TECHNIQUE OF COMPUTING THE LOW-ENERGY EFFECTIVE LAGRANGIAN N = 1 OF SUPERSYMMETRIC FIELD MODELS
The notion of effective action is central for research of many aspects of quantum field theory models. The exact definition of the effective Lagrangian guarantees the exact solution of the corresponding quantum theory model and in the general case it is not possible. Thereby, the problem of effective action finding is now considered as an independent direction within the framerwork of the quantum theory. Consequently, there is a need to develop superfield methods of constructing effective action and improve the already existing. This paper proposes the method for constructing of the one-loop effective action of N = 1 of supersymmetric field theories which allows to find superfield effective Lagrangian as an expansion in supercovariant derivative background superfields. As an example of the general technique application we calculate the low-energy action of N = 1 supersymmetric Yang-Mills theory.
Keywords: effective action, supersymmetric field theory, Yang-Mills model
References:
1. Itsikson K., Zyuber Zh.-B. Kvantovaya teoriya polya [The quantum theory of a field]. Moscow, Mir Publ., 1984 (in Russian).
2. Buchbinder I. L., Odinntsov S. D., Shapiro I. L. Effective action in quantum gravity. IOP Publisching, Bristol and Philadelphia, 1992.
3. Henneaux M., Teitelboim C. Quantization of gauge systems. Prinston Univ. Press, 1992.
4. Zinn-Justin J. Quantum field theory and critical phenomena. Clarendon Press, Oxford, 1994.
5. Weinberg S. The quantum theory of fields. Vol.2: Modern applications, Cambridge Univ. Press. 1996.
6. Bertlmann R. A. Anomalies in quantum field theory. Clarendon Press, Oxford, 1996.
7. Coleman S., Weinberg E. Radiative corrections as the origin of spontaneous symmetry breaking. Phys. Rev. D, 10 (973), vol. 7, no. 6, pp.1888–1910.
8. Berezin F. A. Vvedenie v algebru i analis s anticommutiruyushchimi ptremennymi [Introduction in algebra and the analysis with anticommuting variables]. Moscow, MGU Publ., 1983. 208 p. (in Russian).
9. Berezin F. A. Metod vtorichnogo kvantovaniya [Method of secondary quantization]. Moscow, Nauka Publ., 1986. 318 p. (in Russian).
10. Buchbinder I. L., Kuzenko S. M., Yarevckaya J. V. Supersymmetric effective potential superfield approach. Nucl. Phys. B, 1994, vol. 411, no.4, pp. 665–692.
11. Buchbinder I. L., Kuzenko S. M., Yarevskaya J. V. Supersimmetrichnyy effectivnyy potentsial: superpolevoy podkhod [Supersymmetric effective potential superfield approach]. Ya. F., 1993, vol. 56, no. 5, pp. 202–216 (in Russian).
12. Gradshteyn I. S., Ryzhik I. M. Tablitsy integralov, summ, ryadov i proizvedeniy [Tables of integrals, the sums, numbers and products]. Moscow, Nauka Publ., 1971 (in Russian).
13. Vvedenie v supergravitatsiyu [Introduction in supergravitation], gl. red., С. Ferrfry, Dz. Teylor. Мoscow, Мir Publ., 1985. 69 p. (in Russian).
14. Buchbinder I. L., Kuzenko S. M. Ideas and Methods of Supersymmetry and Supergravity. IOP Publishing, Bristol and Philadelphia, 1998.
( 441.54 kB ) 
( 433.96 kB )
Issue: 2, 2015
Series of issue: Issue 2
Rubric: INTERDISCIPLINARY STUDIES
Pages: 208 — 212
Downloads: 720