Creation and evolution of magnetic helicity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 10, 2000, Pages

  Pi, So Young ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144409114     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.105015     Document Type: Article

References (24)

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15. There are physically interesting situations where this term survives; see R. Jackiw and S.-Y. Pi, Phys. Lett. B 423, 364 (1998)
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19. G. Field, in Magnetospheric Phenomena in Astrophysics, edited by R. Epstein and W. Feldman, AIP Conf. Proc. No.144 (AIP, New York, 1986), p. 324.
20. The response to more general gauge transformations is as follows. Choosing the gauge function (Formula presented) [so that the form (2.23) is preserved] (Formula presented) change into (Formula presented) (Formula presented). Consequently the winding number becomes (Formula presented) Configurations with integer winding remain gauge invariant [provided (Formula presented) does not increase too rapidly at infinity]. For all other configurations, (Formula presented) must vanish at infinity to maintain gauge invariance of H. Moreover, the gauge function (Formula presented) is “well defined” at infinity only for vanishing (Formula presented). (We thank A. Polychronakos for discussion.)
21. Equation (2.28) was integrated numerically by Y. Bergner.
22. This magnetic field with integer winding number has also been constructed by C. Adam, B. Muratori, and C. Nash, Phys. Rev. D 60, 125001 (1999)
23. Phys. Rev. DM. Giovannini, 61, 063502 (2000).
24. Phys. Rev. DHalf-integer winding numbers are studied also in Adam et al. in the work cited as well as in K. Haller, L. Chen, and Y. S. Choi, 60, 125010 (1999).