Scaling hypothesis, relativistic statistics and critical mass of dwarf stars

Details Scaling hypothesis, relativistic statistics and critical mass of dwarf stars Scaling hypothesis, relativistic statistics and critical mass of dwarf stars

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978prama..11..559d&link_type=abstract

Pramana, vol. 11, Nov. 1978, p. 559-568.

Physics

Critical Mass, Dwarf Stars, Green'S Functions, Scaling, Statistical Analysis, Stellar Mass, Chandrasekhar Equation, Many Body Problem, Radii, Statistical Correlation

Scientific paper

Assuming that field theoretic Green's functions scale, expressions for correlation function, number density, pressure are obtained for a relativistic statistical many-body system. The scaling parameter is related to anomalous dimension and is a measure of interaction. The effect of this interaction on the critical mass of dwarf stars is studied and is not found to be insignificant. A mass radius relation is deduced. The Chandrasekhar limit is reproduced in the limit of non-interaction.

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