A new type of loop independence and SU(N) quantum Yang–Mills theory in two dimensions

DOI10.1063/1.533123zbMath0976.58009OpenAlexW4230607680MaRDI QIDQ2737806

Christian Fleischhack

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533123

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Issues of holonomy in differential geometry (53C29) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (2)

An infinite-dimensional calculus for generalized connections on hypercubic lattices ⋮ Hyphs and the Ashtekar-Lewandowski measure

Cites Work

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• Two dimensional Yang-Mills theory via stochastic differential equations
• A construction of two-dimensional quantum chromodynamics
• Calculation of Wilson loops in two-dimensional Yang-Mills theories
• YM\(_ 2\): Continuum expectations, lattice convergence, and lassos
• On the support of the Ashtekar-Lewandowski measure
• Comment on a paper of Ashtekar and Isham
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• SU( N ) Quantum Yang–Mills theory in two dimensions: A complete solution
• Projective techniques and functional integration for gauge theories

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