A. Yu. Alekseev, Ya. Madaichik, L. D. Faddeev, S. L. Shatashvili, “Derivation of anomalous commutator in the functional integral formalism”, TMF, 73:2 (1987), 187–190; Theoret. and Math. Phys., 73:2 (1987), 1149

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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 73, Number 2, Pages 187–190 (Mi tmf5617)

This article is cited in 16 scientific papers (total in 17 papers)

Derivation of anomalous commutator in the functional integral formalism

A. Yu. Alekseev, Ya. Madaichik, L. D. Faddeev, S. L. Shatashvili

Full-text PDF (369 kB) Citations (17)

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Abstract: A simple method of calculation of anomalous commutator in the theory of interacting chiral fermion and Yang–Mills fields is given.

Received: 26.06.1987

English version:
Theoretical and Mathematical Physics, 1987, Volume 73, Issue 2, Pages 1149–1151
DOI: https://doi.org/10.1007/BF01017583

Bibliographic databases:

Language: Russian

Citation: A. Yu. Alekseev, Ya. Madaichik, L. D. Faddeev, S. L. Shatashvili, “Derivation of anomalous commutator in the functional integral formalism”, TMF, 73:2 (1987), 187–190; Theoret. and Math. Phys., 73:2 (1987), 1149–1151

Citation in format AMSBIB

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\paper Derivation of anomalous commutator in the functional integral formalism

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\pages 187--190

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\transl

\jour Theoret. and Math. Phys.

\yr 1987

\vol 73

\issue 2

\pages 1149--1151

\crossref{https://doi.org/10.1007/BF01017583}

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Linking options:

https://www.mathnet.ru/eng/tmf5617

https://www.mathnet.ru/eng/tmf/v73/i2/p187

This publication is cited in the following 17 articles:

Chi-Ming Chang, Ying-Hsuan Lin, “On exotic consistent anomalies in (1+1)$d$: A ghost story”, SciPost Phys., 10:5 (2021)
L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081
Emmanuel Kohlprath, “Schwinger terms in gravitation in two dimensions as a consequence of the gravitational anomaly”, Journal of Mathematical Physics, 43:10 (2002), 4898
J. M. Pawlowski, “Gauss law operator algebra and double commutators in chiral gauge theories”, Phys. Rev. D, 57:2 (1998), 1193
A.A. Slavnov, “Regularization of constrained systems”, Nuclear Physics B - Proceedings Supplements, 57:1-3 (1997), 21
C. V. Sochichiu, “On the canonical quantization of anomalous $SU(N)$ chiral Yang–Mills models”, Theoret. and Math. Phys., 108:2 (1996), 1100–1109
A. A. Slavnov, S. A. Frolov, C. V. Sochichiu, “$SO(N)$-invariant Wess–Zumino action and its quantization”, Theoret. and Math. Phys., 105:2 (1995), 1407–1425
Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko, “Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)”, Russian Math. Surveys, 50:3 (1995), 643–659
Edwin Langmann, Jouko Mickelsson, “(3 + 1)-dimensional Schwinger terms and non-commutative geometry”, Physics Letters B, 338:2-3 (1994), 241
S.A. Frolov, A.A. Slavnov, C. Sochichiu, “On the SO(N) symmetry of the chiral SU(N) Yang-Mills model”, Physics Letters B, 301:1 (1993), 59
Reijiro Kubo, “Gauss law commutators in anomalous gauge theories from a geometrical point of view”, Phys. Rev. D, 47:6 (1993), 2591
Tadashi Inamoto, “Symplectic structures in the chirally gauged Wess-Zumino-Witten model”, Phys. Rev. D, 45:4 (1992), 1276
J. A. Azc�rraga, J. M. Izquierdo, “Anomalies from the Wess-Zumino-Witten action”, Z. Phys. C - Particles and Fields, 49:4 (1991), 627
R. Rennie, “Geometry and topology of chiral anomalies in gauge theories”, Advances in Physics, 39:6 (1990), 617
Gerald V. Dunne, Carlo A. Trugenberger, “Current algebra from Chern-Simons theories”, Physics Letters B, 248:3-4 (1990), 311
Christian Schwiebert, “A simple algebraic derivation of schwinger terms from chiral anomalies”, Physics Letters B, 241:2 (1990), 223
G.V. Dunne, C.A. Trugenberger, “Covariant Gauss law commutator anomaly”, Physics Letters B, 248:3-4 (1990), 305

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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