Thermal distributions of first, second and third quantization

Michael McGuigan

Physica A: Statistical Mechanics and its Applications, 1989, vol. 158, issue 1, 546-554

Abstract: We treat first quantized string theory as two-dimensional gravity plus matter. This allows us to compute the two-dimensional density of one string states by the method of Darwin and Fowler. One can then use second quantized methods to form a grand microcanonical ensemble in which one can compute the density of multistring states of arbitrary momentum and mass. It is argued that modelling an elementary particle as a d−1-dimensional object whose internal degrees of freedom are described by a massless d-dimensional gas yields a density of internal states given by σd(m)∼m−aexp((bm)2(d−1)d). This indicates that these objects cannot be in thermal equilibrium at any temperature unless d⩽2; that is for a string or a particle. Finally, we discuss the application of the above ideas to four-dimensional gravity and introduce an ensemble of multiuniverse states parameterized by second quantized canonical momenta and particle number.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:158:y:1989:i:1:p:546-554

DOI: 10.1016/0378-4371(89)90548-7

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