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Auyang, S. Y., 1995, How is quantum field theory Possible?, Oxford,New York: Oxford University Press.

Blum, W., D\"urr, H.P., and Rechenberg, H., eds., 1985, Werner Heisenberg: Collected works, The Philosophical Background of Modern Physics, M\"unchen: Piper.

Bogoliubov, N. N., Logunov, A. A., and Todorov, I. T., 1975, Introduction to Axiomatic Quantum Field Theory, Reading, MA: Benjamin.

Born, M., Heisenberg, W., and Jordan, P., 1926, Z\"ur Quantenmechanik II, Zeitschr. fur Physik 35, 557.

Brading, K. and Castellani, E., eds., 2003, Symmetries in Physics: Philosophical reflections, Cambridge: Cambridge University Press.

Bratteli, O. and Robinson, D. W., 1979, operator algebras and quantum statistical mechanics 1: C* and W*-algebras, Symmetry groups, Decomposition of States, New York,Heidelberg,Berlin: Springer

Brown, H. R. and Harr\'e, R., eds., 1988, Philosophical Foundations of Quantum Field Theory, Oxford: Clarendon Press.

Brown, L. M., ed., 1993, Renormalization: from Lorentz to Landau (and Beyond), Berlin-New York: Springer.

Buchholz, D., 1994, "On the manifestations of particles," in R. N. Sen and A. Gersten, eds., mathematical physics Towards the 21st Century, Beer--Sheva: Ben--Gurion University Press.

Buchholz, D., 1998, "Current trends in axiomatic qantum field theory," in P.

Breitenlohner and D. Maison, eds, Quantum Field Theory. Proceedings of the Ringberg Workshop Held at Tegernsee, Germany, 21--24 June 1998 On the Occasion of Wolfhart Zimmermann's 70th Birthday, Lecture Notes in Physics, Vol. 558, pp. 43--64, Berlin,Heidelberg: Springer.

Busch, P., 1999, Unsharp localization and causality in relativistic quantum theory, Journal of Physics A: Mathematics General, 32: 6535.

Butterfield, J. and Pagonis, C., eds., 1999, From Physics to Philosophy, Cambridge: Cambridge University Press.

Callender, C. and Huggett, N., eds., 2001, Physics Meets Philosophy at the Planck Scale, Cambridge: Cambridge University Press.

Cao, T. Y., 1997a, Conceptual Developments of 20th Century field Theories, Cambridge: Cambridge University Press.

Cao, T. Y., 1997b, "Introduction: Conceptual issues in QFT," in Cao 1997a, pp. 1--27.

Cao, T. Y., ed., 1999, Conceptual Foundations of Quantum Field Theories, Cambridge: Cambridge University Press.

Cao, T. Y., and Schweber, S. S., 1993, "The conceptual foundations and the philosophical aspects of renormalization theory," Synthese, 97: 33--108.

Castellani, E., 2002, Reductionism, emergence, and effective field theories, Studies in History and Philosophy of Modern Physics , 33: 251--267.

Clifton, R., ed., 1996, Perspectives on Quantum Reality: Non--Relativistic, Relativistic, and Field--Theoretic, The University of Western Ontario Series in Philosophy of Science, Dordrecht-Boston-London: Kluwer Academic Publishers.

Clifton, R. and Halvorson, H., 2001, Entanglement and open systems in Algebraic Quantum Field Theory, Studies in History and Philosophy of Modern Physics , 32:1--31; reprinted in Butterfield and Halvorson 2004.

Clifton, R. and Halvorson, H., 2002, No place for particles in relativistic quantum theories? Philosophy of Science , 69: 1--28; reprinted in Butterfield and Halvorson 2004 and in Kuhlmann et al. 2002.

Darrigol, O., 1986, The origin of quantized matter waves, Historical Studies in the Physical and Biological Sciences, 16: 197--253.

Davies, P., ed., 1989, The New Physics, Cambridge: Cambridge University Press. Dieks, D., 2002, Events and covariance in the interpretation of quantum field theory, in Kuhlmann et al. 2002, pp. 215--234.

Dirac, P. A. M., 1927, The quantum theory of emission and absorption of radiation, Proceedings of the Royal Society of London, A , 114: 243--256.

Faye, J., Scheffler, U., and Urchs, M., eds., 2000, Events, Facts, and Things, volume 72 of the series Poznan Studies in the Philosophy of the Sciences and Humanities, Amsterdam: Rodopi.

Fleming, G. N. and Butterfield, J., 1999, Strange positions, in Butterfield and Pagonis 1999, pp. 108--165.

Georgi, H., 1989, Effective quantum field theories, in Davies 1989, pp. 446--457.

Greene, B., 1999, The Elegant Universe. Superstrings, Hidden Dimensions and the Quest for the Ultimate Theory, New York: W. W. Norton and Company.

Haag, R., 1996, local quantum physics: Fields, Particles, Algebras, 2nd edition, Berlin,Heidelberg,New York: Springer.

Haag, R. and Kastler, D., 1964, An algebraic approach to quantum field theory,Journal of Mathematical Physics , 5: 848--861.

Hartmann, S., 2001, Effective field theories, reductionism, and explanation, Studies in History and Philosophy of Modern Physics, 32: 267--304.

H\"attich, F., 2004, Quantum Processes -- A Whiteheadian Interpretation of Quantum Field Theory, M\"unster: agenda Verlag.

Healey, R., 2001, On the reality of gauge potentials, Philosophy of Science, 68/4: 432--455.

Heisenberg, W., 1958, Physics and Philosophy. The Revolution in Modern Science, Introduction by F. S. C. Northrop, Epilogue by Ruth Nanda Anshen, New York: Harper and Row.

Heisenberg, W. and Pauli, W., 1929, Zur Quantendynamik der Wellenfelder, Zeitschrift f\"ur Physik , 56: 1--61.

Hoddeson, L., Brown, L., Riordan, M., and Dresden, M., eds., 1997, The Rise of the Standard Model: A History of particle physics from 1964 to 1979, Cambridge: Cambridge University Press.

Horuzhy, S. S., 1990, Introduction to Algebraic Quantum Field Theory, 1st edition, Dordrecht,Boston,London: Kluwer Academic Publishers.

Kaku, M., 1999, Introduction to Superstrings and M--Theory, New York: Springer

Kastler, D., ed., 1990, The Algebraic Theory of Superselection Sectors: Introduction and Recent Results, Singapore,London,Hackensack, NJ: World Scientific Publishing Company.

Kuhlmann, M., 2000, Processes as objects of quantum field theory, in Faye et al. 2000, pp. 365--388.

Kuhlmann, M., 2002, Analytical ontologists in action: A comment on Seibt and Simons, in Kuhlmann et al. 2002, pp. 99--109.

Kuhlmann, M., Lyre, H., and Wayne, A., eds., 2002, Ontological Aspects of Quantum Field Theory,. Singapore,London,Hackensack, NJ: World Scientific Publishing Company.

Ladyman, J., 1998, What is structural realism?, Studies in History and Philosophy of Science , 29: 409--424.

Landsman, N. P., 1996, Local quantum physics, Studies in History and Philosophy of Modern Physics, 27: 511--525.

Lyre, H., 2004a, Holism and structuralism in U(1) gauge theory, Studies in History and Philosophy of Modern Physics, 35/4: 643--670.

Lyre, H., 2004b, Lokale Symmetrien und Wirklichkeit. Eine naturphilosophische Studie \"uber Eichtheorien und Strukturenrealismus, Paderborn: mentis Verlag.

Malament, D., 1996, In defense of dogma: Why there cannot be a relativistic quantum mechanics of (localizable) particles, in Clifton 1996, pp. 1--10.

Martin, C. A., 2002, Gauge principles, gauge arguments and the logic of nature, Philosophy of Science, 69/3: 221--234.

Newton, T. D. and Wigner, E. P., 1949, Localized states for elementary particles, Reviews of Modern Physics , 21(3): 400--406.

Peskin, M. E. and Schroeder, D. V., 1995, Introduction to Quantum Field Theory, Cambridge, MA: Perseus Books.

Polchinski, J., 2000, string theory, 2 volumes, Cambridge: Cambridge University Press.

Redei, M. and Summers, S. J., 2002, Local primitive causality and the common cause principle in quantum field theory, Foundations of Physics, 32: 335--355.

Redhead, M. L. G., 1975, Symmetry in intertheory relations, Synthese, 32: 77--112.

Redhead, M. L. G., 1980, Some philosophical aspects of particle physics, Studies in History and Philosophy of Science, 11: 279--304.

Redhead, M. L. G., 1983, Quantum field theory for philosophers, in Asquith, P. D. and Nickles, T., eds., 1983, Proceedings of the Biennial Meeting of the Philosophy of Science Association: PSA 1982, East Lansing, MI: Philosophy of Science Association, vol. 2, pp. 57--99.

Redhead, M. L. G., 1988, A philosopher looks at quantum field theory, in Brown and Harr\'e 1988, pp. 9--23.

Redhead, M. L. G., 1995a, More ado about nothing, Foundations of Physics, 25: 123--137. Redhead, M. L. G., 1995b, The vacuum in relativistic quantum field theory, in Hull et al. 1994 (vol. 2), pp. 88--89.

Redhead, M. L. G., 2002a, The interpretation of gauge symmetry, in Kuhlmann et al. 2002, pp. 281--301.

Redhead, M. L. G., 2002b, Quantum field theory and the philosopher, in Cao 1999, pp 34--40.

Redhead, M. L. G. and Teller, P., 1991, Particles, particle labels, and quanta: the toll of unacknowledged metaphysics, Foundations of Physics, 21: 43---62.

Redhead, M. L. G. and Wagner, F., 1998, Unified treatment of EPR and Bell arguments in Algebraic Quantum Field Theory, Foundations of Physics Letters, 11: 111--125.

Reeh, H. and Schlieder, S., 1961, Bemerkungen zur Unit\"ar\"aquivalenz von Lorentzinvarianten Feldern, Nuovo Cimento, 22: 1051--1068.

Roberts, J. E., 1990, Lectures on algebraic quantum field theory, in Kastler 1990, pp. 1--112.

Ruetsche, L., 2003, A matter of degree: Putting unitary equivalence to work, Philosophy of Science, 70/5: 1329--1342.

Ryder, L. H., 1996, Quantum Field Theory, 2nd edition, Cambridge: Cambridge University Press.

Saunders, S., 1988, The algebraic approach to quantum field theory, in Brown and Harr\'e 1988, pp. 149--183.

Saunders, S., 1995, A dissolution of the problem of locality, in Hull, M. F. D., Forbes, M., and Burian, R. M., eds., 1995, Proceedings of the Biennial Meeting of the Philosophy of Science Association: PSA 1994, East Lansing, MI: Philosophy of Science Association, vol. 2, pp. 88-98.

Saunders, S. and Brown, H. R., eds., 1991, The Philosophy of Vacuum, Oxford: Clarendon Press.

Scharf, G., 1995, Finite quantum electrodynamics: the Causal Approach, 2nd edition, Berlin-Heidelberg-New York: Springer.

Schr\"odinger, E., 1954, Nature and the Greeks, Cambridge: Cambridge University Press, Cambridge. (Shearman Lectures, delivered at University College, London, May 1948.)

Schweber, S. S., 1994, QED and the Men Who Made It, Princeton: Princeton University Press.

Segal, I. E., 1947a, irreducible representations of operator algebras, Bulletin of the American Mathematical Society , 53: 73--88.

Segal, I. E., 1947b, Postulates for general quantum mechanics, Annals of Mathematics , 48(4): 930-948.

Seibt, J., 2002, The matrix of ontological thinking: Heuristic preliminaries for an ontology of QFT, in Kuhlmann et al. 2002, pp. 53-97.

Streater, R. F. and Wightman, A. S., 1964, PCT, spin and Statistics, and all that, New York: Benjamin.

Teller, P., 1983, Quantum physics, the identity of indiscernibles and some unanswered questions, Philosophy of Science, 50: 309--319.

Teller, P., 1990, What the quantum field is not, Philosophical Topics, 18: 175--186.

Teller, P., 1995, An Interpretive Introduction to Quantum Field Theory, Princeton: Princeton University Press.

Unruh, W. G., 1976, Notes on black hole evaporation, Physical Review D, 14: 870--92.

Unruh, W. G. and Wald, R. M., 1984, What happens when an accelerating observer detects a Rindler particle? Physical Review D, 29: 1047--1056.

Weinberg, S., 1995, The Quantum Theory of Fields -- Foundations, Volume 1. Cambridge: Cambridge University Press.

Weyl, H., 1952, Symmetry, Princeton: Princeton University Press.

Wigner, E. P., 1939, On unitary representations of the inhomoneneous Lorentz group, Annals of Mathematics , 40: 149--204.

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References

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  1. ↑ Huzihiro Araki. On the connection of spin and commutation relations between different fields. Journal of Mathematical Physics, 2:267--270, 1961.
  2. ↑ Huzihiro Araki. A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Journal of Mathematical Physics, 4, 1963.
  3. ↑ Huzihiro Araki. Mathematical theory of quantum fields. Oxford University Press, New York, 1999.
  4. ↑ Frank Arntzenius. Is quantum mechanics pointless? Philosophy of Science, 70(5):1447--1457, 2003.
  5. ↑ G. Bacciagaluppi. Separation theorems and Bell inequalities in algebraic quantum mechanics. In Symposium on the Foundations of Modern Physics 1993: Quantum Measurement, Irreversibility and the Physics of Information, pages 29--37. World Scientific, Singapore, 1994.
  6. ↑ John Baez, Irving Segal, and Zheng--Fang Zhou. Introduction to algebraic and constructive quantum field theory. Princeton University Press, Princeton, NJ, 1992.
  7. ↑ John Baez. Bell's inequality for C*--algebras. Letters in Mathematical Physics, 13(2):135--136, 1987.
  8. ↑ J. S. Bell. Beables for quantum field theory. In "Quantum implications", pages 227--234. Routledge and Kegan Paul, London, 1987.
  9. ↑ Enrico G. Beltrametti and Gianni Cassinelli. The logic of quantum mechanics. Addison--Wesley Publishing Co., Reading, Mass., 1981.
  10. ↑ Julien Bichon. Trivialisations dans les cat\'egories tannakiennes. Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques, 39(4):243--270, 1998.
  11. ↑ Julien Bichon. Galois extension for a compact quantum group. math.QA--9902031, 1999.
  12. ↑ Julien Bichon. Trivialisations dans les cat\^A´egories tannakiennes. Preprint version of Bichon (1998), ND.
  13. ↑ D. Bohm and B. J. Hiley. The undivided universe. Routledge, London, 1995.
  14. ↑ Niels Bohr and Leon Rosenfeld. Field and charge measurements in quantum electrodynamics. Physical Review, 78:794--798, 1950.
  15. ↑ H.J. Borchers. A remark on a theorem of B. Misra. Communications in Mathematical Physics, 4:315--323, 1967.
  16. ↑ H. J. Borchers. On revolutionizing quantum field theory with Tomita's modular theory. Journal of Mathematical Physics, 41:3604--3673, 2000.
  17. ↑ Henning Bostelmann. Lokale Algebren und Operatorprodukte am Punkt. PhD thesis, Universitat Gottingen, 2000.
  18. ↑ Henning Bostelmann. Phase space properties and the short distance structure in quantum field theory. math--ph.0409070, 2004.
  19. ↑ Ola Bratteli and Derek W. Robinson. Operator algebras and quantum statistical mechanics, volume 2. Springer, NY, 1997.
  20. ↑ Detlev Buchholz and Klaus Fredenhagen. Locality and the structure of particle states. Communications in Mathematical Physics, 84:1--54, 1982.
  21. ↑ Pierre Gabriel. Des cat\'egories ab\'eliennes. Bulletin de la Soci´et´e Math´ematique de France, 90:323--448, 1962.
  22. ↑ D. Giulini. Superselection rules and symmetries. In Decoherence and the appearance of a classical world in quantum theory. Springer, NY, 2nd edition, 2003.
  23. ↑ Daniele Guido and Roberto Longo. Relativistic invariance and charge conjugation in quantum field theory. Communications in Mathematical Physics,148:521--551, 1992.
  24. ↑ R. Haag and J. A. Swieca. When does a quantum field theory describe particles? Communications in Mathematical Physics, 1:308--320, 1965.
  25. ↑ Rudolf Haag. Local quantum physics. Springer-Verlag, Berlin, second edition, 1996.
  26. ↑ Hans Halvorson and Rob Clifton. Generic Bell correlation between arbitrary local algebras in quantum field theory. Journal of Mathematical Physics, 41(4):1711--1717, 2000.
  27. ↑ Hans Halvorson and Rob Clifton. No place for particles in relativistic quantum theories? Philosophy of Science, 69(1):1--28, 2002.
  28. ↑ Hans Halvorson. On the nature of continuous physical quantities in classical and quantum mechanics. Journal of Philosophical Logic, 30:27--50, 2001.
  29. ↑ Hans Halvorson. Reeh-Schlieder defeats Newton-Wigner: on alternative localization schemes in relativistic quantum field theory. Philosophy of Science, 68(1):111–133, 2001.
  30. ↑ Hans Halvorson. Complementarity of representations in quantum mechanics. Studies in History and Philosophy of Modern Physics, 35(1):45–56, 2004.
  31. ↑ Peter R. Holland. The quantum theory of motion. Cambridge University Press, Cambridge, 1995.
  32. ↑ S. S. Horuzhy. Introduction to algebraic quantum field theory. Kluwer Academic Publishers, Dordrecht, 1990.
  33. ↑ Nick Huggett. On the significance of permutation symmetry. British Journal for the Philosophy of Science, 50(3):325–347, 1999.
  34. ↑ Nick Huggett. Philosophical foundations of quantum field theory. British Journal for the Philosophy of Science, 51:617–637, 2000.
  35. ↑ Richard V. Kadison and John R. Ringrose. Fundamentals of the theory of operator algebras. Vol. I. American Mathematical Society, Providence, RI, 1997.
  36. ↑ Christian Kassel. Quantum groups. Springer--Verlag, New York, 1995.
  37. ↑ Yuichiro Kitajima. A remark on the modal interpretation of algebraic quantum field theory. Physics Letters A, 331(3-4):181--186, 2004.
  38. ↑ Karl Kraus. States, effects, and operations. Springer-Verlag, Berlin, 1983.
  39. ↑ N. P. Landsman. Observation and superselection in quantum mechanics. Studies in History and Philosophy of Modern Physics, 26(1):45--73, 1995.
  40. ↑ Roberto Longo. Notes on algebraic invariants for noncommutative dynamical systems. Communications in Mathematical Physics, 69(3):195--207, 1979.
  41. ↑ Roberto Longo. Index of subfactors and statistics of quantum fields, I. Communications in Mathematical Physics, 126:217--247, 1989.
  42. ↑ Wayne C. Myrvold. Modal interpretations and relativity. Foundations of Physics, 32(11):1773--1784, 2002.
  43. ↑ Gert K. Pedersen. Analysis now. Springer, New York, 1989.
  44. ↑ Mikl\'os R\'edei. Quantum logic in algebraic approach. Kluwer Academic Publishers Group, Dordrecht, 1998.
  45. ↑ V. S. Varadarajan. Supersymmetry for mathematicians: an introduction. American Mathematical Society, Providence, RI, 2004.
  46. ↑ Pieter E. Vermaas. A philosopher's understanding of quantum mechanics. Cambridge University Press, Cambridge, 1999.
  47. ↑ Robert M. Wald. Quantum field theory in curved spacetime and black hole thermodynamics. University of Chicago Press, Chicago, IL, 1994.
  48. ↑ David Wallace. In defense of naievete: The conceptual status of Lagrangian QFT. Synthese.
  49. ↑ G. C. Wick, A. S. Wightman, and E. P. Wigner. The intrinsic parity of elementary particles. Physical Review, 88:101--105, 1952.
  50. ↑ A. S. Wightman. La th\'eorie quantique locale et la th\'eorie quantique des champs. Ann. Inst. H. Poincar\'e Sect. A (N.S.), 1:403--420, 1964.
  51. ↑ E.Wigner. On unitary representations of the inhomogeneous Lorentz group. Ann. of Math. (2), 40(1):149--204, 1939.
  52. ↑ Z. Wizimirski. On the existence of the field of operators in the axiomatic quantum field theory. Bulletin de l'Acad\'emie Polonaise des Sciences. S\'erie des Sciences Math\'ematiques, Astronomiques et Physiques, 14:91--93, 1966.
  53. ↑ Manfred Wollenberg. Quantum fields as pointlike localized objects. II. Mathematische Nachrichten, 128:287--298, 1986.
  54. ↑ Jakob Yngvason. The role of type III factors in quantum field theory. Reports on Mathematical Physics, 55(1):135--147, 2005.
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