Stochastic bosonization for an interacting d ≥ 3 Fermi system

L. Accardi; V. Mastropietro

Annales de l'I.H.P. Physique théorique (1997)

  • Volume: 66, Issue: 2, page 215-235
  • ISSN: 0246-0211

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Accardi, L., and Mastropietro, V.. "Stochastic bosonization for an interacting $d \ge 3$ Fermi system." Annales de l'I.H.P. Physique théorique 66.2 (1997): 215-235. <http://eudml.org/doc/76751>.

@article{Accardi1997,
author = {Accardi, L., Mastropietro, V.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {stochastic bosonization technique; self-interacting Fermi system; quantum stochastic differential equation},
language = {eng},
number = {2},
pages = {215-235},
publisher = {Gauthier-Villars},
title = {Stochastic bosonization for an interacting $d \ge 3$ Fermi system},
url = {http://eudml.org/doc/76751},
volume = {66},
year = {1997},
}

TY - JOUR
AU - Accardi, L.
AU - Mastropietro, V.
TI - Stochastic bosonization for an interacting $d \ge 3$ Fermi system
JO - Annales de l'I.H.P. Physique théorique
PY - 1997
PB - Gauthier-Villars
VL - 66
IS - 2
SP - 215
EP - 235
LA - eng
KW - stochastic bosonization technique; self-interacting Fermi system; quantum stochastic differential equation
UR - http://eudml.org/doc/76751
ER -

References

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  2. [Lu92] Y.G. Lu, The weak coupling limit for quadratic interaction, J. Math. Phys., Vol. 33, 8, 1992. Zbl0762.60104MR1180417
  3. [AcLuVo] L. Accardi, Y.G. Lu and I. Volovich, Non commutative (Quantum) probability, Master fields and stochastic bosonization, Preprint Volterra, 1994, ID-9412241. 
  4. [AcLuMa] L. Accardi, Y.G. Lu and V. Mastropietro, Stochastic bosonization for a d ≥ 3 Fermi system, Ann. Inst. Henri-Poincaré, Vol. 66, No. 2, 1997, pp. 185-213. Zbl0874.60092MR1449191
  5. [BeGa] G. Benfatto and G. Gallavotti, Perturbation theory of the Fermi surface in a quantum liquid: a general quasi particle formalism and one dimensional systems, Journ. Stat. Phys., Vol. 59, 1990, pp. 641-664. Zbl0716.76090MR1063175
  6. [BeGaMa] G. Benfatto, G. Gallavotti and V. Mastropietro, Renormalization group and the Fermi surface in the Luttinger model, Phys. Rev., B, Vol. 45, n. 10, 1992, pp. 5468-5480. 
  7. [Da] E.B. Davies, Markovian master equation, Comm. Math. Phys., Vol. 39, 1974, pp. 91-110. Zbl0294.60080MR359633
  8. [HuPa] R.L. Hudson and K.R. Parthasaraty, Quantum Ito's formula and stochastic evolution, Comm. Math. Phys., Vol. 93, 1984, pp. 301-323. Zbl0546.60058
  9. [HoMa] A. Houghton and J.B. Marston, Bosonization and Fermion liquids in dimension greater than one, Phys. Rev., Vol. B48, pp. 7790-7808. 
  10. [Ne] L. Negele, Quantum many particle system, New York, Addison Wesley, 1988. MR1044771
  11. [vH] L. Van Hove, Quantum mechanical perturbations giving rise to a statistical transport equation, Physica, Vol. 21, 1955, pp. 540-617. Zbl0106.20903MR71346

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