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Properties of compact U(1) gauge theory on the equilateral close-packed lattice | Synapse

April 10, 2026Open Access

Properties of compact U(1) gauge theory on the equilateral close-packed lattice

Key Points

To explore the properties of compact U(1) gauge theory on the FCC lattice and compute associated integrals.
Analyzed compact U(1) lattice gauge theory on a face-centered cubic (FCC) lattice.
Performed numerical computation of the one-loop Brillouin zone integral.
Compared integral outcomes to expected theoretical values.
Calculated the one-loop Brillouin zone integral as −0.4769 at N = 256.
The computed value closely matches the theoretical requirement of −0.4775, with a discrepancy of only 0.12%.

Abstract

Compact U(1) lattice gauge theory on the FCC lattice with geometric coupling g² = π²/108.Note added after submission: The one-loop Brillouin zone integral has been computed numerically (2×Π₁(0) = −0.4769 at N = 256, matching the required −0.4775 to 0.12%). See Paper II (DOI: 10.5281/zenodo.19469280) for details and the extension to the mass spectrum.

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Cite This Study

Andrew Wright (Wed,) studied this question.

synapsesocial.com/papers/69d8962d6c1944d70ce0766d https://doi.org/https://doi.org/10.5281/zenodo.19469354

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