[math-fun] Schwinger pair creation rate
[I happen to have found 3 different published papers which state 3 mutually disagreeing formulas for the Schwinger creation rate, and I suspect all 3 wrong... but they all agree it is nonzero :)... ]
--No -- make that 4 papers with 4 mutually disagreeing formulas when we add EQ1 of http://arxiv.org/pdf/hep-th/0507174v2.pdf to the list. No wait, here is a 5th paper with a 5th disagreeing formula: http://arxiv.org/pdf/hep-th/0107135v2.pdf EQ10 (see also EQ 2,3,4)! This last formula (which is claimed to agree with EQ18 in [Sree ram Valluri, Darrell R. Lamm, Julian Mielniczuk: Applications of the representation of the Heisenberg–Euler Lagrangian by means of special functions, Canadian Journal of Physics 71,7-8 (1993) 389-397; erratum 72,9-10 (1994) 683-685] claims to be valid in any uniform E and B combination-field and always yields a positive pair-creation rate if |E.B|>0. (Incidentally, this paper also uses a formula from Ramanujan notebooks.) Neato, except the Valluri-L-M paper claims the E field must be above a critical threshold to produce pairs, which is SIMPLY FALSE, so why should I believe anything else they say? These guys are unbelievable! How can they do this? -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)
a 6th disagreeing formula in a 6th paper: http://arxiv.org/pdf/hep-th/0301132v3.pdf I don't think I've ever experienced anything this bad. Also, they give results which are clearly dimensionally wrong, and perhaps are correct in some unit system, except they do not (if so) say what that unit system is.
7th paper on this, which disagrees as usual with all others, but this time actually cites others and says explicitly they are wrong, including: Schwinger was wrong, hence everybody who tried to re-use Schwinger was wrong. http://arxiv.org/pdf/0807.1117v2.pdf This paper actually looks to have some chance of helping unconfuse me.
participants (1)
-
Warren D Smith