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Critical structure factors of bilinear fields in [formula presented] vector models

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 65, Issue: 4, Page: 16-null
2002
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We compute the two-point correlation functions of general quadratic operators in the high-temperature phase of the three-dimensional [formula presented] vector model by using field-theoretical methods. In particular, we study the small- and large-momentum behavior of the corresponding scaling functions, and give general interpolation formulas based on a dispersive approach. Moreover, we determine the crossover exponent [formula presented] associated with the traceless tensorial quadratic field, by computing and analyzing its six-loop perturbative expansion in fixed dimension. We find [Formula Presented] and [formula presented] for [formula presented] respectively. © 2002 The American Physical Society.

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