Statistical mechanics of vortices from field theory

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

doi:10.1016/S0550-3213(99)00464-2

Statistical mechanics of vortices from field theory

K. Kajantie
(
- Helsinki U.
)
,
M. Laine
(
- CERN and
- Helsinki U.
)
,
T. Neuhaus
(
)
,
A. Rajantie
(
- Sussex U.
)
,
K. Rummukainen
(
- Nordita and
- Helsinki Inst. of Phys.
)

Jun, 1999

30 pages

Published in:

Nucl.Phys.B 559 (1999) 395-428

e-Print:

hep-lat/9906028 [hep-lat]

DOI:

10.1016/S0550-3213(99)00464-2

Report number:

CERN-TH-99-168,
NORDITA-99-24-HE,
HIP-98-085-TH

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Abstract:

We study with lattice Monte Carlo simulations the interactions and macroscopic behaviour of a large number of vortices in the 3-dimensional U(1) gauge+Higgs field theory, in an external magnetic field. We determine non-perturbatively the (attractive or repelling) interaction energy between two or more vortices, as well as the critical field strength H_c, the thermodynamical discontinuities, and the surface tension related to the boundary between the Meissner phase and the Coulomb phase in the type I region. We also investigate the emergence of vortex lattice and vortex liquid phases in the type II region. For the type I region the results obtained are in qualitative agreement with mean field theory, except for small values of H_c, while in the type II region there are significant discrepancies. These findings are relevant for superconductors and some models of cosmic strings, as well as for the electroweak phase transition in a magnetic field.

Note:

30 pages, 12 figures; references added, to appear in Nucl.Phys.B Subj-class: High Energy Physics - Lattice; Superconductivity

11.27.+d
11.10.Wx
11.15.Ha
74.25.Dw
Vortices
Magnetic field
Finite temperature
Lattice simulations
Phase diagram
lattice field theory

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