Fermions, mass-gap and Landau levels: gauge invariant Hamiltonian for QCD in D = 2+1

DOI10.1088/1751-8113/48/46/465401zbMath1329.81360arXiv1504.07201OpenAlexW1825213093MaRDI QIDQ3458288

Abhishek Agarwal, V. Parameswaran Nair

Publication date: 18 December 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07201

zbMATH Keywords

mass gapgauge-invariant measureQCD(2+1)

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

Related Items (2)

Holomorphicity, vortex attachment, gauge invariance and the fractional quantum Hall effect ⋮ Metastable vacua in large-\(N\) \(\mathrm{QCD}_3\)

Cites Work

• Comments on large-\(N\) volume independence
• \(k\)-string tension from Eguchi-Kawai reduction
• Topological quantum field theory
• Functional Schrödinger equation for fermions in external gauge fields
• Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
• Gauge invariant variables and the Yang-Mills-Chern-Simons theory
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in \((2+1)\) dimensions
• The Hamiltonian approach to Yang-Mills (2+1): expansion scheme and corrections to string tension
• Large-\(N\) volume independence in conformal and confining gauge theories
• Yang-Mills theory in \(2+1\) dimensions: coupling of matter fields and string-breaking effects
• THE SCHRÖDINGER REPRESENTATION FOR FERMIONS AND A LOCAL EXPANSION OF THE SCHWINGER MODEL

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