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We introduce gauge networks as generalizations of spin networks and lattice gauge fields to almost-commutative manifolds.
Inductive limits of finite dimensional C ∗ C^{\ast} -algebras
O. Bratteli · 1972
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Methods of Modern Mathematical Physics I: Functional Analysis
M. Reed and B. Simon · 1972
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The phase structure of a nonabelian gauge Higgs field system
C. Lang, C. Rebbi, and M. Virasoro · 1981
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Quarks, gluons and lattices
M. Creutz · 1983
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Topological charge in lattice gauge theory
P. Woit · 1983
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A lattice gauge theory with Higgs matter field in the adjoint representation
J. Drouffe, J. Jurkiewicz, and A. Krzywicki · 1984
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A new approach to computing Chern classes of U ( p ) U(p) valued lattice gauge fields
A. Phillips and D. Stone · 1991
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Spin network states in gauge theory
J. C. Baez · 1996
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Universal formula for noncommutative geometry actions: Unifications of gravity and the standard model
A. H. Chamseddine and A. Connes · 1996
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Spin foam models
J. C. Baez · 1998
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Classification of finite spectral triples
T. Krajewski, · 1998
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A farewell to unimodularity
S. Lazzarini and T. Schucker · 2001
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The dual of pure non-Abelian lattice gauge theory as a spin foam model
R. Oeckl and H. Pfeiffer · 2001
Cited alongside, same era.
Methods of contemporary gauge theory
Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients
E. Rassart · 2004
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Gravity and the standard model with neutrino mixing
A. H. Chamseddine, A. Connes, and M. Marcolli · 2007
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Noncommutative Geometry, Quantum Fields and Motives
A. Connes and M. Marcolli · 2008
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Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
A. H. Chamseddine and A. Connes · 2010
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Spin foams and noncommutative geometry
D. Denicola, M. Marcolli, and A. Zainy al-Yasry · 2010
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The noncommutative geometry of Yang-Mills fields
J. Boeijink and W. D. van Suijlekom · 2011
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Y. Makeenko · 2002
Cited alongside, same era.