Free energy      17 172
Freeze-out volume      622
Functional Fourier transform      524
Functional integral      170
Functional measure      208
Fundamental/adjoint action      569
Gap equations      185 378 389 396 397 412 485 491
Gauge Fields      154
Gauge fixing      216 348
Gauge fixing, admissible      349
Gauge fixing, static-like      242
Gauge group, $SU(N_{c})$      212
Gauge orbit      215 347
Gauge symmetry      62
Gauge theory, SU(N)      173 230
Gauge transformations      214 235
Gauge transformations, ordinary      170
Gaussian exponents      58
Gaussian linearization      39
Generating functionals      26 33 311
Ghost fields, boundary conditions      456
Gibbs criteria      633
Gibbs distribution      43
Gibbs ensemble      41
Gibbs free energy      17
Ginsparg — Wilson fermions      332
Ginzburg — Landau models      618
Ginzburg-criterion      62
Glauber dynamics      657
Glueballs      634
Gluon plasma      376
Gluon-string breaking      450
Gluons      233
Goldstone bosons      157
Goldstone modes      403 539
Graph, 1PI      29
Grassmann variables      216
Green functions      87 236 516
Gross — Neveu model      420 477
Gross — Neveu model, finite N      500
Gross — Neveu model, infinite N      499
Gross — Neveu model, phase structure      491
Group manifold      347
Group measure      262
Haar measure      64 65 172 214 232 262 348 455
Haar measure on SU(2)      265
Hadronic phase      584 633 642
Hadronization      622
Hamiltonian formalism      229
Hanbury-Brown method      651
Hard-thermal loops      380
Heat-bath algorithm      554
Heavy modes      423
Heavy-ion collisions      620
Heisenberg ferromagnet      600
Higgs field      508
Higgs mass      184 187
Higgs mass, upper bound      285 416
Higgs mechanism      183
Higgs model      517
Higgs model, SU(3)      419
Higgs region      189
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