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    • The energy—momentum tensor, the trace identity and the Casimir effect

      S G Kamath

      Volume 66 Issue 2 February 2006 pp 345-360

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/066/02/0345-0360

    • Keywords

       

      Covariant gauge; free electromagnetic field; Casimir effect

    • Abstract

       

      The trace identity associated with the scale transformation xΜ → x′Μ = e-ρxΜ on the Lagrangian density for the noninteracting electromagnetic field in the co-variant gauge is shown to be violated on a single plate on which the Dirichlet boundary conditionAΜ(t, x1, x2, x3 = -a) = 0 is imposed. It is however respected in free space, i.e. in the absence of the plate. These results reinforce our assertions in an earlier paper where the same exercise was carried out using the Lagrangian density for the free, massive, real scalar field in 2 + 1 dimensions.

    • Author Affiliations

       

      S G Kamath1

      1. Department of Mathematics, Indian Institute of Technology Madras, Chennai - 600 036, India

    • Dates

       
      Published
      February 2006
      Manuscript received
      11 July 2005
      Manuscript revised
      10 October 2005
      Accepted
      18 November 2005

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