Observations of high energy neutrinos, both in the laboratory and from cosmic
sources, can be a useful probe in searching for new physics. Such observations
can provide sensitive tests of Lorentz invariance violation (LIV), which may be
a the result of quantum gravity physics (QG). We review some observationally
testable consequences of LIV using effective field theory (EFT) formalism. To
do this, one can postulate the existence of additional small LIV terms in free
particle Lagrangians, suppressed by powers of the Planck mass. The
observational consequences of such terms are then examined. In particular, one
can place limits on a class of non-renormalizable, mass dimension five and six
Lorentz invariance violating operators that may be the result of QG.Comment: Version of a review article in Modern Physics Letters A with eq. (11)
corrected post-publication. arXiv admin note: substantial text overlap with
arXiv:1411.588
