Abstract
We examine the relevance of Dirac's view on the use of transformation theory and invariants in modern physics to current reflections on the meaning of physical symmetries, especially gauge symmetries.
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REFERENCES
Belot, G. (2001). “The principle of sufficient reason,” The Journal of Philosophy XCVIII: 55–74.
Belot, G. and Earman, J. (1999). From metaphysics to physics. In From Physics to Philosophy, J. Butterfield and C. Pagonis, eds., Cambridge University Press, Cambridge, pp. 166–186.
Brading, K. and Castellani, E. (eds.) (2003). Symmetries in Physics: Philosophical Reflections, Cambridge University Press, Cambridge, UK.
Castellani, L. (1982). Symmetries in constrained hamiltonian systems. Annals of Physics 143, 357–371.
Castellani, E. (2003). Symmetry and equivalence. In Symmetries in Physics: Philosophical Reflections, K. Brading and E. Castellani, eds., Cambridge University Press, Cambridge, UK.
Dirac, P. A. M. (1950). Generalized hamiltonian dynamics. Canadian Journal of Mathematics 2, 129.
Dirac, P. A. M. (1951). The hamiltonian form of field dynamics. Canadian Journal Mathematics 3,1.
Dirac, P. A. M. (1964). Lectures on Quantum Mechanics, Academic Press, New York.
Dirac, P. A. M. (1987). The Principles of Quantum Mechanics, Clarendon Press, Oxford. (Original work published 1930)
Earman, J. (2001). Gauge Matters. PSA 2000, PITT-PHIL-SCI00000070.
Earman, J. (2003). Tracking down gauge: An ode to the constrained Hamiltonian formalism. In Sym-metries in Physics: Philosophical Reflections, K. Brading and E. Castellani, eds., Cambridge University Press, Cambridge, UK.
Gitman, D. M. and Tyutin, I. V. (1990). Quantization of Fields with Constraints, Springer, Berlin.
Govaerts, J. (1991). Hamiltonian Quantisation and Constrained Dynamics, Leuven University Press, Leuven.
15Elena Castellani (2003). “Symmetries, Boundaries and Constraints,” manuscript in preparation.
Henneaux, M. and Teitelboim, C. (1992). Quantization of Gauge Systems, Princeton University Press, Princeton, NJ.
Lee, T. D. (1988). Particle Physics and Introduction to Field Theory, Harwood Academic, New York. (Original work published 1981)
Redhead, M. (1975). Symmetry in intertheory relations. Synthese 32,77–112.
Redhead, M. (2003). The interpretation of gauge symmetry. In M. Kuhlmann, H. Lyre, and A. Wayne, eds., Proceedings of the Conference Ontological Aspects of Quantum Field Theory, Bielefeld, Oct. 11–13, 1999, World Scientific, Singapore.
van Fraassen, B. C. (1989). Laws and Symmetry, Clarendon Press, Oxford.
Weyl, H. (1982). Symmetry, Princeton University Press, Princeton, NJ. (Original work published 1952)
Wigner, E. P. (1967). Symmetries and Reflections, Indiana University Press, Bloomington, IN.
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Castellani, E. Dirac on Gauges and Constraints. International Journal of Theoretical Physics 43, 1503–1514 (2004). https://doi.org/10.1023/B:IJTP.0000048634.28339.24
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DOI: https://doi.org/10.1023/B:IJTP.0000048634.28339.24