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Quantum Yang-Mills Theory, section 6.5 (Yang-Mills Theory: Wilson's lattice approach)
Source of package wilson.lattice_1974 · claymath.org/wp-content/uploads/2022/06/yangmills.pdf#section6.5
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- urn:doctrine:physics:wilson-lattice-1974#treatise
JAFFE_WITTEN_WILSON_EDITION
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| https://www.claymath.org/wp-content/uploads/2022/06/yangmills.pdf | text/plain; charset=utf-8 | sha256:c061a2ec22535788efa2b0e0ec0feb058d81c084c5516bf8023a20423b720443 | 2026-09-17T00:00:00Z |
Fragments — 3
section6.5-lattice-action · lemma · referenced by: 6
en · official · sha256:abcfb12e538b0ed34b1bcbf8916f3d1023cf28951bcb3bfdd241b71f04b0f074
Wilson suggested a different approach based on approximating continuum space-time by a lattice, on which he defined a gauge-invariant action [48]. With a compact gauge group and a compactified space-time, the lattice approximation reduces the functional integration to a finite-dimensional integral. One must then verify the existence of limits of appropriate expectations of gauge-invariant observables as the lattice spacing tends to zero and as the volume tends to infinity.Referencing norms: WilsonLatticeDirect, WilsonLatticeProof, WilsonLatticeWellDefinedClaim, WilsonSource, lattice_well_defined_for, wilson-proves-lattice-well-defined
section6.5-reflection-positivity · lemma
en · official · sha256:ca9e937228dfcc37dddfa1ce73a1378d271b98b2ceb20afef66363b4947da906
Reflection positivity holds for the Wilson approximation [36], a major advantage; few methods exist to recover reflection positivity in case it is lost through regularization -- such as with dimensional regularization, Pauli-Villiars regularization, and many other methods. Establishing a quantum mechanical Hilbert space is part of the solution to this Millennium problem.ref-48 · defn
en · official · sha256:bd6bb9cf766555ff0c216dcb3b3b8c4eb6c796a1aefb2d04a9bf787c79d1bb97
[48] K. G. Wilson, Quarks and strings on a lattice, in New Phenomena In Subnuclear Physics, Proceedings of the 1975 Erice School, A. Zichichi, ed., Plenum Press, New York, 1977.The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.