Two-loop effective potential of O(N)-symmetric scalar QED in 4−ε dimensions

2001/04/06 by H. Kleinert, B. Van den Bossche, Bruno Van Den Bossche
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Critical exponent #Gauge (firearms) #Gauge theory #Geometry #Mathematical physics #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Scalar (mathematics) #Tricritical point #cond-mat

paper · pdf · doi:10.1016/s0550-3213(02)00260-2

published as Nucl.Phys.B632:51-68,2002 · Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all PS fonts) at http://www.physik.fu-berlin.de/~kleinert/321

arxiv created 2001/04/06 · openalex publication_date 2002/06/01 · arxiv updated 2011/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The effective potential of scalar QED is computed analytically up to two loops in the Landau gauge. The result is given in 4-epsilon dimensions using minimal subtraction and epsilon-expansions. In three dimensions, our calculation is intended to help throw light on unsolved problems of the superconducting phase transition, where critical exponents and the position of the tricritical point have not yet found a satisfactory explanation within the renormalization group approach.

Citations

• Critical exponents from seven-loop strong-couplingφ4theory in three dimensions
• Critical exponents without β-function
• Critical properties of the topological Ginzburg-Landau model
• Four-loop vacuum energyβfunction inO<mml:mn/>(N)<mml:mn/>symmetric scalar theory
• Critical Fluctuations in Superconductors and the Magnetic Field Penetration Depth
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
• Critical fluctuations in normal-to-superconducting transition