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Russian bibliographic records for the later Fizmatlit edition give his name as Анатолий Иванович Оксак and list him with N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov.<ref name="jinr2006" /> The book treats quantum field theory from the standpoint of general principles rather than only as a calculational toolkit.<ref name="springer" />
Russian bibliographic records for the later Fizmatlit edition give his name as Анатолий Иванович Оксак and list him with N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov.<ref name="jinr2006" /> The book treats quantum field theory from the standpoint of general principles rather than only as a calculational toolkit.<ref name="springer" />


Oksak also worked on Lorentz-invariant forms and related representation-theoretic structures. His 1973 paper ''Trilinear Lorentz invariant forms'' is cited in later work on symmetry breaking operators for real reductive groups.<ref name="frahm">{{Cite web |last=Frahm |first=Jan |title=Symmetry Breaking Operators for Strongly Spherical Reductive Pairs |url=https://pure.au.dk/portal/files/345789731/sbo-strongly-spherical.pdf |website=Aarhus University Research Portal |access-date=2026-05-24}}</ref><ref name="osti">{{Cite web |title=Trilinear Lorentz invariant forms |url=https://www.osti.gov/pages/biblio/2519266 |website=OSTI.GOV |access-date=2026-05-24}}</ref>
Oksak also worked on Lorentz-invariant forms and related representation-theoretic structures. His 1973 paper ''Trilinear Lorentz invariant forms'' is cited in later work on symmetry breaking operators for real reductive groups.<ref name="oksak1973">{{Cite journal |last=Oksak |first=A. I. |date=1973 |title=Trilinear Lorentz invariant forms |journal=Communications in Mathematical Physics |volume=29 |issue=3 |pages=189-217 |doi=10.1007/BF01645247}}</ref><ref name="frahm">{{Cite web |last=Frahm |first=Jan |title=Symmetry Breaking Operators for Strongly Spherical Reductive Pairs |url=https://pure.au.dk/portal/files/345789731/sbo-strongly-spherical.pdf |website=Aarhus University Research Portal |access-date=2026-05-24}}</ref>


In Ivan Todorov's retrospective article ''Studying Quantum Field Theory'', Oksak is described as a collaborator on infinite-component fields from the mid-1960s and as instrumental in completing ''General Principles of Quantum Field Theory''.<ref name="todorov2013">{{Cite web |last=Todorov |first=Ivan |title=Studying Quantum Field Theory |url=https://arxiv.org/abs/1311.7258 |website=arXiv |date=2013-11-28 |access-date=2026-05-24}}</ref>
In Ivan Todorov's retrospective article ''Studying Quantum Field Theory'', Oksak is described as a collaborator on infinite-component fields from the mid-1960s and as instrumental in completing ''General Principles of Quantum Field Theory''.<ref name="todorov2013">{{Cite web |last=Todorov |first=Ivan |title=Studying Quantum Field Theory |url=https://arxiv.org/abs/1311.7258 |website=arXiv |date=2013-11-28 |access-date=2026-05-24}}</ref>
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== Selected works ==
== Selected works ==
* ''General Principles of Quantum Field Theory'' (1990), with N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov.<ref name="springer" />
* ''General Principles of Quantum Field Theory'' (1990), with N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov.<ref name="springer" />
* ''Trilinear Lorentz invariant forms'', ''Communications in Mathematical Physics'' 29 (1973), 189-217.<ref name="osti" />
* ''Trilinear Lorentz invariant forms'', ''Communications in Mathematical Physics'' 29 (1973), 189-217.<ref name="oksak1973" />


== References ==
== References ==

Revision as of 14:46, 24 May 2026


Anatolii Ivanovich Oksak




Known for General Principles of Quantum Field Theory; trilinear Lorentz-invariant forms

Anatolii Ivanovich Oksak (Russian: Анатолий Иванович Оксак; also cited as A. I. Oksak) is a mathematical physicist associated with axiomatic and general approaches to quantum field theory.[1][2]

Career and work

Oksak is cited in the Quantum Collection as one of the authors of General Principles of Quantum Field Theory, a monograph in the mathematical-physics tradition of quantum fields.[1][3] Springer lists him among the editors of the English edition and gives his affiliation as the Institute for High Energy Physics in Moscow.[1]

Russian bibliographic records for the later Fizmatlit edition give his name as Анатолий Иванович Оксак and list him with N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov.[2] The book treats quantum field theory from the standpoint of general principles rather than only as a calculational toolkit.[1]

Oksak also worked on Lorentz-invariant forms and related representation-theoretic structures. His 1973 paper Trilinear Lorentz invariant forms is cited in later work on symmetry breaking operators for real reductive groups.[4][5]

In Ivan Todorov's retrospective article Studying Quantum Field Theory, Oksak is described as a collaborator on infinite-component fields from the mid-1960s and as instrumental in completing General Principles of Quantum Field Theory.[6]

Selected works

  • General Principles of Quantum Field Theory (1990), with N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov.[1]
  • Trilinear Lorentz invariant forms, Communications in Mathematical Physics 29 (1973), 189-217.[4]

References

  1. ↑ 1.0 1.1 1.2 1.3 1.4 "General Principles of Quantum Field Theory". https://link.springer.com/book/10.1007/978-94-009-0491-0. 
  2. ↑ 2.0 2.1 "Monographs / Монографии". https://ntb.jinr.ru/buk/2006/p25.html. 
  3. ↑ "General principles of quantum field theory". https://cir.nii.ac.jp/crid/1970867909778836232. 
  4. ↑ 4.0 4.1 Oksak, A. I. (1973). "Trilinear Lorentz invariant forms". Communications in Mathematical Physics 29 (3): 189-217. doi:10.1007/BF01645247. 
  5. ↑ Frahm, Jan. "Symmetry Breaking Operators for Strongly Spherical Reductive Pairs". https://pure.au.dk/portal/files/345789731/sbo-strongly-spherical.pdf. 
  6. ↑ Todorov, Ivan (2013-11-28). "Studying Quantum Field Theory". https://arxiv.org/abs/1311.7258. 


Author: Harold Foppele


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