Journal of Physical Studies 2(2), 197–200 (1998)
DOI: https://doi.org/10.30970/jps.02.197

CONSTRAINT FREE BOSONIZATION OF SPIN SYSTEMS IN ANY DIMENSION

A. Ilinskaia1, K. Ilinski1,2
1School of Physics and Space Research, University of Birmingham, Birmingham B15 2TT, United Kingdom
2Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow region, 142092, Russian Federation

We present a new representation of spin operators in terms of bosonic creation–annihilation operators. This representation allows us to formulate a new field–theoretical description of spin systems which is free of any constraints. The corresponding functional integral representations for thermodynamic quantities are given and the application to investigations of Long Range Order in the system is discussed.

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