Gauge transformations and quasitriangularity

DOI10.1023/A:1021464616507zbMATH Open0942.81017arXivq-alg/9607029OpenAlexW3126037314MaRDI QIDQ1574846

S. Zakrzewski

Publication date: 14 August 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Abstract: Natural conditions on a Poisson/quantum group G to implement Poisson/quantum gauge transformations on the lattice are investigated. In addition to our previous result that transformations on one lattice link require G to be coboundary, it is shown that for a sequence of links one needs a quasitriangular G.

Full work available at URL: https://arxiv.org/abs/q-alg/9607029

zbMATH Keywords

Hopf algebraPoisson Lie groupquantum gauge transformationsPoisson groupquasitriangular quantum group

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum field theory on lattices (81T25)

Related Items (5)

Quaternionic gauge fields and the geometric phase ⋮ Gauge transformations for self/anti-self charge conjugate states ⋮ Gauge transformations for quasitriangular quasi-Turaev group coalgebras ⋮ Gauge models in modified triplectic quantization ⋮ Gauge transformations of spectral triples with twisted real structures

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