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    • Renormalisation group approach to the ideal Bose gas ind dimensions

      K K Singh

      Statistical Mechanics Volume 16 Issue 3 March 1981 pp 211-236

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/016/03/0211-0236

    • Keywords

       

      Renormalisation group; bosons; scaling; critical behaviour; correlation function; Bose gas; quantum field amplitudes

    • Abstract

       

      Critical behaviour of ad-dimensional ideal Bose gas is investigated from the point of view of the renormalisation-group approach. Rescaling of quantum-field amplitudes is avoided by introducing a scaling variable inversely proportional to the thermal momentum of the particles. The scaling properties of various thermodynamic quantities are seen to emerge as a consequence of the irrelevant nature of this variable. Critical behaviour is discussed at fixed particle density as well as at fixed pressure. Connection between susceptibility and correlation function of the order-parameter for a quantum system is elucidated.

    • Author Affiliations

       

      K K Singh1

      1. Department of Physics and Astrophysics, University of Delhi, Delhi - 110 007, India

    • Dates

       
      Published
      March 1981
      Manuscript received
      4 November 1980
      Manuscript revised
      24 January 1981

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