Exploring Quantum Chromodynamics and Effective Potential in Vacuum Physics
Delve into the intricacies of Quantum Chromodynamics and the concept of effective potential in the context of vacuum physics. Discover how quarks, leptons, photons, W and Z bosons, gluons, and the Higgs boson play crucial roles in shaping the fundamental structures of the quantum vacuum. Explore the nontrivial nature of the QCD vacuum, scalar fields, quark and gluon condensates, and the generation of potentials. Gain insights into domain wall models and the fascinating interplay between self-dual and anti-self-dual components in Abelian covariant fields.
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Presentation Transcript
Shalva Bilanishvili Domain Wall Model as Quantum Chromodyinamical Vacuum Frascati 2018
Matter: Quarks, Leptons. Interaction: Photons, W and Z Bosons, Gluons. Higgs boson is responsible for spontaneous symmetry breaking and mass origin.
In Quantum Chromodynamics there is no fundamental scalar field , this is why we are studing effective potential dependence on scalar objects combined by quark and gluon fields. For example: quark condensate ?? and gluon condensate ?????? QCD vacuum has nontrivial structure: vacuum systems ground state. classical analogue potential minimum. Quantum Field Theory effective potential.
Effective potential ??? ?exp{ ?[?,?, ?]} ? = ? ? ? Where S is Euclidean action Effective potential is defined by Green s function generating functional
????? = ???? + ??? ???? = 4?2?ln ??2 4 8?2 0 ?? ?3Tr? ?2??2??? 2? ?? 1 2 3?2 ?2?2 ??? =
Effective potential and Gluon condensate ?(?2) = ??2ln(??2) ? = 0.00528 ??? 4 ? = 0.433 ??? 4 U(?2)/Ge?4 ?2/Ge?4 arxiv.org/abs/1010.2153v2
????? 4 8?2 ?3Tr? ?2??2??? 2? ?? 1 2 3?2 ?2?2 ???,??? = Green: Gluon potential Red: Potentials sum Blue: Quark potential 0 2) ????,??? = 4?2?ln(??2+ ???
?2?2= 4?2 ~ 0.5GeV4 ???? 1.76 1.76 ? ? ~ 0.42fm Eur. Phys. J. A (2015) 51: 45 DOI 10.1140/epja/i2015-15045-8
Domain wall network as QCD vacuum The three-dimensional spatial domain wall separates the four-dimensional regions filled with the self-dual (blue color) and anti-self-dual (red color) Abelian covariantly constant gluon fields. Eur. Phys. J. A (2015) 51: 45 DOI 10.1140/epja/i2015-15045-8 Three-dimensional slices of the kink network additive superposition of numerous four-dimensional lumps.
