کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772373 | 1413364 | 2017 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications](/preview/png/5772373.png)
چکیده انگلیسی
In this paper we obtain restricted Markov uniqueness of the generator and uniqueness of martingale (probabilistically weak) solutions for the stochastic quantization problem in both the finite and infinite volume case by clarifying the precise relation between the solutions to the stochastic quantization problem obtained by the Dirichlet form approach and those obtained in [10] and in [24]. We prove that the solution XâZ, where X is obtained by the Dirichlet form approach in [4] and Z is the corresponding O-U process, satisfies the corresponding shifted equation (see (1.4) below). Moreover, we obtain that the infinite volume p(Φ)2 quantum field is an invariant measure for the X¯=Y+Z, where Y is the unique solution to the shifted equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 10, 15 May 2017, Pages 4263-4303
Journal: Journal of Functional Analysis - Volume 272, Issue 10, 15 May 2017, Pages 4263-4303
نویسندگان
Michael Röckner, Rongchan Zhu, Xiangchan Zhu,