Mathematical methods in physics : proceedings of the 1999 Londrina winter school : State University of Londrina, Brazil 17-26 August 1999
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書誌事項
Mathematical methods in physics : proceedings of the 1999 Londrina winter school : State University of Londrina, Brazil 17-26 August 1999
World Scientific, c2000
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注記
Includes bibliography
内容説明・目次
内容説明
This volume contains discussions on group representations of SL(2,R) and automorphic forms, with applications of the Selberg trace formula to the Landau spectrum for a uniform magnetic field on a Riemann surface, on particle creation in the early universe, Chern-Simons gauge theory on 3-manifolds, path integral representation of fractional spin particles, eta and zeta functions and Dirac operators, Schrödinger operators with periodic potential, elliptic genera for SUSY sigma models, quantum fields on curved space-times, black holes, and some discussions on string theory and quantum gravity.
目次
- Introduction to Chern-Simons gauge theory on general 3-manifolds, D.H. Adams
- Casimir energy and thermodynamic properties of the relativistic piecewise uniform string, I. Brevik and A.A. Bytsenko
- Chern-Simons invariants of closed hyperbolic 3-manifolds, A.A. Bytsenko et al
- asymptotics on elliptic genera and dyonic black hole degeneracy, A.A. Bytsenko and Z.G. Kuznetsova
- on anyonic propagators, W. Da Cruz
- on the global quasimomentum in solid state physics, N.E. Firsova
- particle creation and space-time of the early universe, A.A. Grib
- a brief introduction to black hole evapiration, J. Traschen
- group representations, Landau spectra, and magnetic zeta functions, F.L. Williams
- dirac functional determinants, eta invariant and the multiplicative anomaly, S. Zerbini.
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