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Exploring magnetic fluctuations effects in QED gauge fields: implications for mass generation
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Exploring magnetic fluctuations effects in QED gauge fields: implications for mass generation
abstract
In this work, we calculate the one-loop contribution to the polarization tensor for photons (and gluons) in the presence of a classical background magnetic field with white-noise stochastic fluctuations. The magnetic field fluctuations are incorporated into the fermion propagator in a quasi-particle picture, which we developed in previous works using the {\it replica trick}. By focusing on the strong-field limit, here we explicitly calculate the polarization tensor. Our results reveal that it does not satisfy the transversality conditions outlined by the Ward identity, thus breaking the $U(1)$ symmetry. As a consequence, in the limit of vanishing photon four-momenta, the tensor coefficients indicate the emergence of an effective magnetic mass induced on photons (and gluons) by these stochastic fluctuations, leading to the interpretation of a dispersive medium with a noise-dependent index of refraction.
Forward citations
Cited by 3 Pith papers
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QED vertex and anomalous magnetic moment in the presence of a magnetic field
In a background magnetic field the QED vertex decomposes into parallel and transverse structures even at tree level; the one-loop transverse anomalous magnetic moment is complex, forbids LLL-to-LLL transitions, and is...
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QED vertex and anomalous magnetic moment in the presence of a magnetic field
A one-loop QED calculation finds a magnetic-field-induced transverse anomalous magnetic moment with Landau-level selection rules, zero LLL-to-LLL strength, and opposite signs for reverse transitions.
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QED vertex and anomalous magnetic moment in the presence of a magnetic field
In a magnetic field the QED fermion–photon vertex already splits at tree level into longitudinal and transverse pieces, and one-loop corrections generate direction-dependent anomalous magnetic moments with selection r...
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