Year: 2026
Type: article
Abstract: In [26], the leading order term of the free energy of $$\text{ U(N) }$$ U(N) lattice Yang-Mills theory in $$\Lambda _n=\{0,\ldots ,n\}^d\subset \mathbb {Z}^d$$ Λ n = { 0 , … , n } d ⊂ Z d was determined, for every $$N\ge 1$$ N ≥ 1 and $$d\ge 2$$ d ≥ 2 . The formula is explicit apart from a contribution $$K_d$$ K d which corresponds to the limiting free energy of lattice Maxwell theory with boundary conditions induced by the axial gauge. By suitably adjusting the boundary conditions, we provide an equivalent characterization of $$K_d$$ K d that admits its explicit computation.
Source: Journal of Statistical Physics
Author: Christian Brennecke
Institution: University of Bonn
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7165752409