I. G. Avramidi, “Background field calculations in quantum field theory (vacuum polarization)”, TMF, 79:2 (1989), 219–231; Theoret. and Math. Phys., 79:2 (1989), 494

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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 79, Number 2, Pages 219–231 (Mi tmf4871)

This article is cited in 38 scientific papers (total in 38 papers)

Background field calculations in quantum field theory (vacuum polarization)

I. G. Avramidi

Full-text PDF (1107 kB) Citations (38)

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Abstract: A manifestly covariant technique for calculating the heat kernal asymptotic expansion is developed for the general case of arbitrary background fields and spaces. The first four coefficients of the asymptotic expansion which determine the vacuum polarization of massive quantum fields are explicitely calculated.

Received: 25.11.1987

English version:
Theoretical and Mathematical Physics, 1989, Volume 79, Issue 2, Pages 494–502
DOI: https://doi.org/10.1007/BF01016530

Bibliographic databases:

Language: Russian

Citation: I. G. Avramidi, “Background field calculations in quantum field theory (vacuum polarization)”, TMF, 79:2 (1989), 219–231; Theoret. and Math. Phys., 79:2 (1989), 494–502

Citation in format AMSBIB

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\by I.~G.~Avramidi

\paper Background field calculations in~quantum field theory (vacuum polarization)

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\yr 1989

\vol 79

\issue 2

\pages 219--231

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1007796}

\transl

\jour Theoret. and Math. Phys.

\yr 1989

\vol 79

\issue 2

\pages 494--502

\crossref{https://doi.org/10.1007/BF01016530}

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Linking options:

https://www.mathnet.ru/eng/tmf4871

https://www.mathnet.ru/eng/tmf/v79/i2/p219

This publication is cited in the following 38 articles:

Shagun Kaushal, “Fermionic entanglement in the presence of background electric and magnetic fields”, Eur. Phys. J. C, 85:1 (2025)
Renata Ferrero, Markus B. Fröb, William C. C. Lima, “Heat kernel coefficients for massive gravity”, Journal of Mathematical Physics, 65:8 (2024)
Yannick Kluth, Daniel F. Litim, “Heat kernel coefficients on the sphere in any dimension”, Eur. Phys. J. C, 80:3 (2020)
Jerzy Matyjasek, “Stress-energy of the quantized fields in the spacetime of the Damour-Solodukhin wormhole”, Phys. Rev. D, 102:2 (2020)
Jerzy Matyjasek, “Quantum fields in Bianchi type I spacetimes: The Kasner metric”, Phys. Rev. D, 98:10 (2018)
Jerzy Matyjasek, Paweł Sadurski, “Stress-energy tensor of the quantized massive fields in Schwarzschild-Tangherlini spacetimes: The backreaction”, Phys. Rev. D, 91:4 (2015)
Wen-Du Li, Wu-Sheng Dai, “Heat-kernel approach for scattering”, Eur. Phys. J. C, 75:6 (2015)
Jerzy Matyjasek, Paweł Sadurski, Małgorzata Telecka, “Vacuum polarization of the quantized massive fields in Friedman-Robertson-Walker spacetime”, Phys. Rev. D, 89:8 (2014)
Jerzy Matyjasek, Paweł Sadurski, “Stress-energy tensor of the quantized massive fields in Friedman-Robertson-Walker spacetimes”, Phys. Rev. D, 88:10 (2013)
Jerzy Matyjasek, Paweł Sadurski, Małgorzata Telecka, “Quantized spinor and vector fields in the spacetime of lukewarm black holes”, Phys. Rev. D, 86:8 (2012)
Jerzy Matyjasek, Dariusz Tryniecki, Katarzyna Zwierzchowska, “Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime”, Phys. Rev. D, 81:12 (2010)
Ivan G. Avramidi, “Heat Kernel on Homogeneous Bundles over Symmetric Spaces”, Commun. Math. Phys., 288:3 (2009), 963
JERZY MATYJASEK, DARIUSZ TRYNIECKI, “AdS2×S2 GEOMETRIES AND THE EXTREME QUANTUM-CORRECTED BLACK HOLES”, Mod. Phys. Lett. A, 24:31 (2009), 2517
Jerzy Matyjasek, Dariusz Tryniecki, “Next-to-leading term of the renormalized stress-energy tensor of the quantized massive scalar field in Schwarzschild spacetime. The back reaction”, Phys. Rev. D, 79:8 (2009)
S Yajima, S Tokuo, M Fukuda, Y Higashida, Y Kamo, S-I Kubota, H Taira, “Gravitational anomalies in higher dimensional Riemann–Cartan space”, Class. Quantum Grav., 24:4 (2007), 965
Jerzy Matyjasek, “Entropy of quantum-corrected black holes”, Phys. Rev. D, 74:10 (2006)
Jerzy Matyjasek, Małgorzata Telecka, Dariusz Tryniecki, “Higher dimensional black holes with a generalized gravitational action”, Phys. Rev. D, 73:12 (2006)
Satoshi Yajima, Shin-Ichiro Kubota, Yoji Higasida, Makoto Fukuda, Shoshi Tokuo, Yuki Kamo, “An irreducible form for the asymptotic expansion coefficients of the heat kernel of fermions in four-dimensional curved space”, Class. Quantum Grav., 23:4 (2006), 1193
Waldemar Berej, Jerzy Matyjasek, “Vacuum polarization in the spacetime of a charged nonlinear black hole”, Phys. Rev. D, 66:2 (2002)
Arkadii A. Popov, “Stress-energy of a quantized scalar field in static wormhole spacetimes”, Phys. Rev. D, 64:10 (2001)

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

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