Nontrivial vacuum solutions in flavor mixing and critical phenomena : The role of nontrivial vacuum solutions is explored in the context of the problems of flavor mixing and critical phenomena in Quan

ISBN-13: 9783639160192 / Angielski / Miękka / 2009 / 228 str.

Yuriy Mishchenko

Opis

The structure of the vacuum state plays profound rolein particle physics, being responsible for suchexciting phenomena as symmetry breaking,Higgs-mediated mass generation, and many others.Solutions for the nontrivial vacuum structure arealso important in flavor mixing, such as in themixing of neutrinos, and critical phenomena inQuantum Field Theories - some of the most sensitivetools available today to probe the physics beyond theStandard Model. Using the method ofBogolyubov-Valatin canonical transformation, we showhere how the exact structure of the vacuum state inthe quantum field theory of flavor mixing is derived,which turns out to be a state unitary inequivalent tothe free-particle vacuum of the perturbation theory,and develop the complete formulation of the flavormixing theory including the exact field-theoreticmixing formulas and corrections to the chargeoscillations. We furthermore show how unitaryinequivalence may play the decisive role in theradical degrees-of-freedom rearrangement duringphase transitions, likely to be responsiblefor the phenomena such as quark-hadron duality andthe generation of constituent quark mass in QuantumChromodynamics.

O autorze

Yuriy Mishchenko has received his PhD from the Department
of Physics at North Carolina State University in Theoretical
Physics, where he studied phenomena associated with nontrivial
vacua in Quantum Field Theories. He is also interested in
computational methods and empirical and theoretical approaches to
understand complexity in nature.