Zeta regularization techniques with applications

Include index

Includes bibliography (p. 316) and references

Ch. 1. Riemann and Related Zeta Functions Ch. 2. Zeta-Function Regularization of Sums Over Known Spectrum Ch. 3. Zeta Function Regularization Generalized Ch. 4. The Casimir Effect in Flat Spacetime Ch. 5. Heat-Kernel and Zeta-Function Regularization Techniques in the Theory of Quantum Fields on Hyperbolic Space Ch. 6. Quantum Properties of Extended Objects Ch. 7. Finite-Temperature Effects in Quantum Field Theory Ch. 8. String Theory at Non-Zero Temperature Ch. 9. Covariant Effective Action in 2D Gravity Appendix: Calculation of Heat-Kernel Coefficients.

Discussing Zeta regularization techniques, this publication includes chapters on: the Reimann Zeta function; the Casimir effect in flat space-time; and properties of the chemical potential in higher-dimensional manifolds.