Using maximally symmetric lattices to improve scaling and Lorentz invariance in the O(3) nonlinear sigma model

Journal Article · Fri Mar 15 00:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.1478· OSTI ID:6129891

Basu, R; Guha, A

We pursue the previously proposed idea of using maximally symmetric lattices to improve scaling and Lorentz invariance in lattice field theories. For the two-dimensional O(3) nonlinear sigma model, we construct both the standard action and a one-loop improved action on a triangular lattice. Numerical evidence for improvement is presented for both the models without an appreciable increase in computing time.

• Research Organization: Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794
• OSTI ID: 6129891
• Journal Information: Phys. Rev. D; (United States), Vol. 31:6
• Country of Publication: United States
• Language: English

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