The Yang–Mills existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems...

the existence of the quantum Yang–Mills theory and a mass gap. Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory...

Unsolved problem in physics: Yang–Mills theory and the mass gap. Quantum particles described by the theory have mass but the classical waves of the field...

The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial...

formulation) Symmetry breaking Symmetry in physics Yang–Mills theory Yang–Mills existence and mass gap 1964 PRL symmetry breaking papers Doughty, Noel (1990)...

superconductor model Beta function (physics) Lattice gauge theory Yang–Mills existence and mass gap Barger, V.; Phillips, R. (1997). Collider Physics. Addison–Wesley...

Perelman The Riemann hypothesis Yang–Mills existence and mass gap Navier–Stokes existence and smoothness The Birch and Swinnerton-Dyer conjecture Some...

geometrization conjecture) and expanded this to a book. All three groups found that the gaps in Perelman's papers were minor and could be filled in using...

the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular complex...

would be no special value in "creative leaps", no fundamental gap between solving a problem and recognizing the solution once it's found. — Scott Aaronson...

rotation).: 10  Yang–Mills existence and mass gap, one of the Millennium Prize Problems, concerns the well-defined existence of Yang–Mills theories as set...

quantum mechanics Fock symmetry Ward identities Yang–Mills theory Yang–Mills existence and mass gap 1964 PRL symmetry breaking papers Gauge theory (mathematics)...

Shankar, Arul (2015). "Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0". Annals...

Quantum electrodynamics Symmetry in quantum mechanics Yang–Mills theory Yang–Mills existence and mass gap J. Greensite (2011). An introduction to the confinement...

related to the consistency is the Yang–Mills existence and mass gap problem. Experiments indicate that neutrinos have mass, which the classic Standard Model...

Trudgian and Yang is from December 2022 and provides four zero-free regions that improved the previous results of Kevin Ford from 2002, Mossinghoff and Trudgian...

and Swinnerton-Dyer conjecture Hodge conjecture Navier–Stokes existence and smoothness P versus NP Riemann hypothesis Yang–Mills existence and mass gap...

about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open...

Lvovich Alpert Yamakawa Kenjirō Yang Fujia Yang–Baxter equation Yang–Mills existence and mass gap Yang–Mills theory Yang–Mills–Higgs equations Yarkovsky effect...

engineering. Inducement prize contest Space elevator competitions Competitions and prizes in biotechnology Data science competition platform Lists of awards...

have been suggested including Lie 3-algebras and Lie superalgebras. Neither of these fit with Yang–Mills theory. In particular Lie superalgebras would...

Millennium Problems is to realize the Wightman axioms in the case of Yang–Mills fields. One basic idea of the Wightman axioms is that there is a Hilbert...

cause of mass extinctions and the genomic contribution to biodiversification". arXiv:1212.4229 [q-bio.PE]. Stanley SM, Yang X (1994). "A double mass extinction...

relationship between mass extinctions and events that are most often cited as causes of mass extinctions, using data from Courtillot, Jaeger & Yang et al. (1996)...

holomorphic vector bundle admits a hermitian Yang–Mills connection if and only if the bundle is stable. A result of Yau and Karen Uhlenbeck generalized Donaldson's...

(the Adler-Bardeen theorem), the Yang-Mills and gravitational anomalies, the development of quantum chromodynamics and the Λ M S ¯ {\displaystyle \Lambda...

arbitrary compact gauge group, does a non-trivial quantum Yang–Mills theory with a finite mass gap exist? (This problem is also listed as one of the Millennium...

to the gap generation mechanism in superconductors. For instance, the photon propagating in the average interstellar vacuum acquires a tiny mass which...

enough that the electrons develop a mass and accompanying band gap of about 30 meV [0.03 Electron Volt(eV)]. The mass can be positive or negative. An arrangement...

Yang–Mills theory can be renormalized. The renormalization of Yang–Mills Theory predicts the existence of a massless particle, called the gluon, which could explain...