String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice

M. I. Polikarpov; U. J. Wiese; M. A. Zubkov

doi:10.1016/0370-2693(93)91516-P

String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice

M. I. Polikarpov, U. J. Wiese, M. A. Zubkov

Research output: Contribution to journal › Article › peer-review

75 Scopus citations

Abstract

The partition function of the 4D lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen-Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long-range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.

Original language	English
Pages (from-to)	133-138
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	309
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(93)91516-P
State	Published - 8 Jul 1993
Externally published	Yes

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abstract = "The partition function of the 4D lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen-Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long-range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.",

author = "Polikarpov, \{M. I.\} and Wiese, \{U. J.\} and Zubkov, \{M. A.\}",

note = "Funding Information: The work of M I P and M A Z has been partially supported by a grant of the American Physical Society The authors are grateful to M Mlnchev and to T L Ivanenko for interesting discussions MIP expresses his thanks to HLRZ in Juhch for hospltahty",

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AB - The partition function of the 4D lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen-Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long-range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.

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String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice

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