TY - JOUR
T1 - Batalin-Vilkovisky Formalism in the Functional Approach to Classical Field Theory
AU - Fredenhagen, K.
AU - Rejzner, K.
PY - 2012/7/1
Y1 - 2012/7/1
N2 - We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local covariance which amounts to formulate the theory without reference to a distinguished spacetime. In particular, this allows a homological construction of the Poisson algebra of observables in classical gravity. Our methods heavily rely on the differential geometry of configuration spaces of classical fields.
AB - We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local covariance which amounts to formulate the theory without reference to a distinguished spacetime. In particular, this allows a homological construction of the Poisson algebra of observables in classical gravity. Our methods heavily rely on the differential geometry of configuration spaces of classical fields.
UR - http://www.scopus.com/inward/record.url?scp=84864440613&partnerID=8YFLogxK
U2 - 10.1007/s00220-012-1487-y
DO - 10.1007/s00220-012-1487-y
M3 - Article
AN - SCOPUS:84864440613
SN - 0010-3616
VL - 314
SP - 93
EP - 127
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -