Photon Neutrino Interaction in a Magnetized Medium
Keywords:
Finite temperature field theory, Weak interaction, NeutrinoAbstract
Loop induced interaction in a magnetized matter can make charge neutral fermions interact with photons. The matter or electromagnetic field induces an effective vertex and modifies the dispersion relation. In standard model of electroweak interaction, it has already been noted that in a medium neutrinos acquire an effective charge (from the vector type vertex of weak interaction). On the other hand in magnetized plasma, the axial vector part also start contributing to the effective charge of a neutrino. This contribution corresponding to the axial vector part in the interaction Lagrangian is denoted as the axial polarisation tensor. In an earlier paper the explicit form of the axial polarisation tensor to all odd orders in external magnetic field B was reported. In this note we complete that investigation by computing the same, to all even orders in external magnetic field. We further show its gauge invarience properties. Lastly, the zero external momentum limit of this axial polarisation tensor is reported.
Downloads
References
T. Altherr and P. Salati, The electric charge of neutrinos and plasmon decay, Nuclear Physics B 421(3) (1994), 662, DOI: 10.1016/0550-3213(94)90521-5.
K. Bhattacharya and A. K. Ganguly, Axial-vector–vector amplitude and neutrino effective charge in a magnetized medium, Physical Review D 68 (2003), 053011, DOI: 10.1103/PhysRevD.68.053011.
K. Bhattacharya, A. K. Ganguly and S. Konar, Neutrino interactions in a magnetized medium, Physical Review D 65 (2001), 013007, DOI: 10.1103/PhysRevD.65.013007. (Note. We take this opportunity to point out that in the last line of eq. (56), also on the left-hand sides of eq. (58) and eq. (59), in this reference, (frac{p^2_{|}-m^2}{(p^{'2}_{|} -m^2)+iepsilon}) should read (frac{delta(p^2_{|}-m^2)}{(p^{'2}_{|} -m^2)+iepsilon}). This is a typographical error and does not change the final result.)
J. Cooperstein, Neutrinos in supernovae, Physics Reports 163(1-3) (1988), 95 – 126, DOI: doi:10.1016/0370-1573(88)90038-5.
L. L. DeRaad Jr., K. A. Milton and N. D. H. Dass, Photon decay into neutrinos in a strong magnetic field, Physical Review D 14 (1976), 3326, DOI: 10.1103/PhysRevD.14.3326.
W. Dittrich, Effective Lagrangians at finite temperature, Physical Review D 19 (1979), 2385, DOI: 10.1103/PhysRevD.19.2385.
A. D. Dolgov, Cosmological implications of neutrinos, Surveys in High Energy Physics 17(1-4) (2002), 91 – 114, DOI: 10.1080/0124421021000054202.
P. Elmfors, D. Grasso and G. Raffelt, Neutrino dispersion in magnetized media and spin oscillations in the early Universe, Nuclear Physics B 479(1-2) (1996), 3 – 24, DOI: 10.1016/0550-3213(96)00431-2.
A. K. Ganguly, manuscript under preparation.
A. K. Ganguly, S. Konar and P. B. Pal, Faraday effect: A field theoretical point of view, Physical Review D 60 (1999), 105014, DOI: 10.1103/PhysRevD.60.105014.
C. Giunti and A. Studenikin, Neutrino electromagnetic interactions: A window to new physics, Reviews of Modern Physics 87 (2015), 531, DOI: 10.1103/RevModPhys.87.531.
A. N. Ioannisian and G. G. Raffelt, Cherenkov radiation by massless neutrinos in a magnetic field, Physical Review D 55 (1997), 7038, DOI: 10.1103/PhysRevD.55.7038.
S. Meuren, C. H. Keitel and A. D. Piazza, Nonlinear neutrino-photon interactions inside strong laser pulses, Journal of High Energy Physics 2015 (2015), 127, DOI: 10.1007/JHEP06(2015)127.
J. F. Nieves and P. B. Pal, Induced charge of neutrinos in a medium, Physical Review D 49 (1994), 1398, DOI: 10.1103/PhysRevD.49.1398.
V. N. Oraevskii, V. B. Semikoz and Ya. A. Smorodinsky, olarization loss and induced electric charge of neutrinos in plasmas, JETP Letters 43 (1986), 709, http://jetpletters.ru/ps/1413/article_21445.pdf.
G. G. Raffelt, Stars as Laboratories for Fundamental Physics, University of Chicago Press, (1996), https://wwwth.mpp.mpg.de/members/raffelt/mypapers/Stars.pdf.
J. Schwinger, On Gauge invariance and vacuum polarization, Physical Review Journals Archive 82 (1951), 664, DOI: 10.1103/PhysRev.82.664.
M. Sebastian, H. K. Christoph and A. D. Piazaa, Nonlinear neutrino-photon interactions inside strong laser pulses, Journal of High Energy Physics 2015 (2015), article number 127, DOI: 10.1007/JHEP06(2015)127.
W. Y. Tsai, Vacuum polarization in homogeneous magnetic fields, Physical Review D 10 (1974), 2699, DOI: 0.1103/PhysRevD.10.2699.
S. Weinberg, Gravitation and Cosmology: Principles and Applications of General theory of Relativity, John Wiley & Sons, New York, 657 pages (1972).
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
