A quantum field F(x) exists at an event x of space-time in general only as a
quadratic form. Only after smearing with a smooth test function we get an
operator. In this paper the question is considered whether it is possible as
well to smear F(x) with a singular test function T (i.e. a test distribution)
supported by a smooth timelike curve. It is shown that this is always possible
if F(x) satisfies the micro local spectrum condition and T belongs to a special
class of distributions which retain some regularity in timelike directions. In
the free field case these results are used to define some kind of
time-translation along the curve which generalizes global space-time
translations of Minkowski space.
Publié le : 2000-12-12
Classification:
Mathematical Physics,
General Relativity and Quantum Cosmology,
High Energy Physics - Theory,
81T20, 81T05 (Primary) 58Jxx, 46L60 (Secondary)
@article{0012024,
author = {Keyl, Michael},
title = {Quantum fields on timelike curves},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0012024}
}
Keyl, Michael. Quantum fields on timelike curves. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012024/