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Title: Reply to “Comment on ‘Axion induced oscillating electric dipole moments’”

Here, we respond to a paper of Flambaum et al., claiming there is no effective induced oscillating electric dipole moment, e.g., for the electron, arising from interaction with an oscillating cosmic axion background via the anomaly. The relevant Feynman amplitude, Fig. 1, as computed by Flambaum et al., becomes a total divergence, and vanishes. Contrary to this result, we obtained a nonvanishing amplitude that yields physical electric dipole radiation for an electron (or any magnetic dipole moment) immersed in a cosmic axion field. We argue that Flambaum et al.’s counterclaim is incorrect, and is based upon a misunderstanding of a physics choice vs gauge choice, and an assumption that electric dipoles be defined only by coupling to static (constant in time) electric fields.
Authors:
 [1]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Report Number(s):
FERMILAB-PUB-15-438-T; arXiv:1510.05643
Journal ID: ISSN 2470-0010; PRVDAQ; 1399045
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1226347
Alternate Identifier(s):
OSTI ID: 1349396

Hill, Christopher T. Reply to “Comment on ‘Axion induced oscillating electric dipole moments’”. United States: N. p., Web. doi:10.1103/PhysRevD.95.058702.
Hill, Christopher T. Reply to “Comment on ‘Axion induced oscillating electric dipole moments’”. United States. doi:10.1103/PhysRevD.95.058702.
Hill, Christopher T. 2017. "Reply to “Comment on ‘Axion induced oscillating electric dipole moments’”". United States. doi:10.1103/PhysRevD.95.058702. https://www.osti.gov/servlets/purl/1226347.
@article{osti_1226347,
title = {Reply to “Comment on ‘Axion induced oscillating electric dipole moments’”},
author = {Hill, Christopher T.},
abstractNote = {Here, we respond to a paper of Flambaum et al., claiming there is no effective induced oscillating electric dipole moment, e.g., for the electron, arising from interaction with an oscillating cosmic axion background via the anomaly. The relevant Feynman amplitude, Fig. 1, as computed by Flambaum et al., becomes a total divergence, and vanishes. Contrary to this result, we obtained a nonvanishing amplitude that yields physical electric dipole radiation for an electron (or any magnetic dipole moment) immersed in a cosmic axion field. We argue that Flambaum et al.’s counterclaim is incorrect, and is based upon a misunderstanding of a physics choice vs gauge choice, and an assumption that electric dipoles be defined only by coupling to static (constant in time) electric fields.},
doi = {10.1103/PhysRevD.95.058702},
journal = {Physical Review D},
number = 5,
volume = 95,
place = {United States},
year = {2017},
month = {3}
}