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Mass gap

In quantum field theory, the mass gap is the difference in energy between the lowest energy state, the vacuum, and the next lowest energy state. The energy of the vacuum is zero by definition, and assuming that all energy states can be thought of as particles in plane-waves, the mass gap is the mass of the lightest particle.

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Examples from classical theories

Spontaneous breaking of symmetryHiggs mechanismGoldstone bosonsGauge freedomJacobi elliptic function
6 related topics

Mathematical definitions

Two-point functionYang–Mills theoryPropagator
3 related topics

Yang–Mills theory

Clay InstituteMillennium problemsGlueballs
3 related topics

Källén–Lehmann representation

Källén–Lehmann spectral representationGauge theoryTrivial
3 related topics

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Mathematical definitions

Examples from classical theories

Yang–Mills theory

Källén–Lehmann representation

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Mass gap

Nodes28
Edges27
Triples29
Avg. degree1.93
Density0.071429
Components1

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Mass gap

Top relations

related to External links · 11
Mass gap → Archived, August, Dispersive Wiki, Francis Villatoro, Lorenzo, Sadun, Video, Wayback MachineMass, Witten, Yang-Mills, YouTube
related to Examples from classical theories · 6
Mass gap → An, Consider, Goldstone, Higgs, In, Quantization
related to Yang–Mills theory · 6
Mass gap → Clay Institute Millennium, Mills, Such, This, While, Yang
is a · 2
Mass gap → difference in energy between the lowest energy state, mass of the lightest particle.Since the energies of exact
related to Källén–Lehmann representation · 2
Mass gap → If Källén, Lehmann
related to Mathematical definitions · 2
Mass gap → Delta, For

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Important terminology

mass gap theory displaystyle energy propagator mu field vacuum lattice case quantum classical theories yang mills property sum delta massless

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SubjectPredicateObjectConfidenceSrc
Mass gapis adifference in energy between the lowest energy state0.90text
Mass gapis amass of the lightest particle.Since the energies of exact0.90text
Mass gaprelated to Examples from classical theoriesAn0.60section
Mass gaprelated to Examples from classical theoriesHiggs0.60section
Mass gaprelated to Examples from classical theoriesIn0.60section
Mass gaprelated to Examples from classical theoriesGoldstone0.60section
Mass gaprelated to Examples from classical theoriesQuantization0.60section
Mass gaprelated to Examples from classical theoriesConsider0.60section
Mass gaprelated to External linksSadun0.60section
Mass gaprelated to External linksLorenzo0.60section
Mass gaprelated to External linksYang-Mills0.60section
Mass gaprelated to External linksVideo0.60section

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