Regularizacija u teorijama kvantnog polja
Sažetak
Uvod/cilj: Razmatraju se osnovne tehnike šema regularizacije kao i njihova valjanost za teorije kalibracionih polja.
Metode: Primenjuju se šeme dimenzionalne regularizacije, Pauli-Vilarsova regularizacija kao i regularizacije rešetke.
Rezultati: Koleman-Mandula teorema pokazuje koje kalibracione teorije se mogu renormalizovati.
Zaključak: Neke teorije kalibracionog polja se mogu renormalizovati, specifično standardni model.
Reference
Bardeen, W.A., Buras, A.J., Duke, D.W. & Muta, T. 1978. Deep-inelastic scat- tering beyond the leading order in asymptotically free gauge theories. Physical Review D, 18(11), pp.3998-4017. Available at: https://doi.org/10.1103/PhysRevD.18.3998
Bollini, C.C. & Giambiagi, J.J. 1972. Dimensional renorinalization : The number of dimensions as a regularizing parameter. Il Nuovo Cimento B (1971-1996), 12(1), pp.20–26. Available at: https://doi.org/10.1007/BF02895558
Coleman, S. & Mandula, J. 1967. All Possible Symmetries of the S Matrix. Physical Review, 159(5), pp.1251-1256. Available at: https://doi.org/10.1103/PhysRev.159.1251
Fabiano, N. 2021a. Quantum electrodynamics divergencies. Vojnotehnički glasnik/Military Technical Courier, 69(3), pp.656-675. Available at: https://doi.org/10.5937/vojtehg69-30366
Fabiano, N. 2021b. Corrections to propagators of quantum electrodynamics. Vojnotehnički glasnik/Military Technical Courier, 69(4), pp.930-940. Available at: https://doi.org/10.5937/vojtehg69-30604
Fermi, E. 1934a. Tentativo di una teoria dei raggi β. Il Nuovo Cimento (1924- 1942), 11, art.number:1 (in Italian). Available at: https://doi.org/10.1007/BF02959820
Fermi, E. 1934b. Versuch einer Theorie der β-Strahlen. I. Zeitschrift für Physik, 88(3-4), pp.161-177 (in German). Available at: https://doi.org/10.1007/BF01351864
Glashow, S. 1959. The renormalizability of vector meson interactions. Nuclear Physics, 10(February–May), pp.107-117. Available at: https://doi.org/10.1016/0029-5582(59)90196-8
Haag, R.J., Łopuszański, J.T. & Sohnius M. 1975. All possible generators of supersymmetries of the S-matrix. Nuclear Physics B, 88(2), pp.257-274. Available at: https://doi.org/10.1016/0550-3213(75)90279-5
’t Hooft, G. 1973. Dimensional regularization and the renormalization group. Nuclear Physics B, 61, pp.455-468. Available at: https://doi.org/10.1016/0550-3213(73)90376-3
’t ’Hooft, G. & Veltman, M. 1972. Regularization and renormalization of gauge fields. Nuclear Physics B, 44(1), pp.189–213. Available at: https://doi.org/10.1016/0550-3213(72)90279-9
Kadanoff, L.P. 1966. Scaling laws for Ising models near Tc. Physics Physique Fizika, 2(6), pp.263-272. Available at: https://doi.org/10.1103/PhysicsPhysiqueFizika.2.263
Pauli, W. & Villars F. 1949. On the Invariant Regularization in Relativistic Quantum Theory. Reviews of Modern Physics, 21(3), pp.434-444. Available at: https://doi.org/10.1103/RevModPhys.21.434
Salam, A. & Ward, J.C. 1959. Weak and electromagnetic interactions. Il Nuovo Cimento (1955-1965), 11(4), pp.568-577. Available at: https://doi.org/10.1007/BF02726525
Takahashi, Y. 1957. On the generalized ward identity. Il Nuovo Cimento (1955- 1965), 6(2), pp.371–375. Available at: https://doi.org/10.1007/BF02832514
Ward, J.C. 1950. An Identity in Quantum Electrodynamics. Physical Review, 78(2), p.182. Available at: https://doi.org/10.1103/PhysRev.78.182
Wick, G.C. 1954. Properties of Bethe-Salpeter Wave Functions. Physical Re- view, 96(4), pp.1124–1134. Available at: https://doi.org/10.1103/PhysRev.96.1124
Weinberg, S. 1967. A Model of Leptons. Physical Review Letters, 19(21), pp.1264-1266. Available at: https://doi.org/10.1103/PhysRevLett.19.1264
Weinberg, S. 1973. New Approach to the Renormalization Group. Physical Re- view D, 8(10), pp.3497-3509. Available at: https://doi.org/10.1103/PhysRevD.8.3497
Wigner, E. 1939. On unitary representations of the inhomogeneous Lorentz group. Annals of Mathematics, 40(1), pp.149–204. Available at: https://doi.org/10.2307/1968551
Wilson, K.G. 1975. The renormalization group: Critical phenomena and the Kondo problem. Reviews of Modern Physics, 47(4), pp.773–840. Available at: https://doi.org/10.1103/revmodphys.47.773
Yukawa, H. 1935. On the interaction of elementary particles. Proceedings of the Physico-Mathematical Society of Japan. 3rd Series, 17, pp.48-75. Available at: https://doi.org/10.11429/ppmsj1919.17.0_48
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