GIBBS MEASURES WITH DOUBLE STOCHASTIC INTEGRALS ON A PATH SPACE

被引：8

作者：

Betz, Volker ^{[1
]}

Hiroshima, Fumio ^{[2
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

[2] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2009年 / 12卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Double stochastic integral; Gibbs measures; Pauli-Fierz model; NONRELATIVISTIC QUANTUM ELECTRODYNAMICS; COUPLING-CONSTANTS; SELF-ADJOINTNESS; BROWNIAN-MOTION; GROUND-STATES; MODEL; SEMIGROUPS; FIELD;

D O I：

10.1142/S0219025709003574

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.

引用

页码：135 / 152

页数：18

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