Confinement in the two-dimensional yukawa theory with the Higgs mass generation mechanism
https://doi.org/10.29235/1561-8323-2020-64-3-282-286
Abstract
We considered the two-dimensional theoretical field model of interaction of scalar and fermion fields with the Higgs potential. Contribution of instanton effects to total fermion propagator is calculated. Mass correction to the propagator in the presence of an instanton field is determined. The obtained results can be interpreted as confinement.
About the Authors
D. A. Shohonov
Institute of Applied Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Shohonov Denis A. – Junior researcher
16, Akademicheskaya Str., 220072, Minsk
R. G. Shulyakovsky
Institute of Applied Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Shulyakovsky Roman G. – Ph. D. (Physics and Mathematics), Assistant Professor, Director
16, Akademicheskaya Str., 220072, Minsk
References
1. Sokolov A. A., Ternov I. M., Zhukovsky V. Ch., Borisov A. V. Gauge fields. Moscow, 1986. 260 p. (in Russian).
2. Polyakov A. Compact gauge fields and the infared catastrophe. Physics Letter B., 1975, vol. 59, no. 1, pp. 82–84. https://doi.org/10.1016/0370-2693(75)90162-8
3. ‘t Hooft G. Computation of the quantum effects due to a four-dimensional pseudoparticle. Physics Review D., 1976, vol. 14, no. 12, pp. 3432–3450. https://doi.org/10.1103/physrevd.14.3432
4. Simonov y. A. The confinement. Uspekhi Fizicheskih Nauk, 1996, vol. 166, no. 4, pp. 337–362. https://doi.org/10.3367/ufnr.0166.199604a.0337
5. Adloff C. [et al.], The H1 Collaboration. Search for QCD instanton-induced processes in deep-inelastic scattering at HERA. European Physical Journal C., 2002, vol. 25, no. 4, pp. 495–509. https://doi.org/10.1140/epjc/s2002-01039-8
6. Dyakonov D. I., Petrov V. yu. A theory of light quarks in the instanton vacuum. Nuclear Physics B., 1986, vol. 272, no. 2, pp. 457–489. https://doi.org/10.1016/0550-3213(86)90011-8
7. Shulyakovskii R. Analytic instanton solutions in two-dimensional field models. Physisc of Particles and Nuclei Letters, 2008, vol. 147, no. 5, pp. 417–419. https://doi.org/10.1134/s1547477108050014
8. Bogoliubov N. N., Shirkov D. V. Introduction to the theory of quantized fields. Moscow, 1984. 600 p. (in Russian).
Review
Views: 709
Email this article 