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TMF, 1999, Volume 118, Number 3, Pages 488–496 (Mi tmf722)  

This article is cited in 2 scientific papers (total in 2 papers)

Path-integral formulation of backward and UMKLAPP scattering for one-dimensional spinless fermions

V. I. Fernándeza, C. M. Naónb

a Universidad Nacional de La Plata
b Consejo Nacional de Investigaciones Científicas y Técnicas

Abstract: We present a $(1+1)$-dimensional fermionic quantum field theory with nonlocal couplings between currents. This model describes an ensemble of spinless fermions interacting through forward, backward, and UMKLAPP scattering processes. We express the vacuum-to-vacuum functional in terms of a nontrivial fermionic determinant. Using path-integral methods, we find a bosonic representation for this determinant and an effective action depending on three scalar fields, of which two correspond to the physical collective excitations and one is an auxiliary field, which can be integrated out using an approximation technique.

DOI: https://doi.org/10.4213/tmf722

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English version:
Theoretical and Mathematical Physics, 1999, 118:3, 385–391

Bibliographic databases:


Citation: V. I. Fernández, C. M. Naón, “Path-integral formulation of backward and UMKLAPP scattering for one-dimensional spinless fermions”, TMF, 118:3 (1999), 488–496; Theoret. and Math. Phys., 118:3 (1999), 385–391

Citation in format AMSBIB
\Bibitem{FerNao99}
\by V.~I.~Fern\'andez, C.~M.~Na\'on
\paper Path-integral formulation of backward and UMKLAPP scattering for one-dimensional spinless fermions
\jour TMF
\yr 1999
\vol 118
\issue 3
\pages 488--496
\mathnet{http://mi.mathnet.ru/tmf722}
\crossref{https://doi.org/10.4213/tmf722}
\zmath{https://zbmath.org/?q=an:0991.81059}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 3
\pages 385--391
\crossref{https://doi.org/10.1007/BF02557337}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000080492800020}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Fernandez, VI, “Non-local Thirring model with backward and umklapp interactions”, Nuclear Physics B, 636:3 (2002), 514  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    2. Naon, CM, “RG study of a non-local sine-Gordon model”, Nuclear Physics B, 663:3 (2003), 591  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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