Abstract
We prove that, for a broad class of many-fermion models, the amplitudes of renormalized Feynman diagrams converge to their temperature zero values in the limit as the temperature tends to zero.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Dym and H. McKean, Fourier Series and Integrals.
J. Feldman, Phase space expansions in quantum field theory, in Proceedings of 26th Internationale Universitätswochen für Kernphysik, Schladming, Austria, H. Mitter and L. Pittner, eds. (Springer-Verlag, 1987), pp. 160–183.
J. Feldman, T. Hurd, L. Rosen, and J. Wright, QED: A Proof of Renormalizability, Springer Lecture Notes in Physics, Vol. 312 (1988).
J. Feldman, H. Knörrer, D. Lehmann, and E. Trubowitz, Fermi liquids in two-space dimensions, Constructive Physics, V. Rivasseau, ed., Springer Lecture Notes in Physics, Vol. 446, pp. 267–300 (1995).
J. Feldman, H. Knörrer, D. Lehmann, and E. Trubowitz, Are there two dimensional Fermi liquids?, Proceedings of the XIth International Congress of Mathematical Physics, D. Iagolnitzer, ed. (1995), pp. 440–444.
J. Feldman, H. Knörrer, M. Salmhofer, and E. Trubowitz, The temperature zero limit, II. The Bethe-Salpeter kernel, in preparation.
J. Feldman, H. Knörrer, R. Sinclair, and E. Trubowitz, Superconductivity in a repulsive model, Helvetica Physica Acta 70:154–191 (1997).
J. Feldman, M. Salmhofer, and E. Trubowitz, Perturbation theory around non-nested Fermi surfaces, I. Keeping the Fermi surface fixed, J. Statistical Physics 84:1209–1336 (1996).
J. Feldman, M. Salmhofer, and E. Trubowitz, Regularity of the moving Fermi surface: RPA contributions, Communications on Pure and Applied Mathematics, to appear.
J. Feldman, M. Salmhofer, and E. Trubowitz, Regularity of interacting nonspherical Fermi surfaces: The full self-energy, Communications on Pure and Applied Mathematics, to appear.
J. Feldman and E. Trubowitz, Perturbation theory for many-fermion systems, Helvetica Physica Acta 63:156–260 (1990).
J. Feldman and E. Trubowitz, The flow of an electron_phonon system to the superconducting state, Helvetica Physica Acta 64:214–357 (1991).
A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, 1971).
G. Gallavotti, Renormalization theory and ultraviolet stability for scalar fields via renormalization group methods, Rev. Mod. Phys. 57:471–562 (1985).
G. Gallavotti and F. Nicolò, Renormalization theory in four dimensional scalar fields I and II, Commun. Math. Phys. 100:545 (1985) and 101:247 (1985).
W. Kohn and J. M. Luttinger, Ground-state energy of a many-fermion system, Phys. Rev. 118:41–45 (1960).
J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, 1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Feldman, J., Knörrer, H., Salmhofer, M. et al. The Temperature Zero Limit. Journal of Statistical Physics 94, 113–157 (1999). https://doi.org/10.1023/A:1004523616519
Issue Date:
DOI: https://doi.org/10.1023/A:1004523616519