8 citations · 16 across the 15 of their papers we have counts for
10 papers · 1 filter
BCS Gap Equation on Riemannian Manifolds: A Heat Kernel Analysis
Levent Akant, Emine Ertugrul, O. Teoman Turgut
In this paper, we investigate the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity formulated on a three dimensional Riemannian manifold. We derive the gap equation in t…
Boundary Effects on the Thermodynamics of Quantum Fields Near a Static Black Hole
Emine Ertugrul, Levent Akant, Birses Debir
We investigate thermodynamics of a non-interacting quantum field in a static black hole background. The horizon divergences are regulated by the brick wall method, which consists o…
Equivariant Localization in Stochastic Quantization and Quenched Matrix Models
Levent Akant
It is shown that Parisi-Sourlas supersymmetry of stochastic quantization is a Cartan model of equivariant cohomology. Equivariant cohomological structure of stochastic quantization…
Deformation Quantization of Odd Dimensional anti-de Sitter Spaces as Contact Manifolds
Levent Akant
We quantize odd dimensional anti-de Sitter spaces by applying the method of deforming contact manifolds proposed by Rajeev. The construction in the present paper consists of the id…
Equivariant Symplectic Geometry of Gauge Fixing in Yang-Mills Theory
Levent Akant
The Faddeev-Popov gauge fixing in Yang-Mills theory is interpreted as equivariant localization. It is shown that the Faddeev-Popov procedure amounts to a construction of a symplect…
Non-anomalous `Ward' identities to supplement large-N multi-matrix loop equations for correlations
Levent Akant, Govind S. Krishnaswami
This work concerns single-trace correlations of Euclidean multi-matrix models. In the large-N limit we show that Schwinger-Dyson equations imply loop equations and non-anomalous Wa…