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    Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions

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    Consider a dd-dimensional antiferromagnet with a quantum disordered ground state and a gap to bosonic excitations with non-zero spin. In a finite external magnetic field, this antiferromagnet will undergo a phase transition to a ground state with non-zero magnetization, describable as the condensation of a dilute gas of bosons. The finite temperature properties of the Bose gas in the vicinity of this transition are argued to obey a hypothesis of ZERO SCALE-FACTOR UNIVERSALITY for d<2d < 2, with logarithmic violations in d=2d=2. Scaling properties of various experimental observables are computed in an expansion in ϵ=2−d\epsilon=2-d, and exactly in d=1d=1.Comment: 27 pages, REVTEX 3.0, 8 Postscript figures appended, YCTP-xyz
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