arXiv subjects

Frank De Jonghe

Publications and source records attributed to Frank De Jonghe.

5 recordsLinked to original sources

arXiv1996

The BPHZ renormalised BV master equation and Two-loop Anomalies in Chiral Gravities

Anomalies and BRST invariance are governed, in the context of Lagrangian Batalin-Vilkovisky quantization, by the master equation, whose classical limit is $(S, S)=0$. Using Zimmerman's normal products and the BPHZ renormalisation method, we obtain a corresponding local quantum operator equation, which is valid to all orders in perturbation theory. The formulation implies a calculational method for anomalies to all orders that is useful also outside the BV context and that remains completely within regularised perturbation theory. It makes no difference in principle whether the anomaly appears at one loop or at higher loops. The method is illustrated by computing the one- and two-loop anomalies in chiral $W_3$ gravity.

hep-th↗

arXiv1994

The Batalin-Vilkovisky Lagrangian quantisation scheme, with applications to the study of anomalies in gauge theories

Only the first 15 percent of the file survived the censor that is hidden in the network resources in a previous attempt to submit this thesis to the bulletin board. Hopefully this makes an uncorrupted file available.

hep-th↗

arXiv1993

Improved Collective Field Formalism for an Antifield Scheme for Extended BRST Symmetry

We present a new collective field formalism with two rather than one collective field to derive the antifield formalism for extended BRST invariant quantisation. This gives a direct and physical proof of the scheme of Batalin, Lavrov and Tyutin, derived on algebraic grounds. The importance of the collective field in the quantisation of open algebras in both the BRST and extended BRST invariant way is stressed.

hep-th↗

arXiv1993

Schwinger--Dyson BRST symmetry and the Batalin--Vilkovisky Lagrangian Quantisation of Gauge Theories with Open or Reducible Gauge Algebras

In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.

hep-th↗

arXiv1993

Schwinger-Dyson BRST-Symmetry and the Equivalence of Hamiltonian and Lagrangian Quantistion

Implementing the requirement that a field theory be invariant under Schwinger-Dyson BRST symmetry in the Hamiltonian formalism, we show the equivalence between Hamiltonian and Lagrangian BRST-formalism at the path integral level. The Lagrangian quantum master equation is derived as a direct consequence of the Fradkin-Vilkovisky theorem in Hamiltonian BRST quantisation.

hep-th↗