https://doi.org/10.1051/epjconf/202227402004
Compact QED: the photon propagator, confinement and positivity violation for the pure gauge theory
1 CFisUC, Department of Physics, University of Coimbra, 3004-516 Coimbra, Portugal
2 Los Angeles Pierce College, 6201 Winnetka Ave., Woodland Hills CA 91371, USA
* e-mail: orlando@uc.pt
** e-mail: loverilc@piercecollege.edu
*** e-mail: psilva@uc.pt
Published online: 22 December 2022
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.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
