The lattice Landau gauge photon propagator for 4D compact QED

Abstract

In this work we report on the Landau gauge photon propagator computed for pure gauge 4D compact QED in the confined and deconfined phases and for large lattices volumes: $32^4$, $48^4$ and $96^4$. In the confined phase, compact QED develops mass scales that render the propagator finite at all momentum scales and no volume dependence is observed for the simulations performed. Furthermore, for the confined phase the propagator is compatible with a Yukawa massive type functional form. For the deconfined phase the photon propagator seems to approach a free field propagator as the lattice volume is increased. In both cases, we also investigate the static potential and the average value of the number of Dirac strings in the gauge configurations $m$. In the confined phase the mass gap translates into a linearly growing static potential, while in the deconfined phase the static potential approaches a constant at large separations. Results shows that $m$ is, at least, one order of magnitude larger in the confined phase and confirm that the appearance of a confined phase is connected with the topology of the gauge group.

Version accepted for publication in PRD

References in corpus (7)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Correlation functions of Landau gauge Yang-Mills theory
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

Cited by in corpus (7)

• Casimir boundaries, monopoles, and deconfinement transition in 3+1 dimensional compact electrodynamics
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Looking at QED with Dyson-Schwinger equations: basic equations, Ward-Takahashi identities and the two-photon-two-fermion irreducible vertex
• Analytic continuation and physical content of the gluon propagator
• Gauge-covariant stochastic neural fields: Stability and finite-width effects
• Compact QED: the photon propagator, confinement and positivity violation for the pure gauge theory