Compact QED: the photon propagator, confinement and positivity violation for the pure gauge theory

The lattice Landau gauge photon propagator for the pure gauge theory is revisited by using large lattices. For the confined case we show that it has an associated linearly growing potential, it has a mass gap, that is related to the presence of monopoles, and its spectral function violates positivit...

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Bibliographic Details
Published in:EPJ Web of conferences 2022, Vol.274, p.2004
Main Authors: Oliveira, Orlando, Loveridge, Lee C., Silva, Paulo J
Format: Article
Language:English
Subjects:
Field theory
Gauge theory
Lattices
Photons
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Summary:The lattice Landau gauge photon propagator for the pure gauge theory is revisited by using large lattices. For the confined case we show that it has an associated linearly growing potential, it has a mass gap, that is related to the presence of monopoles, and its spectral function violates positivity. In the deconfined phase, our simulations suggest that a free field theory is recovered in the thermodynamic limit.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/202227402004