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On the $\Theta$-term in electrodynamics

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arxiv hep-th/9809205 v1 pith:FARS7ZQL submitted 1998-09-30 hep-th gr-qc

classification hep-thgr-qc
keywords termchangeelectromagneticinfinitylagrangianpartsigmaspatial
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abstract

The term $\Theta\epsilon^{\mu\nu\rho\sigma}F_{\mu\nu}F_{\rho\sigma}$, when added to the electromagnetic Lagrangian $-{1\over 16\pi}F^{\mu\nu}F_{\mu\nu}$, does not change the signature of the Lagrangian. Actually, it increases the part with negative kinetic energy term at the spatial infinity. For this reason it does not change the conclusion, that at the spatial infinity the magnetic part of the electromagnetic field should be absent.

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  1. Magnetic Monopoles: Theoretical Insights into the Cosmic Ray Conundrum

    hep-ph 2025-07 conditional novelty 2.0 of 10

    The paper argues, following Staruszkiewicz, that positivity of the Hilbert space norm in the infrared limit of QED forbids isolated magnetic monopoles, which would explain their non-observation.

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