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Phys. Rev. Lett. 94, 010603 (2005) [4 pages]

Study of CP(N-1) θ-Vacua by Cluster Simulation of SU(N) Quantum Spin Ladders

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B. B. Beard1, M. Pepe2, S. Riederer2, and U.-J. Wiese2
1Departments of Physics and Mechanical Engineering, Christian Brothers University, Memphis, TN 38104, USA
2Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, 3012 Bern, Switzerland

Received 8 July 2004; published 10 January 2005

D-theory provides an alternative lattice regularization of the 2D CP(N-1) quantum field theory in which continuous classical fields emerge from the dimensional reduction of discrete SU(N) quantum spins. Spin ladders consisting of n transversely coupled spin chains lead to a CP(N-1) model with a vacuum angle θ=nπ. In D-theory no sign problem arises and an efficient cluster algorithm is used to investigate θ-vacuum effects. At θ=π there is a first order phase transition with spontaneous breaking of charge conjugation symmetry for CP(N-1) models with N>2.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.010603
DOI:
10.1103/PhysRevLett.94.010603
PACS:
05.50.+q, 11.10.–z, 75.10.Jm