Phase transition in the Maxwell Chern-Simons theory with the Higgs term

Journal Article · Sat Aug 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.1810· OSTI ID:7012423

Hong, S; Kim, J K ^[1]

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1. Department of Physics, Korea Advanced Institute of Science and Technology, 373-1, Kusung-dong, Yusung-ku, Taejon (Korea, Republic of)

We consider the Maxwell Chern-Simons theory with the Higgs spontaneous-symmetry-breaking term as a model of high-temperature superconductivity. We find the finite-temperature effective potential in the one-loop approximation. In order to obtain the well-defined real effective potential and critical temperature, we restrict ourselves to the limiting case that the quartic term of the Higgs field vanishes, and choose the Landau gauge. For this case, we renormalize the finite-temperature effective potential by applying the renormalization conditions of Kirzhnits and Linde. We find the condensate of the Higgs field and discuss its stability. In addition, we evaluate the critical temperature {ital T}{sub {ital c}} of the phase transition into the U(1)-symmetry-preserving state from the U(1)-symmetry-broken state. The critical temperature {ital T}{sub {ital c}} is determined by the balance between the Higgs effect and the Chern-Simons effect which make the gauge theory massive. It is an increasing function of the coefficient of the Chern-Simons term for the fixed mass of the Higgs field, and vice versa.

• OSTI ID: 7012423
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
665410 -- Superconductivity-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRECTIONS
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
GINZBURG-LANDAU THEORY
HIGGS MODEL
HIGH-TC SUPERCONDUCTORS
INSTANTONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM MECHANICS
QUASI PARTICLES
RADIATIVE CORRECTIONS
RENORMALIZATION
SUPERCONDUCTORS
SYMMETRY BREAKING
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS