The abelian Higgs Kibble model, unitarity of the S-operator

“…The renormalized correlation functions corresponding to (5.11), (5.14) are found to be 16) and the renormalized expression for the lhs of (5.10) is…”

Section: The W 2 Anomaly From the Anomalous Ward Identitiesmentioning

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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“…From the above construction, it should be clear that the perturbative theory described by (2.4), when only external Φ lines are considered, and (2.1) are exactly the same. Indeed, for a given diagram, Φ external lines connect either to a smeared propagator 6) or to a shadow propagator…”

Section: The Nonlocally Regulated Actionmentioning

confidence: 99%

“…As currently formulated, this proposal relies on BRST invariance as fundamental principle and the use of sources to deal with BRST transformations [6] [7]. In this way, when quantum aspects are under consideration, the field-antifield formalism (in short, FA) resembles the BRST approach since, in fact, the sources for BRST transformations of the latter are nothing but the antifields of the former.…”

Section: Introductionmentioning

confidence: 99%

Non-locally regularized antibracket-antifield formalism and anomalies in chiral W3 gravity

París¹

1995

Nuclear Physics B

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The nonlocal regularization method, recently proposed in ref. [1,2,3], is extended to general gauge theories by reformulating it along the ideas of the antibracket-antifield formalism. From the interplay of both frameworks a fully regularized version of the field-antifield (FA) formalism arises, being able to deal with higher order loop corrections and to describe higher order loop contributions to the BRST anomaly. The quantum master equation, considered in the FA framework as the quantity parametrizing BRST anomalies, is argued to be incomplete at two and higher order loops and conjectured to reproduce only the one-loop corrections to theh p anomaly generated by the addition of O(h k ), k < p, counterterms.Chiral W 3 gravity is used to exemplify the nonlocally regularized FA formalism. First, the regularized one-loop quantum master equation is used to compute the complete one-loop anomaly. Its two-loop order, however, is shown to reproduce only the modification to the two-loop anomaly produced by the addition of a suitable one-loop counterterm, thereby providing an explicit verification of the previous statement for p = 2. The well-known universal two-loop anomaly, instead, is alternatively obtained from the BRST variation of the nonlocally regulated effective action. Incompleteness of the quantum master equation is thus concluded to be a consequence of a naive derivation of the FA BRST Ward identity.

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The abelian Higgs Kibble model, unitarity of the S-operator

Cited by 766 publications

References 11 publications

Spinor field realizations of non-critical strings

Spinor field realizations of non-critical strings

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

Non-locally regularized antibracket-antifield formalism and anomalies in chiral W3 gravity

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