V. N. Romanov, A. S. Schwarz, “Anomalies and elliptic operators”, TMF, 41:2 (1979), 190–204; Theoret. and Math. Phys., 41:2 (1979), 967

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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 41, Number 2, Pages 190–204 (Mi tmf3054)

This article is cited in 47 scientific papers (total in 47 papers)

Anomalies and elliptic operators

V. N. Romanov, A. S. Schwarz

Full-text PDF (1631 kB) Citations (47)

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Abstract: The coefficients of the asymptotic expansion of

$\operatorname{Sp}\exp(-tA)$ in the limit

$t\to0$ for the operators of quantum field theory are calculated and it is shown how the obtained results can be applied to the calculation of the axial and conformal anomalies, charge renormalization in gauge theories, and to the investigation of two-dimensional electrodynamics.

Received: 13.12.1978

English version:
Theoretical and Mathematical Physics, 1979, Volume 41, Issue 2, Pages 967–977
DOI: https://doi.org/10.1007/BF01028502

Bibliographic databases:

Language: Russian

Citation: V. N. Romanov, A. S. Schwarz, “Anomalies and elliptic operators”, TMF, 41:2 (1979), 190–204; Theoret. and Math. Phys., 41:2 (1979), 967–977

Citation in format AMSBIB

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\by V.~N.~Romanov, A.~S.~Schwarz

\paper Anomalies and elliptic operators

\jour TMF

\yr 1979

\vol 41

\issue 2

\pages 190--204

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=555848}

\transl

\jour Theoret. and Math. Phys.

\yr 1979

\vol 41

\issue 2

\pages 967--977

\crossref{https://doi.org/10.1007/BF01028502}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JU82000004}

Linking options:

https://www.mathnet.ru/eng/tmf3054

https://www.mathnet.ru/eng/tmf/v41/i2/p190

This publication is cited in the following 47 articles:

Amin Faraji Astaneh, Sergey N. Solodukhin, “Fermions, boundaries, and conformal and chiral anomalies in d=3 , 4 and 5 dimensions”, Phys. Rev. D, 108:8 (2023)
Huanlan Yan, Huijuan Lu, Minchao Ye, Ke Yan, Yige Xu, Qun Jin, 2019 10th International Conference on Information Technology in Medicine and Education (ITME), 2019, 137
Andrey Losev, Igor Polyubin, Alexei Rosly, “Ultraviolet properties of the self-dual Yang-Mills theory”, J. High Energ. Phys., 2018:2 (2018)
Kwiatkowski G. Leble S., “Green Function Diagonal for a Class of Heat Equations”, Appl. Math. Comput., 219:11 (2013), 6084–6092
Kwiatkowski G. Leble S., “Quantum Corrections to Sg Equation Solutions and Applications”, Phys. Lett. A, 376:8-9 (2012), 991–995
Andrei Leonidov, Vladimir Nechitailo, “The QCD partition function in the external field in the covariant gauge”, J. Phys. A: Math. Gen., 39:12 (2006), L185
K. L. Malyshev, “Functional Integration with an “Automorphic” Boundary Condition and Correlators of Third Components of Spins in the $XX$ Heisenberg Model”, Theoret. and Math. Phys., 136:2 (2003), 1143–1154
Vassilevich, DV, “Heat kernel expansion: user's manual”, Physics Reports-Review Section of Physics Letters, 388:5–6 (2003), 279
D.V. Vassilevich, “Heat kernel expansion: user's manual”, Physics Reports, 388:5-6 (2003), 279
P. Gilkey, K. Kirsten, D. Vassilevich, A. Zelnikov, “Duality symmetry of the p-form effective action and supertrace of the twisted de Rham complex”, Nuclear Physics B, 648:3 (2003), 542
D.V. Vassilevich, A. Zelnikov, “Discrete symmetries of functional determinants”, Nuclear Physics B, 594:1-2 (2001), 501
Andrei A Bytsenko, Guido Cognola, Luciano Vanzo, Sergio Zerbini, “Quantum fields and extended objects in space-times with constant curvature spatial section”, Physics Reports, 266:1-2 (1996), 1
A. P. C. Malbouisson, “A direct proof of the non-existence of anomalies in odd dimension”, Nuov Cim B, 108:9 (1993), 987
V.P. Gusynin, E.V. Gorbar, “Local heat kernel asymptotics for nonminimal differential operators”, Physics Letters B, 270:1 (1991), 29
G. Cognola, L. Vanzo, S. Zerbini, “A new algorithm for asymptotic heat kernel expansion for manifolds with boundary”, Physics Letters B, 241:3 (1990), 381
R. Rennie, “Geometry and topology of chiral anomalies in gauge theories”, Advances in Physics, 39:6 (1990), 617
Pawel O. Mazur, Emil Mottola, “The path integral measure, conformal factor problem and stability of the ground state of quantum gravity”, Nuclear Physics B, 341:1 (1990), 187
David Groisser, Thomas H. Parker, “Semiclassical Yang-Mills theory I: Instantons”, Commun.Math. Phys., 135:1 (1990), 101
V.P. Gusynin, “New algorithm for computing the coefficients in the heat kernel expansion”, Physics Letters B, 225:3 (1989), 233
F. Freire, R.F. Picken, “Consistent non-abelian anomalies via the Fujikawa method”, Physics Letters B, 222:2 (1989), 253

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

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Full-text PDF :	184
References:	68
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