Nontrivial vacuum solutions in flavor mixing and critical phenomena

The structure of the vacuum state plays profound role
in particle physics, being responsible for such
exciting phenomena as symmetry breaking,
Higgs-mediated mass generation, and many others.
Solutions for the nontrivial vacuum structure are
also important in flavor mixing, such as in the
mixing of neutrinos, and critical phenomena in
Quantum Field Theories - some of the most sensitive
tools available today to probe the physics beyond the
Standard Model. Using the method of
Bogolyubov-Valatin canonical transformation, we show
here how the exact structure of the vacuum state in
the quantum field theory of flavor mixing is derived,
which turns out to be a state unitary inequivalent to
the free-particle vacuum of the perturbation theory,
and develop the complete formulation of the flavor
mixing theory including the exact field-theoretic
mixing formulas and corrections to the charge
oscillations. We furthermore show how unitary
inequivalence may play the decisive role in the
radical degrees-of-freedom rearrangement during
phase transitions, likely to be responsible
for the phenomena such as quark-hadron duality and
the generation of constituent quark mass in Quantum
Chromodynamics.

Autorentext

Yuriy Mishchenko has received his PhD from the Departmentof Physics at North Carolina State University in TheoreticalPhysics, where he studied phenomena associated with nontrivialvacua in Quantum Field Theories. He is also interested incomputational methods and empirical and theoretical approaches tounderstand complexity in nature.

Klappentext

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.