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Massive Gross-Neveu model in the leading order of the 1/N expansion. Allowance for the temperature and the chemical potential

Massive Gross-Neveu model in the leading order of the 1/N expansion. Allowance for the... shift Z + Z + Fk/7. This is manifested in the fact that in the S matrix (Ii) the fermion- boson transition processes described by the operator k*W -- W+k are absolutely analogous to the same processes with the same matrix elements A(~, f) in the dynamics of the zero modes. In the Hamiltonian, this interconnection is manifested in the fact that the classical energy of the fermion field is zero, the excitation spectrum does not change, and the term with the supersymmetric discrete modes ~ has as its analog the spl~tting of these levels by exchange of the zero mode. On the other hand, we observe effects in which the properties of ~c as a "classical" field component are directly manifested. If k and k* are independent, ~c does not have a definite charge parity. As a consequence we have in this case a nonzero "classical" charge ~F 2 and terms in which the fermions B~ and antifermions D~ occur in a combination with incorrect sign compared with the main terms. LITERATURE CITED i. R. Rajaraman, Solitons and Instantons, North-Holland, Amsterdam (1984). 2. R. F. Daschen, B. Hasslacher, and A. Neveu, Phys. Rev. D, 12, 2443 (1975); R. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Theoretical and Mathematical Physics Springer Journals

Massive Gross-Neveu model in the leading order of the 1/N expansion. Allowance for the temperature and the chemical potential

Theoretical and Mathematical Physics , Volume 75 (2): 7 – May 1, 1988

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References (9)

Publisher
Springer Journals
Copyright
1988 Plenum Publishing Corporation
ISSN
0040-5779
eISSN
1573-9333
DOI
10.1007/BF01017488
Publisher site
See Article on Publisher Site

Abstract

shift Z + Z + Fk/7. This is manifested in the fact that in the S matrix (Ii) the fermion- boson transition processes described by the operator k*W -- W+k are absolutely analogous to the same processes with the same matrix elements A(~, f) in the dynamics of the zero modes. In the Hamiltonian, this interconnection is manifested in the fact that the classical energy of the fermion field is zero, the excitation spectrum does not change, and the term with the supersymmetric discrete modes ~ has as its analog the spl~tting of these levels by exchange of the zero mode. On the other hand, we observe effects in which the properties of ~c as a "classical" field component are directly manifested. If k and k* are independent, ~c does not have a definite charge parity. As a consequence we have in this case a nonzero "classical" charge ~F 2 and terms in which the fermions B~ and antifermions D~ occur in a combination with incorrect sign compared with the main terms. LITERATURE CITED i. R. Rajaraman, Solitons and Instantons, North-Holland, Amsterdam (1984). 2. R. F. Daschen, B. Hasslacher, and A. Neveu, Phys. Rev. D, 12, 2443 (1975); R.

Journal

Theoretical and Mathematical PhysicsSpringer Journals

Published: May 1, 1988

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