Summary
Taking a statistical mechanical point of view, we discuss the statistical bootstrap model and, from a critical analysis of the bootstrap volume concept, we come to a physical hypothesis, which leads immediately to the hadronic equation of state provided by the bootstrap integral equation. In this context we analyse also the connection between the statistical bootstrap and the linear graph theory approach to interacting gases.
Riassunto
Partendo dal punto di vista della meccanica statistica si discute il modello del bootstrap statistico e da un’analisi critica del concetto di volume di bootstrap si giunge ad un’ipotesi fisica che conduce immediatamente all’equazione di stato adronica fornita dall’equazione integrale del bootstrap. Si analizza, in questo contesto, la connessione tra il bootstrap statistico e l’approccio della teoria dei grafi lineari al problema dei gas interagenti.
Реэюме
Испольэуя подход статистической механики, мы обсуждаем модель статистического бутстрапа. Иэ критического аналиэа концепции общема бутстрапа мы приходим к фиэической гипотеэе, которая непосредственно приводит к адронному уравнению состояния. Мы также аналиэируем свяэь между статистическим бутстрапом и подходом, с испольэованием линейной теории графиков, к вэаимодействуюшим гаэам.
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References
R. Hagedorn:Suppl. Nuovo Cimento,3, 147 (1965).
R. Hagedorn: Lectures given at theAcademic Training Program (1970–1971)on the Thermodynamics of Strong Interactions.
S. Frautschi:Phys. Rev. D,3, 2821 (1971).
AK. Huang andS. Weinberg:Phys. Rev. Lett.,25, 895 (1970).
R. D. Carlitz:Phys. Rev. D,5, 3231 (1971).
S. Frautschi andW. Nahm: EFI-72 (1972).
R. Carlitz, S. Frautschi andW. Nahm: EFI-72-56 (1972).
In order to do that, it is important to discuss the concept of bootstrap volume and its relation to the thermodynamical volume and the correlation volume.
S. Frautschi: CALT/68/451 (1974).
J. Yellin:Nucl. Phys.,52 B, 583 (1973).
R. Hagedorn andI. Montvay:Nucl. Phys.,59 B, 45 (1973).
P. Fré andL. Sertorio:Nuovo Cimento,28 A, 538 (1975).
G. Rossi andB. Touschek:Meccanica statistica (Torino, 1970).
M. Chaichian, R. Hagedorn andM. Hayashi: CERN Th. (1975).
G. W. Ford andG. E. Uhlembeck:Theory of linear graphs with applications to the theory of the virtual development of the properties of gases, inStudies in Statistical Mechanics, Vol.1 (Durham, N. H., 1962).
K. Huang:Statistical Mechanics (New York, N. Y., 1964).
This idea was first introduced byCabibbo andParisi in ref. (16).
N. Cabibbo andG. Parisi: Rome preprint 834/325 (June 1975).
M. I. Gorenstein, V. A. Miransky, V. P. Shelest andG. M. Zinovjev:Phys. Lett.,45 B, 475 (1973).
M. I. Gorenstein, V. A. Miransky, V. P. Shelest, B. V. Struminsky andG. M. Zinovjev:Lett. Nuovo Cimento,6, 325 (1973).
M. I. Gorenstein, V. A. Miransky, V. P. Shelest, B. V. Struminsky andG. M. Zinovjev:Phys. Lett.,43 B, 73 (1973).
M. I. Gorenstein, V. A. Miransky, V. P. Shelest, G. M. Zinovjev andH. Satz:Nucl. Phys.,76 B, 453 (1974).
G. Matthiae:Nucl. Phys.,7 B, 142 (1968).
A. Bassetto andL. Sertorio:Nuovo Cimento,11 A, 548 (1973).
R. Dashen, S. Ma andH. Bernstein:Phys. Rev.,1, 345 (1969).
R. Dashen andS. Ma:Journ. Math. Phys.,11, 1136 (1970).
R. Dashen andS. Ma:Journ. Math. Phys.,12, 689 (1971).
R. Dashen andR. Ramarajan:Phys. Rev. D (to be published).
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Scholarship of the Consejo Nacional de Investigaciones Cientificasy Técnicas, Argentina.
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Fré, P., Page, R. Hadronic equation of state in the statistical bootstrap model and linear graph theory. Nuov Cim A 35, 481–517 (1976). https://doi.org/10.1007/BF02731783
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DOI: https://doi.org/10.1007/BF02731783