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2 results

  • 6 - Scalar Field Theory, Origins, and Applications

  • from Part I - General Properties of Fields; Scalars and Gauge Fields
  • Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
  • Book:
    Classical Field Theory
    Published online:
    04 March 2019
    Print publication:
    14 March 2019, pp 54-64

  • Summary

    We define scalar field theory, explaining its various applications in physics as either fundamental or effective field. We write a general canonical Lagrangian with a potential, and the resulting Klein–Gordon equation.Examples for this are shown, in particular the sine–Gordon model and the Higgs model. For several scalars, we show the O(N) model and, for models with a noncanonical kinetic term, the DBI model and nonlinear sigma models.

  • Ward’s Solitons II: Exact Solutions

  • Christopher Kumar Anand
  • Journal:
    Canadian Journal of Mathematics / Volume 50 / Issue 6 / 01 December 1998
    Published online by Cambridge University Press:
    20 November 2018, pp. 1119-1137
    Print publication:
    01 December 1998
    • Article
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  • In a previous paper, we gave a correspondence between certain exact solutions to a (2 + 1)-dimensional integrable Chiral Model and holomorphic bundles on a compact surface. In this paper, we use algebraic geometry to derive a closed-form expression for those solutions and show by way of examples how the algebraic data which parametrise the solution space dictates the behaviour of the solutions.