Gauss law in lattice QCD and its gauge-invariant Hilbert space

We solve the local Gauss law in lattice QCD in the presence of matter charges. This corresponds to constructing singlet states using Schwinger Bosons and Fermions of SU(3) group at each vertex of the lattice. We also calculate the action of various invariant operators on these states required for st...

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Bibliographic Details
Published in:Indian journal of physics 2021-08, Vol.95 (8), p.1651-1668
Main Authors: Sreeraj, T P, Anishetty, Ramesh
Format: Article
Language:English
Subjects:
Astrophysics and Astroparticles
Bosons
Fermions
Hilbert space
Invariants
Original Paper
Physics
Physics and Astronomy
Quantum chromodynamics
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Summary:We solve the local Gauss law in lattice QCD in the presence of matter charges. This corresponds to constructing singlet states using Schwinger Bosons and Fermions of SU(3) group at each vertex of the lattice. We also calculate the action of various invariant operators on these states required for studying the dynamics. The corresponding SU(2) case is also solved.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-021-02142-w