V A Fock and gauge symmetry

L.B. Okun
Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

V A Fock, in 1926, was the first to have the idea of an Abelian gradient transformation and to discover that the electromagnetic interaction of charged particles has a gradient invariance in the framework of quantum mechanics. These transformation and invariance were respectively named Eichtransformation and Eichinvarianz by H Weyl in 1929 (the German verb zu eichen means to gauge). The first non-Abelian gauge theory was suggested by O. Klein in 1938, and in 1954, C N Yang and R L Mills rediscovered the non-Abelian gauge symmetry. Gauge invariance is the underlying principle of the current Standard Model of strong and electroweak interactions.

PACS: 01.65.+g, 11.15.−q, 11.30.−j (all)
DOI: 10.3367/UFNe.0180.201008g.0871
URL: https://ufn.ru/en/articles/2010/8/g/
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000284266400007
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2-s2.0-78649535962
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2010PhyU...53..835O
Citation: Okun L B "V A Fock and gauge symmetry" Phys. Usp. 53 835–837 (2010)

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Оригинал: Окунь Л Б «В.А. Фок и калибровочная симметрия» УФН 180 871–873 (2010); DOI: 10.3367/UFNr.0180.201008g.0871

V.A. Fok is author of Physics-Uspekhi

References (36) ↓ Cited by (7) Similar articles (20)

Okun L B Quantum Theory, in Honour of Vladimir A. Fock (Proc. of the VIII UNESCO Intern. School of Physics, St. Petersburg, 25 May - 6 June 1998) Pt. 2 (Eds Yu Novozhilov, V Novozhilov) (St. Petersburg: Univ. Euro-Asian Phys. Soc., 1998) p. 13
Weyl H Ann. Physik 364 101 (1919), tom ukazan po edinoi numeratsii tomov, vvedennoi na saite Wiley InterScience, v pechatnom izdanii — tom 59
Kaluza Th Berl. Ber. 966 (1921)
de Broglie L Ann. Physique 3 (10) 22 (1925)
Schrödinger E Ann. Physik 384 361 (1926), tom ukazan po edinoi numeratsii tomov, vvedennoi na saite Wiley InterScience, v pechatnom izdanii — tom 79; Schrödinger E Ann. Physik 384 489 (1926), tom ukazan po edinoi numeratsii tomov, vvedennoi na saite Wiley InterScience, v pechatnom izdanii — tom 79
Klein O Z. Phys. 384 489 (1926)
Fock V Z. Phys. 39 226 (1926)
Gordon W Z. Phys. 40 117 (1926)
Landau L D, Lifshits E M Teoriya Polya (M.: GIFML, 1960); Landau L D, Lifshitz E M The Classical Theory Of Fields (Oxford: Pergamon Press, 1962), § 18
Jackson J D Classical Electrodynamics (1999); Dzhekson Dzh Klassicheskaya Elektrodinamika (M.: Mir, 1965)
London F Z. Phys. 42 375 (1927)
London F Naturwissenschaften 15 187 (1927)
Weyl H Gruppentheorie Und Quantenmechanik (Leipzig: S. Hirzel, 1928), § 19, Seite 88
Weyl H Z. Phys. 56 330 (1929)
Landau L D, Lifshits E M Teoriya Polya (M.-L.: GITTL, 1941), § 16; Landau L D, Lifshitz E M The Classical Theory Of Fields (Cambridge: Addison-Wesley, 1951)
Fok V AKotel’nikov A P, Fok V A Nekotorye Primeneniya Idei Lobachevskogo v Mekhanike i Fizike (M.-L.: GITTL, 1950) p. 59
Fock V Z. Phys. 57 261 (1929)
Weyl H Symmetry (Princeton: Princeton Univ. Press, 1952)
Ogievetskii V I, Polubarinov I V Zh. Eksp. Teor. Fiz. 41 247 (1961); Ogievetskii V I, Polubarinov I V Sov. Phys. JETP 14 179 (1962)
Okun’ L B Leptony i Kvarki (M.: Nauka, 1981); Okun L B Leptons And Quarks (Amsterdam: North-Holland Publ. Co., 1982)
Okun L B Surv. High Energy Phys. 5 199 (1986)
Okun L B, Zeldovich Ya B Phys. Lett. B 78 597 (1978)
Voloshin M B, Okun’ L B Pis’ma ZhETF 28 156 (1978); Voloshin M B, Okun L B JETP Lett. 28 145 (1978)
Okun’ L B Usp. Fiz. Nauk 158 293 (1989); Okun L B Sov. Phys. Usp. 32 543 (1989); Okun L B Comments Nucl. Part. Phys. 19 (1989); Okun L B Phys. Rev. D 45 (11) (1992), Part II, Section VI.10
Lorentz H A Encyklopädie Der Mathematischen Wissenschaften (Leipzig: B.G. Teubner, 1904), Band V2, Heft 1, seite 157
Maxwell J C A Treatise On Electricity And Magnetism Vol. 2 (Oxford: Clarendon Press, 1873), Sect. 616, Eq. (7); reprinted, Maxwell J C A Treatise On Electricity And Magnetism (New York: Dover Publ., 1954)
Klein O New Theories in Physics. Conf. Organized in Collab. with the Intern. Union of Physics and the Polish Intellectual Co-operation Committee, Warsaw, May 30 - June 3, 1938 (Paris, 1939)
Ekspong G (Ed.) The Oskar Klein Memorial Lectures Vol. 1. Lectures By C N Yang And S Weinberg With Translated Reprints By O Klein (Singapore: World Scientific, 1991)
Yang C N, Mills R L Phys. Rev. 95 631 (1954); Yang C N, Mills R L Phys. Rev. 96 191 (1954)
Okun L "Introduction to gauge theories" 1983 JINR - CERN School of Physics (Tabor, Czechoslovakia, 5 - 18 June 1983) Vol. 2 (Dubna, 1984) p. 3-81
Jackson J D, Okun L B "Historical roots of gauge invariance" Rev. Mod. Phys. 73 663 (2001)
Fock V "Zur Schrödingershen Wellenmechanik" Z. Phys. 38 242 (1926)
Sonin A S, Frenkel’ V Ya Vsevolod Konstantinovich Frederiks: 1885 - 1944 (Otv. red. B K Vainshtein) (M.: Fizmatlit, 1995)
Frederiks V K "Obshchii printsip otnositel’nosti Einshteina" Usp. Fiz. Nauk 2 162 (1921); Frederiks V K "Obshchii printsip otnositel’nosti Einshteina" Usp. Fiz. Nauk 169 1339 (1999); Frederiks V K "Einstein’s general principle of relativity" Phys. Usp. 42 1235 (1999)
Frederiks V K "Nachala mekhaniki N’yutona i printsip otnositel’nosti" Usp. Fiz. Nauk 7 (2) 75 (1927)
Fock V "On the invariant form of the wave and Motion Equation for a Charged Point-Mass" The Dawning Of Gauge Theory (Princeton Series in Physics, Ed. L O’Raifeataigh) (Princeton, N.J.: Princeton Univercity Press, 1997)