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<p>The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large <i>N</i> limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described, applicable to SU(<i>N</i>) lattice gauge theories, with or without fundamental representation fermions, on cubic lattices of up to four dimensions. In addition to various test cases, initial results are presented for Hamiltonian Yang-Mills theory on an infinite two-dimensional spatial lattice.</p>

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Resurrecting the coherent state variational algorithm for large N gauge theories

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月8日

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  • Laurence G. Yaffe

摘要

The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large N limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described, applicable to SU(N) lattice gauge theories, with or without fundamental representation fermions, on cubic lattices of up to four dimensions. In addition to various test cases, initial results are presented for Hamiltonian Yang-Mills theory on an infinite two-dimensional spatial lattice.