scholarly journals Stress in ordered systems: Ginzburg-Landau-type density field theory

2021 ◽  
Vol 103 (22) ◽  
Author(s):  
Vidar Skogvoll ◽  
Audun Skaugen ◽  
Luiza Angheluta
Keyword(s):  
Field Theory ◽  
Density Field ◽  
Ginzburg Landau

scholarly journals Aspects of renormalization in finite-density field theory

2015 ◽  
Vol 91 (19) ◽  
Author(s):  
A. Liam Fitzpatrick ◽  
Gonzalo Torroba ◽  
Huajia Wang
Keyword(s):  
Field Theory ◽  
Density Field ◽  
Finite Density

SUPERFLUID FIELD THEORY

1993 ◽  
Vol 08 (28) ◽  
pp. 5005-5021
Author(s):  
R.L. DAVIS
Keyword(s):  
Field Theory ◽  
Landau Theory ◽  
Fluid Model ◽  
Ginzburg Landau ◽  
Bosonic Field ◽  
Thermomechanical Effect ◽  
First Sound ◽  
Two Fluid Model ◽  
Two Fluid ◽  
Landau Criterion

The very low temperature dynamics of an isotropic superfluid is derived from a repulsive bosonic field theory. The field theory is a fully dynamical generalization of the Ginzburg-Landau theory, which at zero temperature has semiclassical superfluid solutions. It is shown that supercurrent quenching occurs above some intrinsic critical velocity. The speed of first sound is calculated and the Landau criterion for a maximum superfluid velocity is derived. At finite temperature, the thermodynamic potential is computed, the order parameter and gap equations are derived, the origin of the Landau two-fluid model is identified and the thermomechanical effect is explained. This theory successfully describes many of the features of 4He well below the critical temperature, as well as relativistic generalizations.

scholarly journals Effective Abelian-Higgs Theory from SU(2) gauge field theory

2005 ◽  
Vol 20 (15) ◽  
pp. 3481-3487 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON ◽  
DANNY DHOKARH
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Mass Term ◽  
Gauge Field Theory ◽  
Ginzburg Landau ◽  
Flux Tubes ◽  
Color Confinement

In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU (2) gauge theory. This has a connection to the dual superconducting model for color confinement where color flux tubes permanently bind quarks into color neutral states. The GL Lagrangian with a spontaneous symmetry breaking potential, has such (Nielsen-Olesen) flux tube solutions. The spontaneous symmetry breaking requires a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.

GINZBURG-LANDAU FROM FIELD THEORY

1991 ◽  
Vol 06 (01) ◽  
pp. 73-81 ◽  
Author(s):  
R. L. DAVIS
Keyword(s):  
Field Theory ◽  
Particle Density ◽  
Landau Theory ◽  
Mean Field Theory ◽  
Goldstone Boson ◽  
Index Of Refraction ◽  
Classical Solutions ◽  
Global Symmetry ◽  
Complex Scalar ◽  
Ginzburg Landau

A complex scalar mean-field theory has semi-classical solutions that display macroscopic superfluidity. The U (1) global symmetry is spontaneously broken by a ground-state with uniform particle density. The Nambu-Goldstone boson of that breaking is sound, but unlike the case for vacuum configurations the speed at which the Nambu-Goldstone boson travels is variable; it is determined by an index of refraction due to fluctuations in the magnitude of the order parameter. This field-theoretic description is shown to be a fully dynamical generalization of the Ginzburg-Landau theory. It is confirmed that Abrikosov vortices of the Ginzburg-Landau theory are spinning vortices of the field theory. While vacuum configurations are time-independent points in the manifold of degenerate minima to the effective potential, the ground states for superfluid systems are characterized by geodesic trajectories, and the symmetry is always restored in the limit of zero density.

U(1) Gauge Theory as a Collective Field Theory for Hubbard Model

1988 ◽  
Vol 02 (05) ◽  
pp. 613-623 ◽  
Author(s):  
Tetsuo Matsui
Keyword(s):  
Field Theory ◽  
Hubbard Model ◽  
Gauge Field ◽  
Landau Theory ◽  
Ginzburg Landau ◽  
Gauge Invariant ◽  
High Tc ◽  
Invariant Order ◽  
Path Integral Method ◽  
Higgs Scalar

I construct a collective field theory for Hubbard model of high Tc superconductivity, using a path-integral method in the third quantized (slave boson) form. It is a U(1) gauge invariant theory consisting of a U(1) gauge field and a Higgs scalar. The gauge field stands for resonating valence bonds and describes a (short range) antiferro-paramagnet phase transition by a condensation machanism. The Higgs scalar represents spinless holes carrying electric charges. Through the confining gauge force, there formed bounded hole pairs on each link, which correspond to the vector mesons in lattice QCD. A superconducting phase is to be described by a condensation of a gauge invariant order parameter for these hole pairs, and to be compared with the color confining chirally broken phase in QCD. A Ginzburg-Landau theory for the vector hole-pair field is proposed.

MACROSCOPICAL THEORY OF LAYERED SUPERCONDUCTORS

1990 ◽  
Vol 04 (11n12) ◽  
pp. 1849-1877 ◽  
Author(s):  
L.N. BULAEVSKII
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Organic Superconductors ◽  
Josephson Coupling ◽  
Critical Fields ◽  
Ginzburg Landau ◽  
Layered Superconductors ◽  
Intercalated Compounds ◽  
Mass Tensor

The macroscopical Ginzburg-Landau models with effective-mass tensor and Josephson coupling of the layers are used to describe the magnetic properties of layered superconductors (dichalcogenides of transition metals and intercalated compounds, organic superconductors and high-Tc copper oxide compounds). In the framework of such models the magnetic critical fields, Abrikosov lattice, torque, Josephson oscillations, Gaussian fluctuations are considered and the validity of mean field theory in the model with Josephson coupling is discussed. The layeredcompounds with different superconducting layers are also studied including the dependence of critical temperature on the strength of coupling and temperature dependence of magnetic anisotropy. The experimental data of high-Tc superconductors are discussed to show that in Bi- and Tl-compounds the conditions of Josephson coupling of layers is fulfilled.

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