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. Contents:General Background from Statistical PhysicsField Theoretical Framework for Models in Particle PhysicsAnalytic Methods on the Lattice and in the ContinuumNumerical Methods in Lattice Field TheoriesEffective Actions in the ContinuumPhenomenological Applications to Relativistic Heavy-Ion Collisions Readership: Theoretical and high energy physicists. Keywords:(4.5.39) In order to achieve that after resummation the Feynman-diagram expansion becomes a small-X expansion ... To find the graphs of Us /2(d) we adapt the power counting rules of section 4.4 to the present case. The general rule to find the order of a Feynman diagram is as follows. Let T be any 1PI- vacuum diagram, with Vr, 3 and VF4 the number of its three- and four-point vertices, respectively, andanbsp;...
|Title||:||Principles of Phase Structures in Particle Physics|
|Author||:||Hildegard Meyer-Ortmanns, Thomas Reisz|
|Publisher||:||World Scientific - 2006-12-06|