Spin resolution of glueballs in (2+1)-dimensional lattice gauge theory

Robert W. Johnson
Phys. Rev. D 66, 074502 – Published 2 October 2002
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Abstract

Conventional lattice gauge theory assigns the lowest spin compatible with the symmetry channel of a given operator to the state coupling to that operator. Operators on a cubic lattice, however, are only defined on angles of π/2; hence states with equal spin modulo 4 may overlap significantly. This paper explores a new technique for generating lattice operators that may be placed onto the lattice at angles other than π/2, thereby resolving this modulo 4 ambiguity. Calculations of the mass of states with spin equal to 0, 2, and 4 are performed in the positive parity and charge conjugation channel and compared to the spectrum from previous lattice calculations. These masses compare well for spin 0 and 2, and for spin 4 the mass agrees with a state conventionally assigned spin 0, raising the possibility of misidentification of the spin of states coupling to some traditional operators.

  • Received 5 June 2002

DOI:https://doi.org/10.1103/PhysRevD.66.074502

©2002 American Physical Society

Authors & Affiliations

Robert W. Johnson*

  • Department of Physics, University of Oxford, Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, United Kingdom

  • *Email address: r.johnson1@physics.ox.ac.uk

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Vol. 66, Iss. 7 — 1 October 2002

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