We investigate some general properties of linear gauge fixings and gauge-field correlators in lattice models with noncompact U(1) gauge symmetry. In particular, we show that, even in the presence of a gauge fixing, some gauge-field observables (like the photon-mass operator) are not well-defined, depending on the specific gauge fixing adopted and on its implementation. Numerical tests carried out in the three-dimensional noncompact lattice Abelian Higgs model fully support the analytical results and provide further insights.
Gauge fixing and gauge correlations in noncompact Abelian gauge models / Bonati, Claudio; Pelissetto, Andrea; Vicari, Ettore. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 108:1(2023), pp. 1-15. [10.1103/physrevd.108.014517]
Gauge fixing and gauge correlations in noncompact Abelian gauge models
Andrea Pelissetto;
2023
Abstract
We investigate some general properties of linear gauge fixings and gauge-field correlators in lattice models with noncompact U(1) gauge symmetry. In particular, we show that, even in the presence of a gauge fixing, some gauge-field observables (like the photon-mass operator) are not well-defined, depending on the specific gauge fixing adopted and on its implementation. Numerical tests carried out in the three-dimensional noncompact lattice Abelian Higgs model fully support the analytical results and provide further insights.| File | Dimensione | Formato | |
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