Abstract
It is argued that the physical vacuum in a. nonlinear quantized field will in general not. be invariant under the full symmetry group of the underlying equations or Lagrangian, but only covariant. Fixed point considerations generically break the symmetry down to an amenable subgroup.
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References
I.E. Segal: “Characterisation mathématique des observables en théorie quantique des champs”, in C.N.R.S. Coll. int. LXXV, Paris, 57–103 (1959)
I.E. Segal: “Mathematical characterisation of the physical vacuum, III”, J. Math. 6 500–523 (1962)
I.E. Segal: “Construction of nonlinear quantum processes, II”, Inv. Math. 14 211–242 (1971)
J.C. Baez, I.E. Segal, Z. Zhou: “Introduction to algebraic and constructive quantum field theory”, in press (Princeton University Press, 1990)
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© 1991 Springer-Verlag
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Segal, I.E. (1991). Is the physical vacuum really Lorentz-invariant?. In: Hennig, JD., Lücke, W., Tolar, J. (eds) Differential Geometry, Group Representations, and Quantization. Lecture Notes in Physics, vol 379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53941-7_9
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DOI: https://doi.org/10.1007/3-540-53941-7_9
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