The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions
C. Feuchter, H. Reinhardt
TL;DR
This paper applies a variational Hamiltonian approach to 2+1 dimensional Yang-Mills theory in Coulomb gauge, demonstrating consistency with lattice data and infrared divergence in ghost and gluon propagators.
Contribution
It extends the variational Hamiltonian method to 2+1 dimensions and compares results with lattice data, highlighting the necessity of infrared divergence for consistency.
Findings
Dyson-Schwinger equations yield consistent solutions with infrared divergence.
Numerical solutions match analytic infrared results.
Results agree with existing lattice data across momentum range.
Abstract
The variational approach to the Hamilton formulation of Yang-Mills theory in Coulomb gauge developed by the present authors previously is applied to Yang-Mills theory in 2+1 dimensions and is confronted with the existing lattice data. We show that the resulting Dyson-Schwinger equations (DSE) yield consistent solutions in 2+1 dimensions only for infrared divergent ghost form factor and gluon energy. The obtained numerical solutions of the DSE reproduce the analytic infrared results and are in satisfactory agreement with the existing lattice date in the whole momentum range.
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