Semiclassical quantization of circular strings in de Sitter and anti-de Sitter spacetimes.
نویسندگان
چکیده
We compute the exact equation of state of circular strings in the (2+1) dimensional de Sitter (dS) and anti de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting and expanding) strings. The string equation of state has the perfect fluid form P = (γ − 1)E, with the pressure and energy expressed closely and completely in terms of elliptic functions, the instantaneous coefficient γ depending on the elliptic modulus. We semi-classically quantize the oscillating circular strings. The string mass is m = √ C/(πHα), C being the Casimir operator, C = −LμνL , of the O(3, 1)-dS [O(2, 2)-AdS] group, and H is the Hubble constant. We find α′m2dS ≈ 5.9n, (n ∈ N0), and a finite number of states NdS ≈ 0.17/(H α) in de Sitter spacetime; m2AdS ≈ 4H n (large n ∈ N0) and NAdS = ∞ in anti de Sitter spacetime. The level spacing grows with n in AdS spacetime, while is approximately constant (although larger than in Minkowski spacetime) in dS spacetime. The massive states in dS spacetime decay through tunnel effect and the semi-classical decay probability is computed. The semiclassical quantization of exact (circular) strings and the canonical quantization of generic string perturbations around the string center of mass strongly agree.
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عنوان ژورنال:
- Physical review. D, Particles and fields
دوره 51 12 شماره
صفحات -
تاریخ انتشار 1995