Strings, Fields and Critical Phenomena

Ambjørn, J.

doi:10.1002/prop.2190360802

Cited by 5 publications

(3 citation statements)

References 50 publications

(13 reference statements)

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“…This theory features fluctuating closed magnetic vortices described by a disorder field theory. We will review here the derivation in the continuum, the discussion of the lattice derivation is relegated to the Appendix [8,15].…”

Section: Functional-integral Description Of a Loop Gasmentioning

confidence: 99%

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Dual Description of the Superconducting Phase Transition

1995

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The dual approach to the Ginzburg‐Landau theory of a Bardeen‐Cooper‐Schrieffer superconductor is reviewed. The dual theory describes a grand canonical ensemble of fluctuating closed magnetic vortices, of arbitrary length and shape, which interact with a massive vector field representing the local magnetic induction. When the critical temperature is approached from below, the magnetic vortices proliferate. This is signaled by the disorder field, which describes the loop gas, developing a non‐zero expectation value in the normal conducting phase. It therby breaks a global U(1) symmetry. The ensuing Goldstone field is the magnetic scalar potential. The superconducting‐to‐normal phase transition is studied by applying renormalization group theory to the dual formulation. In the regime of a second‐order transition, the critical exponents are given by those of a superfluid with a reversed temperature axis.

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Section: Functional-integral Description Of a Loop Gasmentioning

confidence: 99%

“…Here we give a lattice version of the arguments presented in Sec. III, showing the equivalence of a complex field theory and a loop gas [8,15]. We start with the free Hamiltonian (21) defined on a hypercubic lattice in D space dimensions.…”

mentioning

confidence: 99%

Dual Description of the Superconducting Phase Transition

1995

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“…III, showing the equivalence of a complex field theory and a loop gas [8,15]. We start with the free Hamiltonian (21) defined on a hypercubic lattice in D space dimensions.…”

Section: Appendixmentioning

confidence: 99%

Dual Description of the Superconducting Phase Transition

Fossheim

Sudbø

2004

Superconductivity

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Hydrogen and Helium under high pressure: A case for a classical theory of dense matter

Celebonovic

1989

Earth Moon Planet

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When subject to high pressure, H, and 3He are expected to undergo phase transitions, and to become metallic at a sufficiently high pressure. Using a semiclassical theory of dense matter proposed by SaviC and KaSanin, calculations of phase transition and metallisation pressure have been performed for these two materials. In hydrogen, metallisation occurs at pM = (3.0 f. 0.2) Mbar, while for helium the corresponding value is pw = (106 f 1) Mbar. A phase transition occurs in helium at p,, = (10.0 rt 0.4) Mbar. These values are close to the results obtainable by more rigorous methods. Possibilities of experimental verification of the calculations are briefly discussed.

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Strings, Fields and Critical Phenomena

Cited by 5 publications

References 50 publications

Dual Description of the Superconducting Phase Transition

Dual Description of the Superconducting Phase Transition

Dual Description of the Superconducting Phase Transition

Hydrogen and Helium under high pressure: A case for a classical theory of dense matter

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