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Induced current by a magnetic flux in (1+2)− dimensional conical spacetime in a Hořava-Lifshitz Lorentz-violating scenario
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DOI：10.1016/j.nuclphysb.2026.117569.png)
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Abstract
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We investigate the vacuum expectation value of the bosonic current induced by a magnetic flux in a (2+1) -dimensional conical spacetime in the presence of a circular boundary within a Hořava-Lifshitz Lorentz-violating scenario. The circular boundary is assumed to be concentric with the magnetic flux, and the massive scalar field is taken to satisfy Robin boundary conditions on it. To carry out the analysis, we construct the positive-frequency Wightman functions in both regions, namely, inside and outside the circular boundary. Using these functions, we derive analytical expressions for the corresponding vacuum currents. We show that the Wightman functions, as well as the induced currents, can be naturally decomposed into boundary-free and boundary-induced contributions. For the boundary-induced current, several asymptotic behaviors are examined in relevant limiting cases. In addition, numerical results are presented in order to provide a clearer understanding of the dependence of the induced currents on the parameters of the model.
Keywords:
03.70.+k
98.80.Cq
11.27.+d Induced current
Lorentz violating
conical spacetime,
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