A Coupled-Cluster Formulation of Hamiltonian Lattice Field Theory: The Non-Linear Sigma Model

Abstract

We apply the coupled cluster method (CCM) to the Hamiltonian version of the latticised O(4) non-linear sigma model. The method, which was initially developed for the accurate description of quantum many-body systems, gives rise to two distinct approximation schemes. These approaches are compared with each other as well as with some other Hamiltonian approaches. Our study of both the ground state and collective excitations leads to indications of a possible chiral phase transition as the lattice spacing is varied.

44 Pages, 14 figures. Uses Latex2e, graphicx, amstex and geometry packages

References in corpus (1)

• Perturbative renormalization group, exact results and high temperature series to order 21 for the N-vector spin models on the square lattice

Cited by in corpus (10)

• Dimensionality reduction of many-body problem using coupled-cluster sub-system flow equations: classical and quantum computing perspective
• Towards a Many-Body Treatment of Hamiltonian Lattice SU(N) Gauge Theory
• Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• The Extended Coupled Cluster Treatment of Correlations in Quantum Magnets
• Continuous variable quantum computation of the $O(3)$ model in 1+1 dimensions
• Mapping renormalized coupled cluster methods to quantum computers through a compact unitary representation of non-unitary operators
• Non-Canonical Perturbation Theory of Non-Linear Sigma Models
• Phase transition in the transverse Ising model using the extended coupled-cluster method
• Quantum Phase Transitions and the Extended Coupled Cluster Method