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May 13, 2026Journal of High Energy Physics0 citationsOpen Access

Resurrecting the coherent state variational algorithm for large N gauge theories

LYLaurence G. Yaffe

Key Points

  • This research aims to evaluate the use of coherent state variational methods for studying infinite volume QCD-like theories in the large N limit.
  • Developed a new implementation applicable to SU(N) lattice gauge theories.
  • Investigated both cases with and without fundamental representation fermions.
  • Conducted tests on cubic lattices up to four dimensions.
  • Initial results observed for Hamiltonian Yang-Mills theory on an infinite two-dimensional spatial lattice.
  • Test cases demonstrated the feasibility of the new approach.

Abstract

A bstract 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.

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Cite This Study

Laurence G. Yaffe (2026) studied this question.

synapsesocial.com/papers/6a0414f679e20c90b4444cf5https://doi.org/10.1007/jhep05(2026)091
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