منابع مشابه
Reflection Positivity and Monotonicity
We prove general reflection positivity results for both scalar fields and Dirac fields on a Riemannian manifold, and comment on applications to quantum field theory. As another application, we prove the inequality CD ≤ CN between Dirichlet and Neumann covariance operators on a manifold with a reflection.
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The interplay between the two fundamental concepts of topological order and reflection positivity allows one to characterize the ground states of certain many-body Hamiltonians. We define topological order in an appropriate fashion and show that certain operators have positive expectation value in all ground states. We apply our method to vortex loops in a model relevant to topological quantum ...
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We establish reflection positivity for Gibbs trace states defined by a certain class of Hamiltonians that describe the interaction of Majoranas on a lattice. These Hamiltonians may include many-body interactions, as long as the signs of the associated coupling constants satisfy certain restrictions. We show that reflection positivity holds on an even subalgebra of Majoranas.
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We consider the problem of estimating the distance from an unknown signal, observed in a white-noise model, to convex cones of positive/monotone/convex functions. We show that, when the unknown function belongs to a Hölder class, the risk of estimating the Lr -distance, 1 ≤ r < ∞, from the signal to a cone is essentially the same (up to a logarithmic factor) as that of estimating the signal its...
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120 Czech. J. Phys. B 29 [1979] A. Uhlmann: Some remarks on reflection positivity There was given, (c), a subspace L+ of L with RP property (~ ,0~) > 0 fora l l ~ L + . Then there appeared, (d), an isometric 1-parameter group s -~ T~, To = identity, satisfying for all s 0 T f l = T-s and, for s >-0, T~L+ _ L + . We have to have two further conditions of technical character. (e) Continuity condi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2008
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2907660