Summary
The possibility of a spontaneous breakdown of scale invariance is discussed within the framework of relativistic quantum field theory.
Riassunto
Nel contesto della teoria quantistica relativistica dei campi si discute la possibilità di una rottura spontanea dell’invarianza di scala.
Реэюме
В ремках релятивистской квантовой теории поля обсуждается воэможность спонтанного нарущения инвариантности подобия.
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Literatur
See,e.g.,D. W. Robinson:Istanbul Lectures (1966);J. A. Swieca:Cargèse Lectures (1969);C. A. Orzalesi:Charges and generators of symmetry transformations in quantum field theory, preprint Columbia University NYO-1932(2)-161;H. Reeh:Fortschr. Phys.,16, 687 (1968); and the original papers quoted there.
See,e.g.,G. Mack:Nucl. Phys.,5 B, 499 (1968);G. Mack andA. Salam:Ann. of Phys.,53, 174 (1969);A. Salam andJ. Strathdee:Phys. Rev.,184, 1750, 1760 (1968);L. Castell:Spontaneously broken symmetry and conformal invariance, preprint MPI München (7 Sept. 1970);J. Wess: Lecture presented at theHeidelberg Summer Institute on Strong-Interaction Physics, July 20–31, 1970; and the references quoted by these authors.
C. G. Callan, S. Coleman andR. Jackiw:Ann. of Phys.,59, 42 (1970);D. J. Gross andJ. Wess:Scale invariance, conformal invariance and the high-energy behaviour of scattering amplitudes, CERN preprint Ref. TH 1076, 24 September 1969.
D. Maison:Some remarks on symmetries generated by local currents, to be published.
H. Reeh:Fortschr. Phys.,16, 687 (1968), proof of 4.4.
J. Wess: private communication;L. Castell:Spontaneously broken symmetry and conformal invariance, preprint MPI München (7 Sept. 1970).
D. Maison andH. Reeh:Nuovo Cimento,1 A 78 (1971).
D. Maison andH. Reeh:Nonexistence of Goldstone particles with nonzero helicity, to be published.
S. Coleman:Journ. Math. Phys.,7, 787 (1966);H. Epstein:Quantum Field Theory Seminar Notes (Princeton; 1966), unpublished preprint;B. Schroer andP. Stichel:Commun. Math. Phys.,3, 258 (1966);G. F. Dell’Antonio:Nuovo Cimento,47 A, 1 (1967).
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Reeh, H. Remarks concerning a spontaneous breakdown of dilatations. Nuov Cim A 4, 566–574 (1971). https://doi.org/10.1007/BF02731372
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DOI: https://doi.org/10.1007/BF02731372