Abstract:
The procedure of canonical quantization is used to obtain a manifestly
Lorentz-invariant expression for the $S$ matrix of an antisymmetric tensor
field. It is shown that at the quantum level this theory is equivalent
to the nonlinear sigma model.
Citation:
A. A. Slavnov, S. A. Frolov, “Quantization of non-Abelian antisymmetric tensor field”, TMF, 75:2 (1988), 201–211; Theoret. and Math. Phys., 75:2 (1988), 470–477
This publication is cited in the following 24 articles:
Sergei M. Kuzenko, Emmanouil S. N. Raptakis, “Covariant quantisation of tensor multiplet models”, J. High Energ. Phys., 2024:9 (2024)
P. M. Lavrov, Ilya Shapiro, Handbook of Quantum Gravity, 2024, 389
P. M. Lavrov, I. L. Shapiro, Handbook of Quantum Gravity, 2023, 1
Buchbinder I.L. Ivanov E.A. Pletnev N.G., “Superfield approach to the construction of effective action in quantum field theory with extended supersymmetry”, Phys. Part. Nuclei, 47:3 (2016), 291–369
Pavel Yu. Moshin, Alexander A. Reshetnyak, “Finite BRST–antiBRST transformations in Lagrangian formalism”, Physics Letters B, 739 (2014), 110
Ignatios Antoniadis, George Savvidy, “New gauge anomalies and topological invariants in various dimensions”, Eur. Phys. J. C, 72:9 (2012)
Proc. Steklov Inst. Math., 272 (2011), 201–215
M. V. Chizhov, “Theory and phenomenology of spin-1 chiral particles”, Phys. Part. Nuclei, 42:1 (2011), 93
Peter M. Lavrov, “Sp(2) renormalization”, Nuclear Physics B, 849:2 (2011), 503
Lavrov P.M., Shapiro I.L., “Renormalization of gauge theories in curved space-time”, Physical Review D, 81:4 (2010), 044026
Savvidy G., “Topological mass generation four-dimensional gauge theory”, Phys Lett B, 694:1 (2010), 65–73
I. L. Buchbinder, N. G. Pletnev, “One-loop effective action in the $\mathcal N=2$ supersymmetric
massive Yang–Mills field theory”, Theoret. and Math. Phys., 157:1 (2008), 1383–1398
Bogusław Broda, Piotr Bronowski, Marcin Ostrowski, Michał Szanecki, “Quantization of four-dimensional Abelian gravity”, Physics Letters B, 655:3-4 (2007), 178
Geyer, B, “Gauge models in modified triplectic quantization”, International Journal of Modern Physics A, 16:26 (2001), 4297
P.M. Lavrov, P.Yu. Moshin, “Physical unitarity in the Lagrangian Sp(2)-symmetric formalism”, Nuclear Physics B, 486:3 (1997), 565
Joaquim Gomis, Jordi París, Stuart Samuel, “Antibracket, antifields and gauge-theory quantization”, Physics Reports, 259:1-2 (1995), 1
S. A. Frolov, “BRST quantization of gauge theories in Hamiltonian-like gauges”, Theoret. and Math. Phys., 87:2 (1991), 464–477
M. Baker, James S. Ball, F. Zachariasen, “Unitarity in dual QCD”, Phys. Rev. D, 44:8 (1991), 2578
A. A. Slavnov, S. A. Frolov, “Lagrangian BRST quantization and unitarity”, Theoret. and Math. Phys., 85:3 (1990), 1237–1255
N.K. Nielsen, “Quantum equivalence of four-dimensional nonlinear σ-model and antisymmetric tensor model”, Nuclear Physics B, 332:2 (1990), 391