Summary
Using temperature-dependent Green’s function techniques, we study the vacuum of the two-dimensionalO N model at finite temperatures. We also analyse the semi-classical bound-state spectrum of this theory at finite temperatures by applying quantum statistics to the fluctuations which determine the quantum dynamics of these bound states.
Riassunto
Usando tecniche con la funzione di Green e dipendenti dalla temperatura, si studia il vuoto del modello bidimensionaleO N a temperature finite. Si analizza anche lo spettro semiclassico dello stato legato di questa teoria a temperature finite applicando la statistica quantica alle fluttuazioni che determinao la dinamica quantica di questi stati legati.
Реэюме
Испольэуя технику функций Грина, эависяших от температуры, мы исследуем вакуум двумернойO N модели при конечных температурах. Мы также аналиэируем полуклассический спектр свяэанных состояний зтой теории при конечной температуре, применяя квантовую статистику к флуктуациям, которые определяют квантовую динамику зтих свяэанных состояний.
Similar content being viewed by others
References
R. Dashen, B. Hasslacher andA. Neveu:Phys. Rev. D,10,
4114
4130 (1974);
12, 2443 (1975).
J. Goldstone andR. Jackiw:Phys. Rev. D,11, 1486 (1975).
L. D. Faddeev:Quantization of solitons, IAS preprint, unpublished (1975).
R. Rajaraman:Phys. Rep.,23 C, 281 (1976).
V. E. Zakharov andL. D. Faddeev:Korteweg-de Vries equation: a completely integrable Hamiltonian system, translation inFunc. Anal. Appl.,5, 280 (1972).
G. Lazarides andA. A. Patani:Nucl. Phys.,128 B, 442 (1977).
L. Dolan andR. Jackiw:Phys. Rev. D,9, 3320 (1974);H. J. Schnitzer:Phys. Rev. D,10, 1800, 2042 (1974);S. Coleman, R. Jackiw andH. D. Politzer:Phys. Rev. D,10, 2491 (1974);H. J. Schnitzer:Nucl. Phys.,109 B, 297 (1976).
L. F. Abbott:Phys. Rev. D,14, 552 (1976).
D. Gross andA. Neveu:Phys. Rev. D,10, 3235 (1974).
S. Coleman:Comm. Math. Phys.,31, 259 (1973).
A. A. Abrikosov, L. P. Gorkov andI. E. Dzyaloshinski:Methods of Quantum Field Theory in Statistical Physics (Englewood Cliffs, N. J., 1964);A. L. Fetter andJ. D. Walecka:Quantum Theory of Many-Particle Systems (New York, N. Y., 1971);S. Weinberg:Phys. Rev. D,9, 3357 (1974).
M. B. Kislinger andP. D. Morley:Phys. Rev. D,13, 2771 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lazarides, G. Bound states of the two-dimensionalO N model at finite temperatures. Nuov Cim A 43, 615–633 (1978). https://doi.org/10.1007/BF02730347
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02730347