Yang–Mills theory in 2 + 1 dimensions: Coupling of matter fields and string-breaking effects

We explore further the Hamiltonian formulation of Yang–Mills theory in 2 + 1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the screening of adjoint (and other screenable) representations can a...

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Bibliographic Details
Published in:Nuclear physics. B 2008-02, Vol.790 (1), p.216-239
Main Authors: Agarwal, Abhishek, Karabali, Dimitra, Nair, V.P.
Format: Article
Language:English
Subjects:
Adjoint screening
String-breaking
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Summary:We explore further the Hamiltonian formulation of Yang–Mills theory in 2 + 1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the screening of adjoint (and other screenable) representations can arise in this formalism. A Schrödinger equation is then derived for the gluelump states which are the daughter states when an adjoint string breaks. A variational solution of this Schrödinger equation leads to an analytic estimate of the string-breaking energy which is within 8.8% of the latest lattice estimates.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2007.09.007