Despite three randomized trials, "there is no evidence that these persistent subjective complaints represent ongoing active infection or that repeated or prolonged courses of antibiotics ... provide any benefit."

[paywall] http://www.uptodate.com/contents/clinical-manifestations-of-...

http://www.ncbi.nlm.nih.gov/pubmed?term=11450676 N Engl J Med. 2001 Jul 12;345(2):85-92. Two controlled trials of antibiotic treatment in patients with persistent symptoms and a history of Lyme disease. Klempner MS1, Hu LT, Evans J, Schmid CH, Johnson GM, Trevino RP, Norton D, Levy L, Wall D, McCall J, Kosinski M, Weinstein A.

http://www.ncbi.nlm.nih.gov/pubmed?term=12821734 Study and treatment of post Lyme disease (STOP-LD): a randomized double masked clinical trial. Krupp LB, Hyman LG, Grimson R, Coyle PK, Melville P, Ahnn S, Dattwyler R, Chandler B Neurology. 2003;60(12):1923.

http://www.ncbi.nlm.nih.gov/pubmed?term=17928580 Neurology. 2008 Mar 25;70(13):992-1003. Epub 2007 Oct 10. A randomized, placebo-controlled trial of repeated IV antibiotic therapy for Lyme encephalopathy. Fallon BA1, Keilp JG, Corbera KM, Petkova E, Britton CB, Dwyer E, Slavov I, Cheng J, Dobkin J, Nelson DR, Sackeim HA.