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Paper   IPM / P / 6578
School of Physics
  Title:   Conformal Invariance and Skyrmion Coupling in Quantum Field Theory
  Author(s):  H. Salehi
  Status:   Published
  Journal: Int. J. Theor. Phys.
  No.:  86
  Vol.:  37
  Year:  1998
  Pages:   1253-1263
  Supported by:  IPM
  Abstract:
We study the quantum constraints of a conformal invariant action for a scalar field. For this purpose we briefly present a reformulation of the duality principle advanced in [1] in the context of generally covariant quantum field theory, and apply it to examine the finite structure of the quantum constraints. This structure is shown to admit a dimensional coupling (a coupling mediated by a dimensional coupling-parameter) of states to gravity. Invariance breaking is introduced by defining a preferred configuration of dynamical variables in terms of the large scale characteristics of the universe. It this configuration a close relationship between the quantum constraints and the Einstein equations is established.

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