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Yang-Mills existence and the mass gap
A question
Yang-Mills existence and the mass gap. A quantum Yang-Mills theory exists on four-dimensional Euclidean space for every compact simple gauge group, and has a mass gap greater than zero. Its chart is the tick stick stick_yang_mills_existence_and_mass_gap: what is sealed, what is cited and what stays open are read live at /stick?id=stick_yang_mills_existence_and_mass_gap. Open on the continuum; the gap is proven on the lattice at strong coupling (Osterwalder-Seiler 1978).
source
card id
card_question_yang_mills
address
SCI.millennium.FCT/yang-mills-existence-and-the-mass-gap/REF.WITNESSED@clay-mathematics-institu
adjoining cards
- on the shelf of → The Millennium sources — the papers behind the seven sticks — one of the seven questions the Millennium shelf is about
- open end of → The Millennium floor - seven open questions, and where they connect — an open question hanging off the floor of what is proven
- connects at → Zeta zeros and the lattice Dirac operator share GUE statistics — Zeta zeros and the lattice Dirac operator share GUE statistics. montgomery 1973; odlyzko 1
- connects at → The renormalization group, and the continuum limit as the question — The renormalization group, and the continuum limit as the question. wilson 1974; forster n
- connects at → The lattice sign problem is NP-hard — The lattice sign problem is NP-hard. troyer wiese 2005. Cited, not sealed: no arithmetic t
- open end of → The logarithm - the instrument the joints share — the open question this chain reaches
- connects at → D. J. Gross 1973 — Ultraviolet behavior of non-abelian gauge theories — where the logarithm enters: the coupling runs as one over the logarithm of the scale - sea
- builds on → A. Jaffe 2000 — Quantum Yang-Mills theory — a later work standing on an earlier one
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