COMPONENT LAGRANGE FUNCTION MODIFICATION OF GENERAL DEFORMED CHIRAL AND ANTICHIRAL MODEL
For visual interpretation of deformed non anticommutative N = 1/2 supersymmetric theories as a standard field models and distinctive features research of their dynamics it is necessary to output component Lagrange function formula of this theory effect. The definition of component structure of non anticommutative theory is quite an unconventional technical problem because of N = 1/2 non anticommutative deformation the given superspace and therefore requires special analysis. Let us study Lagrange function form of non anticommutative general superfield model of chiral and antichiral superfields on the base of deformed N = 1/2 non anticommutative superspace. The model is formulated in terms of undirected Kahler’s potential and chiral and antichiral superpotentials which were decomposed in series according to superfields with allowance for imputed deformation. They assay the analysis of component structure of deformed Lagrange function of the given model and find quite a simple and compact form fore register Lagrange function theory.
Keywords: supersymmetry, component action, chiral and antichiral model
References:
1. Douglass M. R., Nekrasov N. A. Noncommutative Field Theory. Reviews of Modern Physics, 2002, vol. 73, pp. 0977–1029.
2. Szabo R. J. Quantum Field Theory on Nonocommutative Spaces. Physical Reports, 2003, vol. 378, pp. 201–299.
3. Konechny A., Schwarz A. Introduction to M (atrix) theory and noncommutative geometry. Physical Reports, 2002, vol. 360, pp. 353–465.
4. Seiberg N. Nonocommutative Superspace N=1/2 Supersymmetry, Field Theory and String Theory. Journal of High Energy, Physics, 2003, vol. 0306, pp. 010–029.
5. Weyl H. Quantum mechanics and group theory. Zeitschrift fur Physik, 1927, vol. 46, pp. 001–262.
6. Wigner E. P. Quantum corrections for thermodynamics equilibrium. Physics Review, 1932, vol. 40, pp. 749–756.
7. Moyal J. E. Quantum mechanics as a statistical theory. Proceedings of the Cambridge Philosophical Society, 1949, vol. 45, pp. 099–124.
8. Azorkina O. D. Superpolevye metody issledovaniya deformirovannyh neantikommutativnyh modelej [Superfield methods of research of the deformed non-anticommutative models]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2012, vol. 7 (122), pp. 40–48 (in Russian).
9. Buchbinder I. L., Kuzenko S. M. Ideas and Methods of Supersymmetry and Supergravity. IOP Publishing, Bristol and Philadelphia, 1998. 665 p.
10. Azorkina O. D. Klassicheskie i kvantovye aspekty obshchey modeli kiral’nogo-antikiral’nogo superpoley na deformirovannom superprostranstve [Classical and Quantum Aspects of Generic Chiral-Antichiral Superfield Model on Deformed Superspace]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin. 2006, vol. 6 (57), pp. 39–45 (in Russian).
11. Zumino B. Supersymmetry and Kahler manifold. Physics Letter B., 1979, vol. 87, pp. 203–206.
12. Alvarez-Gaume L., Vazquer-Mozo M. A. On nonanticommutative N=2 sigma-model in two dimensions. Journal of High Energy, Physics, 2005. vol. 0504, pp. 007–036.
13. Hatanaka T., Ketov S., Kobayashi Y., Sasaki S. Non-anticommutative Deformation of Effective Potentials in Supersymmetric Gauge Theories. Nuclear Physical B. 2055. vol. 716. pp. 088–104.
( 441.03 kB ) 
( 433.8 kB )
Issue: 2, 2015
Series of issue: Issue 2
Rubric: INTERDISCIPLINARY STUDIES
Pages: 232 — 235
Downloads: 1159