Antibracket, antifields and gauge-theory quantization

Gomis, Joaquim; París, Jordi; Samuel, Stuart

doi:10.1016/0370-1573(94)00112-g

Cited by 394 publications

(615 citation statements)

References 281 publications

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“…More detailed reviews on the BV scheme, reflecting the point of view of the present authors, can be found in [12,13,14]. Other recommended reading on BV is [15].…”

Section: Batalin-vilkovisky Lagrangian Quantisationmentioning

confidence: 99%

The BPHZ renormalised BV master equation and two-loop anomalies in chiral gravities

1996

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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 that is useful also outside this 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.

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“…More detailed reviews on the BV scheme, reflecting the point of view of the present authors, can be found in [12,13,14]. Other recommended reading on BV is [15].…”

Section: Batalin-vilkovisky Lagrangian Quantisationmentioning

confidence: 99%

The BPHZ renormalised BV master equation and two-loop anomalies in chiral gravities

1996

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“…The gauge structure of a theory is encoded in the BV formalism [21]. For a review, see for example [22,23]. The construction of the classical master equation and the BRST symmetry will be given elsewhere [24].…”

Section: Gauge Symmetriesmentioning

confidence: 99%

Dynamical sectors of a relativistic two particle model

et al. 2014

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We reconsider a model of two relativistic particles interacting via a multiplicative potential, as an example of a simple dynamical system with sectors, or branches, with different dynamics and degrees of freedom. The presence or absence of sectors depends on the values of rest masses. Some aspects of the canonical quantization are described. The model could be interpreted as a bigravity model in one dimension.

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“…To derive these conditions, we assume that there is a regularization scheme with the properties of dimensional regularization as used in [13], although we expect the cohomological restrictions to be independent of the regularization method. Notational conventions for the Batalin-Vilkovisky formalism will be those of the reviews [14,15]. The analysis applies to local and rigid symmetries if we understand the master equation to be the generalized master equation discussed in [16].…”

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confidence: 99%

Higher order cohomological restrictions on anomalies and counterterms

Barnich

1998

Physics Letters B

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Using a regularization with the properties of dimensional regularization, higher order local consistency conditions on one loop anomalies and divergent counterterms are given. They are derived without any a priori assumption on the form of the BRST cohomology and can be summarized by the statements that (i) the antibracket involving the first order divergent counterterms, respectively the first order anomaly, with any BRST cocycle is BRST exact, (ii) the first order divergent counterterms can be completed into a local deformation of the solution of the master equation and (iii) the first order anomaly can be deformed into a local cocycle of the deformed solution.

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Antibracket, antifields and gauge-theory quantization

Cited by 394 publications

References 281 publications

The BPHZ renormalised BV master equation and two-loop anomalies in chiral gravities

The BPHZ renormalised BV master equation and two-loop anomalies in chiral gravities

Dynamical sectors of a relativistic two particle model

Higher order cohomological restrictions on anomalies and counterterms

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