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

VL - 314

SP - 93

EP - 127

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -