Lattice SU(2) theory projected on scalar particles

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

Lattice measurements provide a unique possibility to directly study the anatomy of vacuum fluctuations, that is, their action and entropy. In this review, we discuss properties of vacuum fluctuations that are naturally called magnetic monopoles, or scalar particles. Magnetic monopoles are defined on the lattice as closed trajectories. One of the basic observations is that the length of these trajectories is measured in physical units (fermi) and does not depend on the lattice spacing a. Their thickness, on the other hand, determined in terms of the distribution of the non-Abelian action, is of order of the resolution a. Moreover, these infinitely thin — within presently available resolution — trajectories are unified into infinitely thin surfaces.

PACS: 11.15.Ha, 11.15.Tk, 12.38.Aw (all)
DOI: 10.1070/PU2004v047n01ABEH001606
URL: https://ufn.ru/en/articles/2004/1/c/
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2004PhyU...47...37Z
Citation: Zakharov V I "Lattice SU(2) theory projected on scalar particles" Phys. Usp. 47 37–44 (2004)

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Оригинал: Захаров В И «Решеточная SU(2)-теория в проекции на скалярные частицы» УФН 174 39–47 (2004); DOI: 10.3367/UFNr.0174.200401c.0039

References (14) Cited by (5) Similar articles (20) ↓

V.G. Bornyakov, M.I. Polikarpov et al “Color confinement and hadron structure in lattice chromodynamics” Phys. Usp. 47 17–35 (2004)
Yu.M. Makeenko “The Monte Carlo method in lattice gauge theories” Sov. Phys. Usp. 27 401–430 (1984)
M.I. Polikarpov “Fractals, topological defects, and confinement in lattice gauge theories” Phys. Usp. 38 591–607 (1995)
D.S. Kuz’menko, Yu.A. Simonov, V.I. Shevchenko “Vacuum, confinement, and QCD strings in the vacuum correlator method” Phys. Usp. 47 1–15 (2004)
Yu.S. Kalashnikova, A.V. Nefed’ev, J.E.F.T. Ribeiro “Chiral symmetry and the properties of hadrons in the Generalized Nambu—Jona-Lasinio model” Phys. Usp. 60 667–693 (2017)
M.A. Andreichikov, B.O. Kerbikov, Yu.A. Simonov “Hadron physics in magnetic fields” Phys. Usp. 62 319–339 (2019)
A.A. Migdal “Stochastic quantization of field theory” Sov. Phys. Usp. 29 389–411 (1986)
I.V. Andreev “Chromodynamics as a theory of the strong interaction” Sov. Phys. Usp. 29 971–979 (1986)
S.N. Vergeles, N.N. Nikolaev et al “General relativity effects in precision spin experimental tests of fundamental symmetries” Phys. Usp. 66 109–147 (2023)
V.A. Novikov “Nonperturbative QCD and supersymmetric QCD” Phys. Usp. 47 109–116 (2004)
V.V. Kiselev, A.K. Likhoded “Baryons with two heavy quarks” Phys. Usp. 45 455–506 (2002)
Yu.S. Kalashnikova, A.V. Nefed’ev “Two-dimensional QCD in the Coulomb gauge” Phys. Usp. 45 347–368 (2002)
Yu.A. Simonov “The confinement” Phys. Usp. 39 313–336 (1996)
I.Yu. Kobzarev, B.V. Martem’yanov, M.G. Shchepkin “Orbitally excited hadrons” Sov. Phys. Usp. 35 (4) 257–275 (1992)
M.A. Shifman “Anomalies and low-energy theorems of quantum chromodynamics” Sov. Phys. Usp. 32 289–309 (1989)
M.B. Voloshin, Yu.M. Zaitsev “Physics of Υ resonances: ten years later” Sov. Phys. Usp. 30 553–574 (1987)
A.I. Vainshtein, V.I. Zakharov et al “ABC of instantons” Sov. Phys. Usp. 25 195–215 (1982)
A.I. Vainshtein, V.I. Zakharov, M.A. Shifman “Higgs particles” Sov. Phys. Usp. 23 429–449 (1980)
A.I. Vainshtein, M.B. Voloshin et al “Charmonium and quantum chromodynamics” Sov. Phys. Usp. 20 796–818 (1977)
V.I. Zakharov, B.L. Ioffe, L.B. Okun “New elementary particles” Sov. Phys. Usp. 18 757–803 (1975)

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