Clay Four-Dimensional Yang–Mills Existence and Mass Gap
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1 · Prerequisites
None. This page is self-contained.
2 · Logical flowchart
3 · Items
Open problem
Four-dimensional Yang–Mills existence and mass gap
Sources
- Clay Mathematics Institute, Yang-Mills & the Mass Gap, current problem page
- Arthur Jaffe and Edward Witten, Quantum Yang-Mills Theory, in The Millennium Prize Problems, §§3–6
- Arthur Jaffe, Constructive Quantum Field Theory, §8, PDF p. 14, For the Millennium: Gauge Theory in Four Dimensions
- T. van Ritbergen, J. A. M. Vermaseren, and S. A. Larin, The four-loop beta-function in Quantum Chromodynamics, pp. 2–6, equations (1)–(8), pure-gauge specialization
- Arthur Jaffe and Edward Witten, Quantum Yang–Mills Theory, Clay-hosted standalone text, §4
- Konrad Osterwalder and Robert Schrader, Axioms for Euclidean Green’s Functions, Communications in Mathematical Physics 31 (1973), 83–112
- Konrad Osterwalder and Robert Schrader, Axioms for Euclidean Green’s Functions II, Communications in Mathematical Physics 42 (1975), 281–305