I. Ya. Aref'eva, “Non-Abelian Stokes formula”, TMF, 43:1 (1980), 111–116; Theoret. and Math. Phys., 43:1 (1980), 353

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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 43, Number 1, Pages 111–116 (Mi tmf2927)

This article is cited in 85 scientific papers (total in 85 papers)

Non-Abelian Stokes formula

I. Ya. Aref'eva

Full-text PDF (529 kB) Citations (85)

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Abstract: Representation for parallel displacement along the close path in the principal fiber bundle with connection is formulated and proved. The representation is of the form of a certain ordered integral over the surface spanned by the path.

Received: 05.10.1979

English version:
Theoretical and Mathematical Physics, 1980, Volume 43, Issue 1, Pages 353–356
DOI: https://doi.org/10.1007/BF01018469

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: I. Ya. Aref'eva, “Non-Abelian Stokes formula”, TMF, 43:1 (1980), 111–116; Theoret. and Math. Phys., 43:1 (1980), 353–356

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf2927

https://www.mathnet.ru/eng/tmf/v43/i1/p111

This publication is cited in the following 85 articles:

P. Suprun, “Toward noncommutative two-dimensional integrals”, Phys. Rev. D, 111:2 (2025)
Valentin Benedetti, Horacio Casini, Javier Magan, “ABJ anomaly as a U(1) symmetry and Noether's theorem”, SciPost Phys., 18:2 (2025)
Alexander C. Tyner, Shouvik Sur, Qunfei Zhou, Danilo Puggioni, Pierre Darancet, James M. Rondinelli, Pallab Goswami, “In-plane Wilson loop for measurement of quantized non-Abelian Berry flux”, Phys. Rev. B, 109:19 (2024)
B. G. Zakharov, “EFFECT OF COLOR RANDOMIZATION ON pT BROADENING OF FAST PARTONS IN TURBULENT QUARK-GLUON PLASMA”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 166:2(8) (2024)
Matías Briceño, Cristián Martínez, Jorge Zanelli, “Central singularity of the BTZ geometries”, Phys. Rev. D, 110:2 (2024)
Thanadon Kongkoom, Sikarin Yoo-Kong, “Quantum integrability: Lagrangian 1-form case”, Nuclear Physics B, 987 (2023), 116101
Lu Chen, James Read, “Is the Metric Signature Really Electromagnetic in Origin?”, Philosophy of Physics, 1:1 (2023)
Andrei Smilga, “A comment on instantons and their fermion zero modes in adjoint QCD_2”, SciPost Phys., 10:6 (2021)
N Klitgaard, R Loll, M Reitz, R Toriumi, “Geometric flux formula for the gravitational Wilson loop”, Class. Quantum Grav., 38:7 (2021), 075011
Claudio Meneses, Contemporary Mathematics, 775, Mexican Mathematicians in the World, 2021, 233
Roman Pasechnik, Michal Šumbera, “Different Faces of Confinement”, Universe, 7:9 (2021), 330
Boris O. Volkov, “Lévy Laplacians and instantons on manifolds”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 23:2 (2020), 2050008–20
Hanno Sahlmann, Thomas Zilker, “Quantum surface holonomies for loop quantum gravity and their application to black hole horizons”, Phys. Rev. D, 102:2 (2020)
Simonov Yu.A., “Field Correlator Method For the Confinement in Qcd”, Phys. Rev. D, 99:5 (2019), 056012
Volkov B.O., “Levy Laplacian on Manifold and Yang-Mills Heat Flow”, Lobachevskii J. Math., 40:10, SI (2019), 1619–1630
Marcin Kisielowski, “Relation Between Regge Calculus and BF Theory on Manifolds with Defects”, Ann. Henri Poincaré, 20:5 (2019), 1403
Kyrylo Snizhko, Reinhold Egger, Yuval Gefen, “Non-Abelian Berry phase for open quantum systems: Topological protection versus geometric dephasing”, Phys. Rev. B, 100:8 (2019)
C P Constantinidis, L A Ferreira, G Luchini, “A mild source for the Wu–Yang magnetic monopole”, J. Phys. A: Math. Theor., 52:15 (2019), 155202
Arthur J. Parzygnat, “Two-dimensional algebra in lattice gauge theory”, Journal of Mathematical Physics, 60:4 (2019)
Ageev D.S. Aref'eva I.Ya. Golubtsova A.A. Gourgoulhon E., “Thermalization of Holographic Wilson Loops in Spacetimes With Spatial Anisotropy”, Nucl. Phys. B, 931 (2018), 506–536

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 :	325
References:	79
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