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    • Static,c-number solutions of a two dimensional sine-Gordon-like field equation

      K Babu Joseph A N Muraleedhara Shenoi

      Nuclear And Particle Physics Volume 10 Issue 6 June 1978 pp 563-575

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/010/06/0563-0575

    • Keywords

       

      Solitons; intersoliton potential; stability; quark confinement

    • Abstract

       

      A sine-Gordon type scalar field with a$$\cos ^4 [(\sqrt {\bar \lambda } \phi )/m]$$ potential in two dimensions is studied and a static,c-number, stable, finite energy solution obtained. The intersoliton potential is evaluated for this model and is shown to be long range, attractive and ‘strong’ in the weak coupling regime. A positronium-like spectrum of bound states of the soliton-antisoliton pair is derived using this potential. The coupling with a massless quark field is discussed and an exact, stable and analytic solution of the spinor field exhibiting confinement in one space dimension is obtained.

    • Author Affiliations

       

      K Babu Joseph1 A N Muraleedhara Shenoi1

      1. Department of Physics, Cochin University, Cochin - 682 022

    • Dates

       
      Published
      June 1978
      Manuscript received
      16 February 1978

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