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- Universidade Tecnológica Federal do ParanáBR32 papers
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4 papers · 1 filter
Thermodynamic Properties of the 2N-Piece Relativistic String
Iver Brevik, Andrei A. Bytsenko, Roger Sollie
The thermodynamic free energy F(β) is calculated for a gas consisting of the transverse oscillations of a piecewise uniform bosonic string. The string consists of 2N parts of equal…
Determinant Line Bundles and Topological Invariants of Hyperbolic Geometry - Expository Remarks
A. A. Bytsenko, M. C. Falleiros, A. E. Goncalves +1
We give some remarks on twisted determinant line bundles and Chern-Simons topological invariants associated with real hyperbolic manifolds. Index of a twisted Dirac operator is der…
Heat-Kernel Asymptotics of Locally Symmetric Spaces of Rank One and Chern-Simons Invariants
A. A. Bytsenko
The asymptotic expansion of the heat kernel associated with Laplace operators is considered for general irreducible rank one locally symmetric spaces. Invariants of the Chern-Simon…
Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds
A. A. Bytsenko, E. Elizalde, S. Zerbini
The first quantum correction to the finite temperature partition function for a self-interacting massless scalar field on a dimensional flat manifold with non-commutative e…