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場の理論ミニマム


場の理論を学ぶにあたって、必要最小限(?)と思われる文献をピックアップ してみました。皆さん頑張って読んでください。


【オリジナル論文】

  1. ゲージ対称性
    1. R. Utiyama, ``Invariant theoretical interpretation of interaction'', Phys. Rev. 101 (1956) 1597-1607
  2. 自発的対称性の破れ
    1. Y. Nambu and G. Jona-Lasinio, ``Dynamical model of elementary particles based on an analogy with superconductivity'', Phys. Rev. 122 (1961) 345-358
    2. J. Goldstone, A. Salam and S. Weinberg, ``Broken symmetries'', Phys. Rev. 127 (1962) 965-970
  3. 量子異常
    1. S. L. Adler, "Axial-Vector Vertex in Spinor Electrodynamics", Phys. Rev. 177, 2426-2438 (1969)
    2. J. S. Bell and R. Jackiw, "A PCAC puzzle: π0→γγ in the σ-model", Nuovo Cimento A, 60, (1969), 47
    3. S. L. Adler and W. A. Bardeen, "Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation", Phys. Rev. 182, 1517-1536 (1969)
    4. J. Wessa and B. Zumino, "Consequences of anomalous ward identities", Physics Letters B, 37, (1971), 95-97
    5. H. Georgi and S.L. Glashow, ``Gauge theories without anomalies'', Phys. Rev. D6 (1972) 429-431
    6. K. Fujikawa, ``Path-integral measure for gauge-invariant fermion theories'', Phys. Rev. Lett. 42 (1979) 1195-1198
  4. 標準模型
    1. S. Weinberg, ``A model of leptons'', Phys. Rev. Lett. 19 (1967) 1264-126
    2. M. Kobayashi and T. Maskawa, ``CP violation in the renormalizable theory of weak interaction'', Prog. Theor. Phys. 49 (1973) 652-657
    3. H. Georgi and S.L. Glashow, ``Unity of all elementary particle forces'', Phys. Rev. Lett. 32 (1974) 438-441
    4. H. Georgi, H.R. Quinn and S. Weinberg, ``Hierarchy of interactions in unified gauge theories'', Phys. Rev. Lett. 33 (1974) 451
    5. R.D. Peccei and H.R. Quinn, ``CP conservation in the presence of instantons'', Phys. Rev. Lett. 38 (1977) 1440
  5. 漸近自由性、閉じ込め、U(1)問題
    1. D.J. Gross and F. Wilczek, ``Asymptotically free gauge theories'', Phys. Rev. D8 (1973) 3633-3652
    2. K.G. Wilson, ``Confinement of quarks'', Phys. Rev. D10 (1974) 2445-2459
    3. A.M. Polyakov, ``Thermal properties of gauge fields and quark liberation'', Phys.Lett. B72 (1978) 477-480
    4. E. Witten, ``Large N chiral dynamics'', Annals Phys. 128 (1980) 363-375
  6. インスタントン、モノポール、トポロジー
    1. A.A. Belavin, A.M. Polyakov, A.S. Schwartz and Yu.S. Tyupkin, ``Pseudoparticle solutions of the Yang-Mills equations'', Phys. Lett. B59 (1975) 85-87
    2. G. 't Hooft, ``Magnetic monopoles in unified gauge theories'', Nucl. Phys. B79 (1974) 276-284
    3. G. 't Hooft, ``Symmetry breaking through Bell-Jackiw anomalies'', Phys. Rev. Lett. 37 (1976) 8-11
    4. E. Witten, ``Global aspects of current algebra'', Nucl. Phys. B223 (1983) 422-432
    5. E. Witten, ``Current algebra, baryons, and quark confinement'', Nucl. Phys. B223 (1983) 433-444
  7. 1/N 展開法
    1. D.J. Gross and A. Neveu, ``Dynamical symmetry breaking in asymtotically free field theories'', Phys. Rev. D10 (1974) 3235-3253
    2. G. 't Hooft, "A Planar Diagram Theory for Strong Interactions", Nucl. Phys. B72, 461, (1974)
    3. E. Bre'zin, C. Itzykson, G. Parisi, and J.B. Zuber, ``Planar diagrams'', Commun. Math. Phys. 59 (1978) 35-51
    4. A. D'Adda, M. Luescher and P. Di Vecchia, ``A 1/N expandable series of non-linear sigma-models with instantons'', Nucl. Phys. B146 (1978) 63-76
  8. 格子場の理論
    1. K.G. Wilson, ``Confinement of quarks'', Phys. Rev. D10 (1974) 2445-2459
    2. M. Creutz, ``Asymptotic-freedom scales'', Phys. Rev. Lett 45 (1980) 313-316
    3. M. Creutz, "Monte Carlo study of quantized SU(2) gauge theory", Phys. Rev. D 21, 2308-2315 (1980)
    4. L.H. Karsten, ``Lattice fermions in euclidean space-time'', Phys. Lett. B104 (1981) 315-319
    5. L.H. Karsten and J. Smith, "Lattice fermions: Species doubling, chiral invariance and the triangle anomaly", Nucl. Phys. B183 (1981) 103
    6. P. H. Ginsparg and K. G. Wilson, "A remnant of chiral symmetry on the lattice", Phys. Rev. D 25, 2649-2657 (1982)
  9. 超対称性
    1. J. Wess and B. Zumino, ``Supergauge transformations in four dimensions'', Nucl. Phys. B70 (1974) 39-50
    2. E. Witten, ``Constraints on supersymmetry breaking'', Nucl. Phys. B202 (1982) 253-316
    3. N. Seiberg and E. Witten, ``Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory'', Nucl. Phys. B426 (1994) 19
  10. 2次元場の理論
      http://www.sciencedirect.com/science/article/pii/0550321394901244
    1. A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, ``Infinite conformal symmetry in two-dimensional quantum field theory'', Nucl. Phys. B241 (1984) 333-380
  11. 宇宙論
    1. A.H. Guth, ``Inflationary universe: a possible solution to the horizon and flatness problems'', Phys. Rev. D23 (1981) 347-356

【総合報告】

  1. ゲージ場の理論
    1. E.S. Abers and B.W. Lee, ``Gauge theories'', Phys. Rept. 9 (1973) 1-141
  2. くり込み群
    1. K.G. Wilson and J. Kogut, ``The renormalization group and the epsilon expansion'', Phys. Rept. 12 (1974) 75-200
    2. D.J. Gross, ``Applications of the renormalization group to high-energy physics'', 1975 Les Houches summer school, `` Methods in field thory'', eds. R. Balian and J. Zinn-Justin (North Holland, 1976)
    3. D.J. Wallace and R.K.P. Zia, ``The renormalization group approach to scaling in physics'', Rep. Prog. Phys. 41 (1978) 1-85
  3. 格子場の理論
    1. K.G. Wilson, ``Quarks and strings on a lattice'', 1975 Erice lecture notes, `` New phenomena in subnuclear physics'', ed. A. Zichichi, Plenum Press, (1977)
    2. J.B. Kogut, ``An introduction to lattice gauge theory and spin systems'', Rev. Mod. Phys. 51 (1979) 659-713
  4. 超対称性
    1. J. Wess and J. Bagger, ``Supersymmetry and supergravity'', (Second edition, Princeton University Press, 1992)
  5. ストリング理論
    1. J. Scherk, ``An introduction to the theory of dual models and strings'', Rev. Mod. Phys. 47 (1975) 123-164

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