caa a22 4500 469065567 CHVBK 20180323132907.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF02728558 doi (NATIONALLICENCE)springer-10.1007/BF02728558 Some results in Galilei-invariant field theories [Elektronische Daten] [T. Kashiwa, K. Seto, Y. Takahashi] Summary: In spite of the fact that the Galilei invariance is known to be a fundamental symmetry in the nonrelativistic world, many physical phenomena we observe do not reflect this symmetry in an obvious way. We shall study this problem within the context of path integrals of a field ϕ, which satisfies a Galilei-invariant field equation, to find vacua breaking the Galilei invariance. We show that one of such vacua is the one corresponding to a trivial solution ϕ=0 and another corresponding to a kinklike solution. The stability of the later solution, however, remains unsolved in this paper. It is pointed out that to clarify the structure of the spontaneous breakdown of the Galilei invariance within the usual canonical formalism there is a fundamental problem of quantization, namely, the Fock space description in terms of the asymptotic field, which is supposed to satisfy a linear equation, may not even be possible, hence the compatibility of the LSZ formalism with the Galilei invariance cannot be taken for granted. Società Italiana di Fisica, 1992 PACS 03.65 Quantum theory nationallicence quantum mechanics nationallicence Kashiwa T. Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada aut Seto K. Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada aut Takahashi Y. Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/7(1992-07-01), 745-754 107:7<745 1992 107 40764 https://doi.org/10.1007/BF02728558 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02728558 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kashiwa T. Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada aut NATIONALLICENCE 700 1- Seto K. Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada aut NATIONALLICENCE 700 1- Takahashi Y. Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1, Edmonton, Alberta, Canada aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/7(1992-07-01), 745-754 107:7<745 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer