TY - JOUR

T1 - Quantum theory of strings in an Abelian Higgs model

AU - Akhmedov, E. T.

AU - Chernodub, M. N.

AU - Polikarpov, M. I.

AU - Zubkov, M. A.

PY - 1996

Y1 - 1996

N2 - Starting from the Abelian Higgs field theory we construct the theory of quantum Abrikosov-Nielsen-Olesen strings. It is shown that in four space-time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent, and the quantum theory exists. We also study an analogue of the Aharonov-Bohm effect: the corresponding topological interaction is proportional to the linking number of the string world sheet and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the Aharonov-Bohm effect gives rise to several nontrivial commutation relations.

AB - Starting from the Abelian Higgs field theory we construct the theory of quantum Abrikosov-Nielsen-Olesen strings. It is shown that in four space-time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent, and the quantum theory exists. We also study an analogue of the Aharonov-Bohm effect: the corresponding topological interaction is proportional to the linking number of the string world sheet and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the Aharonov-Bohm effect gives rise to several nontrivial commutation relations.

UR - http://www.scopus.com/inward/record.url?scp=0000816580&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.53.2087

DO - 10.1103/PhysRevD.53.2087

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AN - SCOPUS:0000816580

SN - 1550-7998

VL - 53

SP - 2087

EP - 2095

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 4

ER -