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Counting defects with the two-point correlator

delete2010-08-17
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PRE
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Arttu Rajantie *
A
Anders Tranberg
DOI:10.1007/JHEP08(2010)086delete
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摘要

摘要

En 中文
We study how topological defects manifest themselves in the equal-time two-point field correlator. We consider a scalar field with Z(2) symmetry in 1, 2 and 3 spatial dimensions, allowing for kinks, domain lines and domain walls, respectively. Using numerical lattice simulations, we find that in any number of dimensions, the correlator in momentum space is to a very good approximation the product of two factors, one describing the spatial distribution of the defects and the other describing the defect shape. When the defects are produced by the Kibble mechanism, the former has a universal form, which we determine numerically. This signature makes it possible to determine the kink density from the field correlator without having to resort to the Gaussian approximation. This is essential when studying field dynamics with methods relying only on correlators (Schwinger-Dyson, 2PI).
Keyword:
Solitons Monopoles and Instantons
Nonperturbative Effects
Global Symmetries
Lattice Quantum Field Theory
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期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
4.0W
被引数:
13.7W

机构

H
Helsinki Institute of Physics
学者数:
1.8K
论文数: 1.9K
被引数: 3.0K
I
Imperial College London
学者数:
8.3W
论文数: 7.3W
被引数: 11.1W
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