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Antibracket, Antifields and Gauge-Theory Quantization
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The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail. The basic concepts involved in the antibracket formalism are elucidated. Gauge-fixing, quantum effects, and anomalies within the field-antifield formalism are developed. The concepts, issues and constructions are illustrated using eight gauge-theory models.
Forward citations
Cited by 7 Pith papers
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Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$
The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.
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On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials
Develops Čech-de Rham bicomplex from gerbe data for BV-BRST cohomology of U(1) 2-form gauge theories and anomaly polynomials of 1-form symmetries.
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Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation
Using the BV formalism, the authors show that descent equations turn ordinary higher-form symmetries into families of 'ghostly' symmetries generated by currents of nonzero ghost number.
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Adjustment of Faddeev-Popov quantization to reducible gauge theories: antisymmetric tensor fermion in $AdS_d$ space
A nested Faddeev-Popov procedure is derived for first-stage reducible gauge theories and yields the one-loop effective action of the rank-2 antisymmetric fermion in AdS_d as a ratio of Dirac-type functional determinants.
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Reframing classical mechanics: An AKSZ sigma model perspective
The Gozzi-Reuter-Thacker path integral for classical mechanics is recovered as a gauge-fixed one-dimensional AKSZ sigma model with target T*(T[1]M × R[1]).
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Supersymmetric twists in twistor space and holography
Computes minimal and chiral algebra twists of supersymmetric self-dual Yang-Mills and N=1 supergravity in twistor space, finding localization to spacetime or planes with matching holographic duals.
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Gauge-invariant Slavnov-Taylor Decomposition for Trilinear Vertices
The paper extends the FMS sector-by-sector Slavnov-Taylor decomposition to trilinear vertices at one loop and tabulates ultraviolet divergent amplitudes that are claimed to satisfy the identities.
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