RENORMALIZED POWERS OF QUANTUM WHITE NOISE
نویسندگان
چکیده
منابع مشابه
The emergence of the Virasoro and w∞ algebras through the renormalized powers of quantum white noise
We introduce a new renormalization for the powers of the Dirac delta function. We show that this new renormalization leads to a second quantized version of the Virasoro sector w∞ of the extended conformal algebra with infinite symmetries W∞ of Conformal Field Theory ( [4]-[7], [11], [13], [14]). In particular we construct a white noise (boson) representation of the w∞ generators and commutation...
متن کاملRenormalized Higher Powers of White Noise (rhpwn) and Conformal Field Theory
Abstract. The Virasoro–Zamolodchikov Lie algebra w∞ has been widely studied in string theory and in conformal field theory, motivated by the attempts of developing a satisfactory theory of quantization of gravity. The renormalized higher powers of quantum white noise (RHPWN) ∗-Lie algebra has been recently investigated in quantum probability, motivated by the attempts to develop a nonlinear gen...
متن کاملRENORMALIZED HIGHER POWERS OF WHITE NOISE AND THE VIRASORO–ZAMOLODCHIKOV–w∞ ALGEBRA
Abstract. Recently (cf. [1] and [2]) L. Accardi and A. Boukas proved that the generators of the second quantized Virasoro–Zamolodchikov–w∞ algebra can be expressed in terms of the Renormalized Higher Powers of White Noise and conjectured that this inclusion might in fact be an identity, in the sense that the converse is also true. In this paper we prove that this conjecture is true. We also exp...
متن کاملFOCK REPRESENTATION OF THE RENORMALIZED HIGHER POWERS OF WHITE NOISE AND THE VIRASORO–ZAMOLODCHIKOV–w∞ ∗–LIE ALGEBRA
Abstract. The identification of the ∗–Lie algebra of the renormalized higher powers of white noise (RHPWN) and the analytic continuation of the second quantized Virasoro– Zamolodchikov–w∞ ∗–Lie algebra of conformal field theory and high-energy physics, was recently established in [3] based on results obtained in [1] and [2]. In the present paper we show how the RHPWN Fock kernels must be trunca...
متن کاملHigher Powers of White Noise and Conformal Field Theory
Abstract. The Virasoro–Zamolodchikov Lie algebra w∞ has been widely studied in string theory and in conformal field theory. The renormalized higher (≥ 3) powers of quantum white noise (RHPWN) algebra has been recently investigated in quantum probability. We prove that, after introducing a new renormalization technique, the RHPWN Lie algebra can be identified with a second quantization of the w∞...
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ژورنال
عنوان ژورنال: Infinite Dimensional Analysis, Quantum Probability and Related Topics
سال: 2006
ISSN: 0219-0257,1793-6306
DOI: 10.1142/s0219025706002263