Local Properties of Measures in Quantum Field Theory and Cosmology

Symmetry Integrability and Geometry-Methods and Applications

article

José M. Velhinho¹ 

[1] Universidade da Beira Interior

关键词: canonical quantization;    scalar field;    loop cosmology;    support of the measure;   

DOI  :  10.3842/SIGMA.2015.006

来源: National Academy of Science of Ukraine

【 摘 要 】

We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a characterization of the support of the measure associated with the canonical quantization of the free massive scalar field, following closely well known analogous results concerning the Euclidean path integral measure.

【 授权许可】

Unknown