The Quantum Effective Action, Wave Functions and Yang-Mills (2+1)

Abstract

We explore the relationship between the quantum effective action and the ground state (and excited state) wave functions of a field theory. Applied to the Yang-Mills theory in 2+1 dimensions, we find the leading terms of the effective action from the ground state wave function previously obtained in the Hamiltonian formalism by solving the Schrodinger equation.

16 pages, expanded discussion section, added references, version accepted for Phys. Rev. D

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Cited by in corpus (4)

• Gauge-invariant Variables and Entanglement Entropy
• Casimir Effect in (2+1)-dimensional Yang-Mills Theory as a Probe of the Magnetic Mass
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• The Yang-Mills Vacuum Wave Functional in 2+1 Dimensions