Random surfaces and lattice Yang-Mills

M.-K. Park; Scott Sheffield⋆

doi:10.1090/cams/59

December 5, 2025Communications of the American Mathematical SocietyOpen Access

Random surfaces and lattice Yang-Mills

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Key Points

Wilson loop expectations depend on inverse temperature, enhancing understanding of lattice Yang-Mills models.
The analysis incorporates graph homomorphism, linking embedded planar maps to lattice structures.
This theoretical model highlights the role of lattice dimensions and compact Lie groups in quantum field theories.
The findings may enable further research into surface sums and their implications in mathematical physics.

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Implication

Analysis reveals Wilson loop expectations as functions of inverse temperature in lattice Yang-Mills, suggesting novel applications in theoretical physics.

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Park et al. (2025) studied this question.

synapsesocial.com/papers/6940225c2d562116f28fc638 https://doi.org/10.1090/cams/59

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Random surfaces and lattice Yang-Mills

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Discussion

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Random surfaces and lattice Yang-Mills

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Implication

Discussion

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