重正化白噪声高次幂(RHPWN)与共形场论
Renormalized Higher Powers of White Noise (RHPWN) and Conformal Field Theory
摘要:
Virasoro-Zamolodchikov李代数$w_{\infty}$在弦论和共形场论中得到了广泛的研究,其动机是试图发展一个令人满意的引力量子化理论。量子白噪声(RHPWN)*-李代数的重正化高次幂最近在量子概率中得到了研究,其动机是试图发展随机和白噪声分析的非线性推广。我们证明,在引入一个新的重整化技术,RHPWN李代数包括第二个量子化的$w_{\infty}$代数。在本文结尾处讨论的论点提出了这样一种猜想,即这种包含实际上是一种鉴别
英文摘要:
The Virasoro--Zamolodchikov Lie algebra $w_{\infty}$ 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 generalization of stochastic and white noise analysis. We prove that, after introducing a new renormalization technique, the RHPWN Lie algebra includes a second quantization of the $w_{\infty}$ algebra. Arguments discussed at the end of this note suggest the conjecture that this inclusion is in fact an identification
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