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Completeness of classical φ4 theory on two-dimensional lattices

Karimipour, V ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.85.032316
  3. Publisher: 2012
  4. Abstract:
  5. We formulate a quantum formalism for the statistical mechanical models of discretized field theories on lattices and then show that the discrete version of φ4 theory on 2D square lattice is complete in the sense that the partition function of any other discretized scalar field theory on an arbitrary lattice with arbitrary interactions can be realized as a special case of the partition function of this model. To achieve this, we extend the recently proposed quantum formalism for the Ising model and its completeness property to the continuous variable case
  6. Keywords:
  7. Continuous variables ; Field theory ; Mechanical model ; Partition functions ; Scalar field theory ; Square lattices ; Two-dimensional lattices ; Formal logic ; Ising model ; Lattice theory
  8. Source: Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 85, Issue 3 , March , 2012 ; 10502947 (ISSN)
  9. URL: http://journals.aps.org/pra/abstract/10.1103/PhysRevA.85.032316