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Symmetries and the Antibracket: The Batalin-Vilkovisky Method
These lectures on the Batalin-Vilkovisky method of quantization were
delivered at "VII Mexican School of Particles and Fields", M\'erida, M\'exico,
October 30-November 6, 1996.
In section II, we study the derivation of BV from Schwinger-Dyson-BRST
symmetry; in section III, we consider some generalizations of the BV structure
suggested by our approach. In section IV, we present a connection between the
Poisson bracket and the antibracket and use it to relate the Nambu bracketc
with the generalized -brackets of section III.Comment: 38 pages, Late
Loop Quantum Gravity Corrections and Cosmic Ray Decays
Loop quantum gravity effective theories are reviewed in the context of the
observed GZK limit anomaly and related processes. This is accomplished through
a kinematical analysis of the modified threshold conditions for the involved
decay reactions, arising from the theory. Specially interesting is the
possibility of an helicity dependant violation of the limit, whose primary
effect would be the observation of favoured helicity states for highly
energetic particles.Comment: Revtex, 19 pages. Additional reference
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