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Principles of Phase Structures in Particle Physics.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Reisz, Thomas (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2006.
Temas:
Acceso en línea:Texto completo

MARC

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520 |a 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. 
505 0 |a Preface ; 1. Introduction ; 2. General Background from Statistical Physics ; 2.1 Generalities ; 2.1.1 Phase transitions in statistical systems ; 2.1.1.1 First- and second-order transitions in the infinite volume limit ; 2.1.1.2 Landau's free energy 
505 8 |a 2.2 Generating functional n-point correlations and effective potentials 2.3 The molecular-mean field approximation ; 2.3.1 Self-consistent equation of state for a ferromagnet ; 2.3.1.1 Critical exponents in the molecular-mean field approximation 
505 8 |a 2.3.2 Variational estimates for the free energy of a spin system 2.3.3 Molecular-mean field approximation for an N-component scalar field theory in D dimensions ; 2.3.3.1 Solutions of the mean-field equations ; 2.3.3.2 Critical exponents in the symmetric phase 
505 8 |a 2.3.3.3 Critical exponents in the broken phase 2.3.3.4 First-order transitions within the molecular-mean field approximation ; 2.3.3.5 Tricritical behavior ; 2.3.4 Variational estimates for the SU(2) Higgs model ; 2.3.4.1 Solutions of the mean-field equations of the SU(2) Higgs model 
505 8 |a 2.3.5 Improved variational estimates for the SU(2) Higgs model 2.3.6 Summary ; 2.4 Renormalization group ; 2.4.1 Generalities ; 2.4.2 Block-spin transformations ; 2.4.3 Iteration of the block-spin transformation ; 2.4.4 Field renormalization 
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