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Finite axionic electrodynamics from a new non-commutative approach. (English) Zbl 1236.81189

Summary: Using the gauge-invariant but path-dependent variable formalism, we compute the static quantum potential for non-commutative axionic electrodynamics (or axionic electrodynamics in the presence of a minimal length). Accordingly, we obtain an ultraviolet finite static potential that is the sum of a Yukawa-type potential and a linear potential, leading to the confinement of static charges. Interestingly, it should be noted that this calculation involves no \(\theta \) expansion at all. The present result manifests the key role played by the new quantum of length in our analysis.

MSC:

81V10 Electromagnetic interaction; quantum electrodynamics
81T75 Noncommutative geometry methods in quantum field theory
81V25 Other elementary particle theory in quantum theory
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