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- Quantum_triviality abstract "In a quantum field theory, charge screening can restrict the value of the observable \"renormalized\" charge of a classical theory. Ifthe only allowed value of the renormalized charge is zero, the theory is said to be \"trivial\" or noninteracting. Thus, surprisingly, a classical theory that appears to describe interacting particles can, whenrealized as a quantum field theory, become a \"trivial\" theory of noninteracting free particles. This phenomenon is referred to as quantum triviality. Strong evidence supports the idea that a field theory involving only a scalar Higgs boson is trivial in four spacetime dimensions, but the situation for realistic models including other particles in addition to the Higgs boson is not known in general. Nevertheless, because the Higgs boson plays a central role in the Standard Model of particle physics, the question of triviality in Higgs models is of great importance.This Higgs triviality is similar to the Landau pole problem in quantum electrodynamics, where this quantum theory may be inconsistent at very high momentum scales unless the renormalized charge is set to zero, i.e., unless the field theory has no interactions. The Landau pole question is generally considered to be of minor academic interest for quantum electrodynamics because of the inaccessibly large momentum scale at which the inconsistency appears. This is not however the case in theories that involve the elementary scalar Higgs boson, as the momentum scale at which a \"trivial\" theory exhibits inconsistencies may be accessible to present experimental efforts such as at the LHC. In these Higgs theories, the interactions of the Higgs particle with itself are posited to generate the masses of the W and Z bosons, as well as lepton masses like those of the electron and muon. If realistic models of particle physics such as the Standard Model suffer from triviality issues, the idea of an elementary scalar Higgs particle may have to be modified or abandoned.The situation becomes more complex in theories that involve other particles however. In fact, the addition of other particles can turn a trivial theory into a nontrivial one, at the cost of introducing constraints. Depending on the details of the theory, the Higgs mass can be bounded or even predictable. These quantum triviality constraints are in sharp contrast to the picture one derives at the classical level, where the Higgs mass is a free parameter.".
- Quantum_triviality wikiPageID "22003136".
- Quantum_triviality wikiPageLength "12294".
- Quantum_triviality wikiPageOutDegree "31".
- Quantum_triviality wikiPageRevisionID "703498266".
- Quantum_triviality wikiPageWikiLink Action_(physics).
- Quantum_triviality wikiPageWikiLink Asymptotic_freedom.
- Quantum_triviality wikiPageWikiLink Category:Concepts_in_physics.
- Quantum_triviality wikiPageWikiLink Category:Mathematical_physics.
- Quantum_triviality wikiPageWikiLink Category:Quantum_field_theory.
- Quantum_triviality wikiPageWikiLink Category:Quantum_mechanics.
- Quantum_triviality wikiPageWikiLink Critical_phenomena.
- Quantum_triviality wikiPageWikiLink Electron.
- Quantum_triviality wikiPageWikiLink Hamiltonian_(quantum_mechanics).
- Quantum_triviality wikiPageWikiLink Hierarchy_problem.
- Quantum_triviality wikiPageWikiLink Higgs_boson.
- Quantum_triviality wikiPageWikiLink Kenneth_G._Wilson.
- Quantum_triviality wikiPageWikiLink Kondo_effect.
- Quantum_triviality wikiPageWikiLink Landau_pole.
- Quantum_triviality wikiPageWikiLink Large_Hadron_Collider.
- Quantum_triviality wikiPageWikiLink Lattice_gauge_theory.
- Quantum_triviality wikiPageWikiLink Leo_Kadanoff.
- Quantum_triviality wikiPageWikiLink Lepton.
- Quantum_triviality wikiPageWikiLink Muon.
- Quantum_triviality wikiPageWikiLink Particle_physics.
- Quantum_triviality wikiPageWikiLink Partition_function_(quantum_field_theory).
- Quantum_triviality wikiPageWikiLink Quantum_electrodynamics.
- Quantum_triviality wikiPageWikiLink Quantum_field_theory.
- Quantum_triviality wikiPageWikiLink Reductio_ad_absurdum.
- Quantum_triviality wikiPageWikiLink Renormalization_group.
- Quantum_triviality wikiPageWikiLink Standard_Model.
- Quantum_triviality wikiPageWikiLink W_and_Z_bosons.
- Quantum_triviality wikiPageWikiLinkText "Quantum triviality".
- Quantum_triviality wikiPageWikiLinkText "lattice computations".
- Quantum_triviality wikiPageWikiLinkText "quantum triviality".
- Quantum_triviality wikiPageWikiLinkText "trivial".
- Quantum_triviality wikiPageWikiLinkText "triviality".
- Quantum_triviality wikiPageWikiLinkText "trivially".
- Quantum_triviality wikiPageUsesTemplate Template:=.
- Quantum_triviality wikiPageUsesTemplate Template:EquationNote.
- Quantum_triviality wikiPageUsesTemplate Template:EquationRef.
- Quantum_triviality wikiPageUsesTemplate Template:Math.
- Quantum_triviality wikiPageUsesTemplate Template:Mvar.
- Quantum_triviality wikiPageUsesTemplate Template:NumBlk.
- Quantum_triviality wikiPageUsesTemplate Template:Ordered_list.
- Quantum_triviality wikiPageUsesTemplate Template:Quantum_field_theory.
- Quantum_triviality wikiPageUsesTemplate Template:Reflist.
- Quantum_triviality subject Category:Concepts_in_physics.
- Quantum_triviality subject Category:Mathematical_physics.
- Quantum_triviality subject Category:Quantum_field_theory.
- Quantum_triviality subject Category:Quantum_mechanics.
- Quantum_triviality type Concept.
- Quantum_triviality type Mechanic.
- Quantum_triviality type Physic.
- Quantum_triviality comment "In a quantum field theory, charge screening can restrict the value of the observable \"renormalized\" charge of a classical theory. Ifthe only allowed value of the renormalized charge is zero, the theory is said to be \"trivial\" or noninteracting. Thus, surprisingly, a classical theory that appears to describe interacting particles can, whenrealized as a quantum field theory, become a \"trivial\" theory of noninteracting free particles. This phenomenon is referred to as quantum triviality.".
- Quantum_triviality label "Quantum triviality".
- Quantum_triviality sameAs Q3999164.
- Quantum_triviality sameAs Trivialità_quantistica.
- Quantum_triviality sameAs m.05p69j6.
- Quantum_triviality sameAs Квантова_тривіальність.
- Quantum_triviality sameAs Q3999164.
- Quantum_triviality wasDerivedFrom Quantum_triviality?oldid=703498266.
- Quantum_triviality isPrimaryTopicOf Quantum_triviality.