Abstract
We talk about a low energy, effective, topological theory of superconductivity in which a topological mass term is radiatively induced in one loop effective action. In this field theoretic model, an antisymmetric tensor field couples with the vorticity current of charged Dirac fermions in the Lagrangian. The fermion loop generates a coupling between the gauge field and the antisymmetric tensor field below an ultraviolet cut-off. The spin interactions mediated by the antisymmetric tensor field induces a mass for the photon field indicating Meissner effect. The dual antisymmetric tensor field produces a current which satisfies the relativistic version of the London equations of superconductivity. In the non-relativistic limit, the static effective potential shows a linear, always attractive term between two electrons. Thus, the theory can be considered as an alternative, low energy, effective field theory of superconductivity without spontaneous symmetry breaking.
Highlights
The discovery of fractional Quantum Hall liquids (FQHL) led us to the developement of a new sector in the theory of solid state physics[1,2,3,4]
Description of the mechanism of incompressible FQHL demands the presence of a new kind of order parameter[5, 6] related to the topology of the system and the mechanism cannot be explained by ordinary theory of spontaneous symmetry breaking[7].The standard theory of superconductivity was due to Bardeen, Cooper and Schrieffer
We have found that a long range interaction between fermions, mediated by an antisymmetric tensor field effectively induces a derivative coupling between the photon field and the antisymmetric tensor field
Summary
The discovery of fractional Quantum Hall liquids (FQHL) led us to the developement of a new sector in the theory of solid state physics[1,2,3,4]. In (3 + 1)-dimensions it is important to know the actual form of the interaction which effectively leads to the topological mass generation of the photon[20, 21]. In this talk, we deal with a long range interaction between the fermions which is mediated by the antisymmetric tensor field. We deal with a long range interaction between the fermions which is mediated by the antisymmetric tensor field This non-local interaction effectively generates topological BF term in the one loop effective action. In the non-relativistic limit, the static effective potential has a linear attractive term between the interacting fermions[22]
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