Large-N gauge theories: lattice perspectives and conjectures
M. Teper

TL;DR
This paper reviews recent lattice studies of SU(N) gauge theories in 3+1 dimensions at large N, discussing confinement, string stability, topology, and phase transitions, highlighting how these insights inform our understanding of gauge theories.
Contribution
It provides a comprehensive summary of lattice results on large-N gauge theories, emphasizing new stable strings, topological aspects, and effective string descriptions, advancing theoretical understanding.
Findings
SU(oo) closely resembles SU(3) in certain properties
Identification of new stable strings at larger N
Insights into topology, theta-vacua, and deconfinement phenomena
Abstract
I summarise what recent lattice calculations tell us about the large-N limit of SU(N) gauge theories in 3+1 dimensions. The focus is on confinement, how close SU(oo) is to SU(3), new stable strings at larger N, deconfinement, topology and theta-vacua. I discuss the effective string theory description, as well as master fields, space-time reduction and non-analyticity.
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