PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Gauge conditions in the canonical Hamiltonian formulation of the light-front quantum electrodynamics

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We report here the status of different gauge conditions in the canonical formulation of quantum electrodynamics on light-front surfaces. We start with the massive vector fields as pedagogical models where all basic concepts and possible problems manifestrly appear. Several gauge choices are considered for both the infinite and the finite volume formulation of massless gauge field electrodynamics. We obtain the perturbative Feynman rules in the first approach and the quantum Hamiltonian for all sectors in the second approach. Different space-time dimensions are discussed in all models where they crucially change the physical meaning. Generally, fermions are considered as the charged matter fields but also one simple 1 + 1 dimensional model is discussed for scalar fields. Finally the perspectives for further research projects are discussed.
Rocznik
Tom
Strony
1--80
Opis fizyczny
Bibliogr. 46 poz.
Twórcy
  • Instytut Podstawowych Problemów Techniki PAN 00-049 Warszawa, ul. Świętokrzyska 11/21
Bibliografia
  • [1] P.A.M.Dirac, Rev.Mod.Phys. 21 (1949) 392.
  • [2] J.M.Cornwall and R.Jackiw, Phys.Rev. D 4 (1971) 367.
  • [3] D.A.Dicus, R.Jackiw and V.L.Teplitz, Phys.Rev. D 4 (1971) 1733.
  • [4] S.Weinberg, Phys.Rev. 150 (1966) 1313.
  • [5] L.Susskind, Phys.Rev. 165 (1968) 1535, 1547; L.Susskind and G.Frye, ibid (1968) 1553.
  • [6] K.Bardakci and M.B.Halpern, Phys.Rev. 176 (1968) 1686.
  • [7] S.Chang and S.Ma, Phys.Rev. 180 (1969) 1506.
  • [8] S.D.Drell, D.Levy and T.M.Yan, Phys. Rev. 187 (1969) 2159; Phys.rev. D 1 (1970) 1035, 1617.
  • [9] J.B.Kogut, D.E.Soper, Phys.Rev. D 1 (1970) 2901; J.D.Bjorken, J.B.Kogut and D.E.Soper, ibid D 3 (1971) 1382.
  • [10] S.-J.Chang, R.G.Root, T.-M.Yan, Phys.Rev. D 7 (1973) 1333; S.-J.Chang, T.-M.Yan. Phys.Rev D 7 (1973) 1147.
  • [11] T.-M. Yan, Phys.Rev D 7 (1973) 1760, 1780.
  • [12] S.J.Brodsky, R.Roskies and R.Suaya, Phys.Rev. D 8 (1973 ) 4574.
  • [13] H.Leutwyler, J.R.Klauder and L.Streit, Nuo.Cim. LXVI A (1970) No. 3.
  • [14] R.A.Neville and F.Rohrlich, Phys.Rev. D 3 (1971) 1692.
  • [15] D.E.Soper, Phys.Rev. D 4 (1971) 1620.
  • [16] E.Tomboulis, Phys.Rev. D 8 (1973) 2736.
  • [17] H.Leutwyler, Nucl.Phys. B 76 (1974) 413.
  • [18] A.Casher, Phys.Rev. D 14 (1976) 452.
  • [19] S.J.Brodsky and G.P.Lepage, Phys.Rev. D 22 (1980) 2157.
  • [20] J.M.Namysłowski, Prog.Part.Nucl.Phys. 14 (1984) 49.
  • [21] H.C.Pauli, S.J.Brodsky, Phys.Rev. D32 (1985) 1993, 2001.
  • [22] St.D.Glazek, K.G.Wilson, Phys.Rev. D 48 (1993) 5863: ibid 49 (1994) 4214; K.G.Wilson, T.S.Walhout, A.Harindranath, W.-M.Zhang, R.J.Perry and St.D.Glazek, Phys.Rev. D 49 (1994) 6720.
  • [23] St.D.Glazek, Acta Phys.Polon. 24 B (1993) 1315.
  • [24] A.Bassetto. M.Dalbosco, I.Lazzizzera and R.S
  • [25] S.Mandelstam, Nucl.Phys. B 213 (1983) 149; G. Leibbrandt, Phys.Rev. D 29 (1984) 1699.
  • [26] A.Bassetto, in Physical and Nonstandard Gauges, eds. Gaigg et al (Springer, Heidelberg, 1990): A.Bassetto, I.A.Korchemskaya, G.P.Korchemsky and G.Nardelli, Nucl.Phys. B 408 (1993) 62; A. Bassetto and G.Nardelli, Int.J.Mod.Phys. 12 A (1997) 1075.
  • [27] P.A.Dirac, Lectures on Quantum Mechanics, (Academic Press, New York. 1964).
  • [28] L.Faddeev and R.Jackiw, Phys.Rev.Lett. 60 (1988) 1692; R.Jackiw, (Constrained) Quantization Without Tears hep-th/9306074 (1993).
  • [29] J.Schwinger, Phys.Rev. 82 (1951) 914; ibid 91 (1953) 713, 728.
  • [30] D.J.Gross and S.Treiman, Phys.Rev. D 1 (1971) 1059.
  • [31] J.Schwinger, Proc.Natl.Acad.Sci. U.S. 37 (1951) 452; J.L.Anderson, Phys.Rev. 94 (1954) 703; I.Gerstein, R.Jackiw, B.W.Lee and S.Weinberg, Phys.Rev. D 3 (1971) 2486.
  • [32] E.S.Abers and B.W.Lee, Phys.Rep C 9 (1973) 1
  • [33] P.V. Landshoff, Phys.Lett B 227 (1987) 427; P.V.Landshoff and J.C.Taylor, Phys. Lett. B 231, (1989), 129; A. Burnel, Phys.Rev. D 40 (1989) 1221.
  • [34] C.R.Hagen and J.H.Yee, Phys. Rev. D 16 (1976) 1206.
  • [35] B.Lautrup, Mat.Fys.Medd.Dan.Vid.Selsk. 35 (1967) No. 11.
  • [36] N.Nakanishi, Prog.Theor.Phys. Suppl. 51 (1972) 1.
  • [37] G.McCartor and D.G.Robertson, Z.Phys. C 62 (1994) 349.
  • [38] R.Soldati, in Theory of Hadrons and Light-Front QCD ed. St.D.Glazek, (World Scientific, Singapore, 1995).
  • [39] C.Itzykson and J. B.Zuber, Quantum Field Theory (McGraw-Hill Int. Ed., Singapore, 1985).
  • [40] J.Przeszowski, H.W.L.Naus and A.C.Kalloniatis, Phys.Rev. D 54 (1996) 5135.
  • [41] A.C.Kalloniatis and H.C.Pauli, Z.Phys. C 63 (1994) 161.
  • [42] For example, J.L.Friedman and N.J.Papastamatiou, Nucl.Phys. B 219 (1983) 125; J.Goldstone and R.Jackiw, Phys.Lett. B 74 (1978) 81; V.Baluni and B.Grossman. Phys.Lett. B 78 (1978) 226; Yu.A.Simonov, Sov.J.Nucl.Phys. 41 (1985) 835, 1014.
  • [43] F.Lenz, H.W.L.Naus, K.Ohta and M.Thies, Ann.Phys.(N.Y-) 233 (1994) 17, 51.
  • [44] A.C.Tang, S.J.Brodsky and H.C.Pauli, Phys.Rev. D 44 (1991) 1842; A.C.Kalloniatis and D.G.Robertson, Phys.Rev. D 50 (1994) 5262.
  • [45] J.D.Bjorken and S.D.Drell. Relativistic Quantum Fields (McGraw-Hill, New York, 1965).
  • [46] H.Balasin, W.Kummer, O.Piquet and M.Schweda, Phys.Lett. B 287 (1992) 138.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB4-0001-0048
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.