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Mixing-induced spontaneous supersymmetry breaking. (English) Zbl 1252.81096
Summary: It is conjectured that flavor mixing furnishes a universal mechanism for the spontaneous breaking of supersymmetry. The conjecture is proved explicitly for the mixing of two chiral N=1 supermultiplets and arguments for its general validity are given. That is an instance of the O’Raifeartaigh Lagrangian for which there is no tree-level nor perturbative breaking. Nonetheless, the dynamical breaking occurs due to the vacuum condensate, a mixing-induced nonperturbative effect that lifts the zero point energy.

MSC:
81T10 Model quantum field theories
81T60 Supersymmetric field theories in quantum mechanics
81R40 Symmetry breaking in quantum theory
37A25 Ergodicity, mixing, rates of mixing
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References:
[1] Fayet, P.; Iliopoulos, J., Phys. lett. B, 51, 461, (1974)
[2] OʼRaifeartaigh, L., Nucl. phys. B, 96, 331, (1975)
[3] Witten, E., Nucl. phys. B, 188, 513, (1981)
[4] Shadmi, Y.; Shirman, Y., Rev. mod. phys., 72, 25, (2000)
[5] Cabibbo, N., Phys. rev. lett., 10, 531, (1963)
[6] Kobayashi, M.; Maskawa, T., Prog. theor. phys., 49, 652, (1973)
[7] Bilenky, S.M.; Pontecorvo, B., Phys. rept., 41, 225, (1978)
[8] Wess, J.; Zumino, B., Nucl. phys. B, 70, 39, (1974)
[9] Wess, J.; Zumino, B., Phys. lett. B, 49, 52, (1974)
[10] Blasone, M.; Vitiello, G.; Blasone, M.; Vitiello, G., Annals phys., Annals phys., 249, 363, (1996), (Erratum)
[11] Alfinito, E.; Blasone, M.; Iorio, A.; Vitiello, G., Phys. lett. B, 362, 91, (1995)
[12] Blasone, M.; Capolupo, A.; Romei, O.; Vitiello, G., Phys. rev. D, 63, 125015, (2001)
[13] Ji, C.R.; Mishchenko, Y., Phys. rev. D, 65, 096015, (2002)
[14] Blasone, M.; Capolupo, A.; Ji, C.R.; Vitiello, G., Int. J. mod. phys. A, 25, 4179, (2010)
[15] Iorio, A., Supersymmetric Noether currents and Seiberg-Witten theory, (2010), Lambert Acad. Publ. Saarbrucken · Zbl 1063.81088
[16] Iorio, A.; OʼRaifeartaigh, L.; Wolf, S., Annals phys., 290, 156, (2001)
[17] A. Capolupo, PhD thesis, arXiv:hep-th/0408228.
[18] Blasone, M.; Capolupo, A.; Capozziello, S.; Carloni, S.; Vitiello, G., Phys. lett. A, 323, 182, (2004)
[19] Das, A.K., Finite temperature field theory, (1997), World Scientific Singapore
[20] Blasone, M.; Di Mauro, M.; Vitiello, G., Phys. lett. B, 697, 238, (2011)
[21] Capolupo, A.; Capozziello, S.; Vitiello, G., Phys. lett. A, 363, 53, (2007)
[22] Capolupo, A.; Capozziello, S.; Vitiello, G., Phys. lett. A, 373, 601, (2009)
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