Vortex tension as an order parameter in three-dimensional U(1) + Higgs theory

Kajantie, K.; Laine, M.; Neuhaus, T.; Peisa, J.; Rajantie, A.; Rummukainen, K.

doi:10.1016/S0550-3213(99)00033-4

Vortex tension as an order parameter in three-dimensional U(1) + Higgs theory

K. Kajantie
(
- CERN and
- Helsinki U.
)
,
M. Laine
(
- CERN and
- Helsinki U.
)
,
T. Neuhaus
(
- Helsinki Inst. of Phys. and
- Bielefeld U.
)
,
J. Peisa
(
- Swansea U.
)
,
A. Rajantie
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)

Sep, 1998

18 pages

Published in:

Nucl.Phys.B 546 (1999) 351-365

e-Print:

hep-ph/9809334 [hep-ph]

DOI:

10.1016/S0550-3213(99)00033-4

Report number:

CERN-TH-98-295,
HIP-1998-60-TH

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Abstract:

We use lattice Monte Carlo simulations to study non-perturbatively the tension, i.e. the free energy per unit length, of an infinitely long vortex in the three-dimensional U(1)+Higgs theory. This theory is the low-energy effective theory of high-temperature scalar electrodynamics, the standard framework for cosmic string studies. The vortex tension is measured as a function of the mass parameter at a large value of the Higgs self-coupling, where the transition between the phases is continuous. It is shown that the tension gives an order parameter that can distinguish between the two phases of the system. We argue that the vortex tension can describe the physics of long strings without lattice artifacts, unlike vortex network percolation.

Note:

18 pages, 7 figures Report-no: CERN-TH/98-295, HIP-1998-60/TH

11.27.+d
74.20.De
11.15.Ha
64.60.Fr
Cosmic strings
Superconductivity
Lattice simulations
Critical behaviour
Higgs model
gauge field theory: U(1)

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