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Meyer-Ortmanns H., Reisz T. — Principles of phase structures in particle physics
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Название: Principles of phase structures in particle physicsАвторы: 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: Рубрика: Физика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 702Добавлена в каталог: 27.09.2014Операции: Положить на полку |
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158 581 167 18 157 167 157 639 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, 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, 19 109 Critical exponents, 19 35 109 Critical exponents, 19 36 109 282 Critical exponents, 51 84 280 Critical exponents, 19 36 505 Critical exponents, 59 Critical exponents, 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, 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, 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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